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Linear Ordinary and Functional Differential Equations

**Henri Bourlès**,* SATIE Laboratory (CNAM/ENS Paris-Saclay)*, France.

May 2024

The theory of dynamic systems is addressed in this book in accordance with the “modern” approach, heir to algebraic analysis, which has been implemented since the last decade of the 20th century.
After a reminder of the evolution of the representati**... (Read more)**

New Aspects

**Volodymyr Makarov**,* University of Kyiv*, Ukraine.
**Nataliya Mayko**,* University of Kyiv*, Ukraine.

March 2024

This book is devoted to the construction and study of approximate methods for solving mathematical physics problems in canonical domains. It focuses on obtaining weighted a priori estimates of the accuracy of these methods while also considering the influe**... (Read more)**

Introduction

**El Mustapha Ait Ben Hassi**,* CRMEF in Marrakech*, Morocco.

October 2023

Many physical, chemical, biological and even economic phenomena can be modeled by differential or partial differential equations, and the framework of distribution theory is the most efficient way to study these equations. A solid familiarity with the lang**... (Read more)**

**Dmitri Koroliouk**,* National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”*, and University of Rome Tor Vergata, Italy
**Igor Samoilenko**,* University of Kyiv*, Ukraine

September 2023

This book illustrates a number of asymptotic and analytic approaches applied for the study of random evolutionary systems, and considers typical problems for specific examples. In this case, constructive mathematical models of natural processes are used, w**... (Read more)**

**Daniel Parrochia**,* Universities of Toulouse*, Montpellier and Lyon, France

May 2023

From Pythagoreans to Hegel, and beyond, this book gives a brief overview of the history of the notion of graphs and introduces the main concepts of graph theory in order to apply them to philosophy. In addition, this book presents how philosophers can use **... (Read more)**

Analytical and Simulation Approach – Queues and Simulation

**Srinivas R. Chakravarthy**,* Kettering University in Michigan*, USA

October 2022

Matrix-analytic methods (MAM) were introduced by Professor Marcel Neuts and have been applied to a variety of stochastic models since.
In order to provide a clear and deep understanding of MAM while showing their power, this book presents MAM concepts a**... (Read more)**

Analytical and Simulation Approach – Basics

**Srinivas R. Chakravarthy**,* Kettering University in Michigan*, USA

September 2022

**... (Read more)**

**Jacques Simon**,* CNRS*, France

September 2022

This book presents a simple and original theory of distributions, both real and vector, adapted to the study of partial differential equations. It deals with value distributions in a Neumann space, that is, in which any Cauchy suite converges, which encomp**... (Read more)**

Integration, Path Properties and Equations

**Vadym M. Radchenko**,* University of Kyiv*, Ukraine

September 2022

This book is devoted to the study of stochastic measures (SMs). An SM is a sigma-additive in probability random function, defined on a sigma-algebra of sets. SMs can be generated by the increments of random processes from many important classes such as squ**... (Read more)**

**Ahmed Lesfari**,* Chouaib Doukkali University*, Morocco

June 2022

This book illustrates the powerful interplay between topological, algebraic and complex analytical methods, within the field of integrable systems, by addressing several theoretical and practical aspects. Contemporary integrability results, discovered in t**... (Read more)**

Edited by

**Nathalie Peyrard**,* INRAE*, France
**Olivier Gimenez**,* CNRS*, France

April 2022

The study of ecological systems is often impeded by components that escape perfect observation, such as the trajectories of moving animals or the status of plant seed banks. These hidden components can be efficiently handled with statistical modeling by us**... (Read more)**

Combinatorial Algebra and Hopf Algebras

Edited by

**Abdenacer Makhlouf**,* University of Haute Alsace*, France

February 2022

This book is part of Algebra and Geometry, a subject within the SCIENCES collection published by ISTE and Wiley, and the second of three volumes specifically focusing on algebra and its applications. Algebra and Applications 2 centers on the increasing rol**... (Read more)**

**Benoîte de Saporta**,* University of Montpellier*, France
**Mounir Zili**,* University of Monastir*, Tunisia

January 2022

This book is entirely devoted to discrete time and provides a detailed introduction to the construction of the rigorous mathematical tools required for the evaluation of options in financial markets. Both theoretical and practical aspects are explored thro**... (Read more)**

Asymptotic Properties and Large Deviations

**Dmitri Koroliouk**,* National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”*, Ukraine
**Igor Samoilenko**,* Taras Shevchenko National University of Kyiv*, Ukraine

November 2021

Within the field of modeling complex objects in natural sciences, which considers systems that consist of a large number of interacting parts, a good tool for analyzing and fitting models is the theory of random evolutionary systems, considering their asym**... (Read more)**

Introduction to Functional Analysis and its Applications

**Edoardo Provenzi**,* University of Bordeaux*, France

September 2021

From Euclidian to Hilbert Spaces analyzes the transition from finite dimensional Euclidian spaces to infinite-dimensional Hilbert spaces, a notion that can sometimes be difficult for non-specialists to grasp. The focus is on the parallels and differences b**... (Read more)**

Edited by

**Nikolaos Limnios**,* Sorbonne University*, France.
**Eleftheria Papadimitriou**,* Aristotle University of Thessaloniki*, Greece
**George Tsaklidis**,* University of Thessaloniki*, Greece

June 2021

The study of earthquakes is a multidisciplinary field, an amalgam of geodynamics, mathematics, engineering and more. The overriding commonality between them all is the presence of natural randomness.
Stochastic studies (probability, stochastic processes**... (Read more)**

Non-associative Algebras and Categories

Edited by

**Abdenacer Makhlouf**,* University of Haute Alsace*, France

April 2021

This book is part of Algebra and Geometry, a subject within the SCIENCES collection published by ISTE and Wiley, and the first of three volumes specifically focusing on algebra and its applications. Algebra and Applications 1 centers on non-associative alg**... (Read more)**

Advanced Trends

Edited by

**Vladimir Anisimov**,* Amgen Inc.*, United Kingdom
**Nikolaos Limnios**,* University of Technology of Compiègne - Sorbonne University Group*, France

April 2021

The aim of this book is to reflect the current cutting-edge thinking and established practices in the investigation of queueing systems and networks.
This first volume includes ten chapters written by experts well-known in their areas. The book studies **... (Read more)**

Advanced Trends

Edited by

**Vladimir Anisimov**,* Amgen Inc.*, United Kingdom
**Nikolaos Limnios**,* University of Technology of Compiègne - Sorbonne University Group*, France

April 2021

The aim of this book is to reflect the current cutting-edge thinking and established practices in the investigation of queueing systems and networks.
This second volume includes eight chapters written by experts well-known in their areas. The book condu**... (Read more)**

Introductory Course

**Mikhail Moklyachuk**,* Taras Shevchenko National University of Kyiv*, Ukraine

February 2021

This book provides easy access to the basic principles and methods for solving constrained and unconstrained convex optimization problems. Included are sections that cover: basic methods for solving constrained and unconstrained optimization problems with **... (Read more)**

Homogeneous Random Motions and their Applications

**Anatoliy Pogorui**,* Consultant
***Anatoliy Swishchuk**,* University of Calgary*, Canada
**Ramón M. Rodríguez-Dagnino**,* Consultant*

February 2021

This book is the first of two volumes on random motions in Markov and semi-Markov random environments. This first volume focuses on homogenous random motions.
This volume consists of two parts, the first describing the basic concepts and methods that ha**... (Read more)**

High-dimensional Random Motions and Financial Applications

**Anatoliy Pogorui**,* Consultant
***Anatoliy Swishchuk**,* University of Calgary*, Canada
**Ramón M. Rodríguez-Dagnino**,* Consultant*

February 2021

This book is the second of two volumes on random motions in Markov and semi-Markov random environments. This second volume focuses on high-dimensional random motions.
This volume consists of two parts. The first expands many of the results found in Volu**... (Read more)**

**Yaroslav Chabanyuk**,* Lublin University of Technology*, Poland
**Anatolii Nikitin**,* Taras Shevchenko National University of Kyiv*, Ukraine
**Uliana Khimka**,* Ivan Franko National University of Lviv*, Ukraine

December 2020

This book analyzes stochastic evolutionary models under the impulse of diffusion, as well as Markov and semi-Markov switches. Models are investigated under the conditions of classical and non-classical (Levy and Poisson) approximations in addition to jumpi**... (Read more)**

Edited by

**Vlad Stefan Barbu**,* University of Rouen Normandy*, France
**Nicolas Vergne**,* University of Rouen Normandy*, France

November 2020

This book is a collective volume authored by leading scientists in the field of stochastic modeling for dependent data, associated statistical topics and corresponding applications. These issues are crucial, as we face a growing need for increasingly compl**... (Read more)**

**Jacques Simon**,* CNRS*, France

October 2020

This book is the second of a set dedicated to the mathematical tools used in partial differential equations derived from physics.
It presents the properties of continuous functions, which are useful for solving partial differential equations, and, more **... (Read more)**

**Dmitri Koroliouk**,* National Technical University of Ukraine *, Ukraine

March 2020

This book is devoted to the system analysis of statistical experiments, determined by the averaged sums of sampling random variables. The dynamics of statistical experiments are given by difference stochastic equations with a speci?ed regression function o**... (Read more)**

Edited by

**Solym Mawaki Manou-Abi**,* Centre Universitaire de Mayotte*, France
**Sophie Dabo-Niang**,* University of Lille*, France
**Jean-Jacques Salone**,* Centre Universitaire de Mayotte*, France

February 2020

This book highlights mathematical research interests that appear in real life, such as the study and modeling of random and deterministic phenomena. As such, it provides current research in mathematics, with applications in biological and environmental sci**... (Read more)**

Construction and Properties

**Alexander Kukush**,* National University of Kyiv*, Ukraine

December 2019

At the nexus of probability theory, geometry and statistics, a Gaussian measure is constructed on a Hilbert space in two ways: as a product measure and via a characteristic functional based on Minlos-Sazonov theorem. As such, it can be utilized for obtaini**... (Read more)**

**Maksym Luz**,* BNP Paribas Cardif*, Ukraine
**Mikhail Moklyachuk**,* Taras Shevchenko National University of Kyiv*, Ukraine

October 2019

Estimation of Stochastic Processes is intended for researchers in the field of econometrics, financial mathematics, statistics or signal processing. This book gives a deep understanding of spectral theory and estimation techniques for stochastic processes **... (Read more)**

Differential Calculus, Tensor Calculus, Differential Geometry, Global Analysis

**Henri Bourlès**,* Conservatoire National des Arts et Métiers in Paris*, France

September 2019

Published in three volumes, this series, Fundamentals of Advanced Mathematics, presents mathematical elements that make up the foundations of a number of contemporary scientific methods: modern systems theory, physics and engineering.
This third volume **... (Read more)**

Approximations and Projections

**Oksana Banna**,* Taras Shevchenko National University of Kyiv*, Ukraine
**Yuliya Mishura**,* Taras Shevchenko National University of Kyiv*, Ukraine
**Kostiantyn Ralchenko**,* Taras Shevchenko National University of Kyiv*, Ukraine
**Sergiy Shklyar**,* Taras Shevchenko National University of Kyiv*, Ukraine

April 2019

This monograph studies the relationships between fractional Brownian motion (fBm) and other processes of more simple form. In particular, this book solves the problem of the projection of fBm onto the space of Gaussian martingales that can be represented a**... (Read more)**

**Thomas Michelitsch**,* Institut Jean le Rond d'Alembert*, Sorbonne University, France
**Alejandro Pérez Riascos**,* Institute of Physics at the Universidad Nacional Autónoma de México
***Bernard Collet**,* Institut Jean le Rond d'Alembert*, Sorbonne University, France
**Andrzej Nowakowski**,* University of Sheffield*, UK
**Franck Nicolleau**,* University of Sheffield*, UK

April 2019

This book analyzes stochastic processes on networks and regular structures such as lattices by employing the Markovian random walk approach.
Part 1 is devoted to the study of local and non-local random walks. It shows how non-local random walk strategie**... (Read more)**

**Irene Votsi**,* Le Mans University*, France
**Nikolaos Limnios**,* University of Technology of Compiègne*, France
**Eleftheria Papadimitriou**,* Aristotle University of Thessaloniki*, Greece
**George Tsaklidis**,* Aristotle University of Thessaloniki*, Greece

January 2019

Earthquake occurrence modeling is a rapidly developing research area. This book deals with its critical issues, ranging from theoretical advances to practical applications.
The introductory chapter outlines state-of-the-art earthquake modeling approache**... (Read more)**

**Kamel Gana**,* University of Bordeaux*, France
**Guillaume Broc**,* Claude Bernard University Lyon 1*, France

January 2019

This book presents an introduction to structural equation modeling (SEM) and facilitates the access of students and researchers in various scientific fields to this powerful statistical tool. It offers a didactic initiation to SEM as well as to the open-so**... (Read more)**

Edited by

**Romain Azaïs**,* ENS Lyon*, France
**Florian Bouguet**,* China*

July 2018

Piecewise-deterministic Markov processes form a class of stochastic models with a sizeable scope of applications: biology, insurance, neuroscience, networks, finance, etc. Such processes are defined by a deterministic motion punctuated by random jumps at r**... (Read more)**

Theory, Strategy, Finance

**Mohammed Ibrahimi**,* National School of Commerce and Management*, Casablanca, Morocco

July 2018

This book on financial strategy covers the evolution of mergers and acquisitions by focusing primarily on value creation. Aware that the stages of this phenomenon remain largely misunderstood in finance, the author defines various types of operations, expl**... (Read more)**

**Yuliya Mishura**,* Taras Shevchenko National University of Kyiv*, Ukraine
**Mounir Zili**,* University of Monastir*, Tunisia

May 2018

This book reflects upon the current trends arising in both the theoretical study and the practical modeling of phenomena that exhibit fractionality. There is a tendency to transition from one type of fractionality to several types presented simultaneously;**... (Read more)**

**Daniel Parrochia**,* CNRS*, Paris, France

May 2018

This book explores the major impact of mathematical ideas on philosophical thought. It shows that from Antiquity (Plato) to the end of the Middle Ages (Nicholas of Cusa), philosophy and mathematics have been linked. At the time, visions of the world direct**... (Read more)**

Field Extensions, Topology and Topological Vector Spaces, Functional Spaces, and Sheaves

**Henri Bourlès**,* Conservatoire National des Arts et Métiers*, France

January 2018

The three volumes of this series of books, of which this is the second, put forward the mathematical elements that make up the foundations of a number of contemporary scientific methods: modern theory on systems, physics and engineering.
Whereas the fi**... (Read more)**

**Miguel González Velasco**,* University of Extremadura*, Spain
**Inés M. del Puerto García**,* University of Extremadura*, Spain
**George P. Yanev**,* University of Texas Rio Grande Valley*, USA

December 2017

Controlled branching (CB) processes constitute a very large class of stochastic processes, which includes different policies of immigration and emigration. The independence of individuals’ evolution is a fundamental assumption in the classical branching **... (Read more)**

**Alexandre Brouste**,* Le Mans University*, France

November 2017

Finance and insurance companies are facing a wide range of parametric statistical problems. Statistical experiments generated by a sample of independent and identically distributed random variables are frequent and well understood, especially those consist**... (Read more)**

**Yuliya Mishura**,* National University of Kyiv*, Ukraine
**Georgiy Shevchenko**,* National University of Kyiv*, Ukraine

November 2017

This book is concerned with the theory of stochastic processes and the theoretical aspects of statistics for stochastic processes. It combines classic topics such as construction of stochastic processes, associated filtrations, processes with independent i**... (Read more)**

**Götz Kersting**,* Goethe University*, Germany
**Vladimir Vatutin**,* Steklov Mathematical Institute*, Russia

October 2017

Branching processes are stochastic processes which represent the reproduction of particles, such as individuals within a population, and thereby model demographic stochasticity. In branching processes in random environment (BPREs), additional environmental**... (Read more)**

From Traditional to Alternative Risk Premia

Edited by

**Emmanuel Jurczenko**,* Ecole hôtelière de Lausanne*, Switzerland

October 2017

This new edited volume consists of a collection of original articles written by leading industry experts in the area of factor investing.
The chapters introduce readers to some of the latest research developments in the area of equity and alternative in**... (Read more)**

Quantitative Finance Set

**François-Serge Lhabitant**,* EDHEC Business School*, France

October 2017

Portfolio diversification is widely practiced, but rarely discussed or challenged. Consequently, many investors end up disappointed, with portfolios that hold a little bit of everything but fail to be well diversified.
This book introduces a new framew**... (Read more)**

**Maurice Kibler**,* Claude Bernard University Lyon 1*, France

September 2017

This book constitutes an elementary introduction to rings and fields, in particular Galois rings and Galois fields, with regard to their application to the theory of quantum information, a field at the crossroads of quantum physics, discrete mathematics an**... (Read more)**

Lifetime Data Analysis Based on Underlying Stochastic Processes

**Chrysseis Caroni**,* National Technical University of Athens*, Greece

July 2017

This book aims to promote regression methods for analyzing lifetime (or time-to-event) data that are based on a representation of the underlying process, and are therefore likely to offer greater scientific insight compared to purely empirical methods.
**... (Read more)**

Short- and Long-term Models and their Validation

**Rodolfo Console**,* Consultant
***Maura Murru**,* National Institute of Geophysics and Volcanology*, Italy
**Giuseppe Falcone**,* National Institute of Geophysics and Volcanology*, Italy

July 2017

Earthquake Occurrence provides the reader with a review of algorithms applicable for modeling seismicity, such as short-term earthquake clustering and pseudo-periodic long-term behavior of major earthquakes. The concept of the likelihood ratio of a set of **... (Read more)**

Categories, Algebraic Structures, Linear and Homological Algebra

**Henri Bourlès**,* Conservatoire National des Arts et Métiers*, France

July 2017

The three volumes of this series of books, of which this is the first, put forward the mathematical elements that make up the foundations of a number of contemporary scientific methods: modern theory on systems, physics and engineering.
This first volum**... (Read more)**

Stochastic Models in Survival Analysis and Reliability Set – Volume 3

**Mikhail S. Nikulin**,* University Victor Segalen*, France
**Ekaterina V. Chimitova**,* Novosibirsk State Technical University*, Russia

June 2017

This book is devoted to the problems of construction and application of chi-squared goodness-of-fit tests for complete and censored data. Classical chi-squared tests assume that unknown distribution parameters are estimated using grouped data, but in pract**... (Read more)**

**Jacques Simon**,* CNRS*, France

May 2017

This book is the first of a set dedicated to the mathematical tools used in partial differential equations derived from physics.
Its focus is on normed or semi-normed vector spaces, including the spaces of Banach, Fréchet and Hilbert, with new developmen**... (Read more)**

Stochastic Models for Insurance Set – Volume 1

**Guglielmo D’Amico**,* “G. d’Annunzio” University of Chieti-Pescara*, Italy
**Giuseppe Di Biase**,* “G. d’Annunzio” University of Chieti-Pescara*, Italy
**Jacques Janssen**,* Solvay Brussels School of Economics and Management*, Belgium
**Raimondo Manca**,* University of Rome “La Sapienza”*, Italy

May 2017

Credit risk is one of the most important contemporary problems for banks and insurance companies. Indeed, for banks, more than forty percent of the equities are necessary to cover this risk. Though this problem is studied by large rating agencies with sub**... (Read more)**

Elementary Tribute to Grassmann's Ideas

**Vincent Pavan**,* Aix-Marseille University*, France

May 2017

Exterior algebras have two key characteristics: they are relatively unknown and essential to linear algebra. Since being theorized by Grassmann in 1844, they have remained tragically forgotten.
This book presents the construction and use of exterior alg**... (Read more)**

Making Value Creation Repeatable

**Florian Ielpo**,* University of Paris 1*, France
**Chafic Merhy**,* University Paris IX Dauphine*, France
**Guillaume Simon**,* Capital Fund Management
*

April 2017

This book explores the quantitative steps of a financial investment process.
The authors study how these steps are articulated in order to make any value creation, whatever the asset class, consistent and robust.
The discussion includes factors, portfoli**... (Read more)**

Finite Dimensional General Models

**Giorgio Celant**,* University of Padua*, Italy
**Michel Broniatowski**,* Université Pierre et Marie Curie*, France

April 2017

This book considers various extensions of the topics treated in the first volume of this series, in relation to the class of models and the type of criterion for optimality. The regressors are supposed to belong to a generic finite dimensional Haar linear **... (Read more)**

Optimization in Insurance and Finance Set

**Caroline Hillairet**,* University Paris Saclay*, CREST, France
**Ying Jiao**,* University of Lyon*, France

February 2017

This book presents recent progress made in stochastic portfolio optimization with asymmetry information, modeled through different filtrations.
The authors apply the theory of the enlargement of filtrations and solve the optimization problem. Two main **... (Read more)**

Stochastic Models in Survival Analysis and Reliability Set – Volume 2

**Boris Harlamov**,* State University*, St. Petersburg, Russia

February 2017

This book confronts a growing business problem. How plausible is it for a business to control the dynamic of their capital? Central to this book is the theory of the probability of ruin and how this may not necessarily mean the end of business activity. In**... (Read more)**

**Yuriy Kozachenko**,* Taras Shevchenko National University of Kyiv*, Ukraine
**Oleksandr Pogorilyak**,* Uzhgorod National University*, Ukraine
**Iryna Rozora**,* Taras Shevchenko National University of Kyiv*, Ukraine
**Antonina Tegza**,* Uzhgorod National University*, Ukraine

December 2016

Simulation has now become an integral part of research and development across many fields of study. Despite the large amounts of literature in the field of simulation and modeling, one recurring problem is the issue of accuracy and confidence level of cons**... (Read more)**

Signals, Measurement and Transmission Channels

Edited by

**Monica Billio**,* Ca’ Foscari University of Venice*, Italy
**Loriana Pelizzon**,* Ca’ Foscari University of Venice*, Italy
**Roberto Savona**,* University of Brescia*, Italy

December 2016

In April 2010 Europe was shocked by the Greek financial turmoil. At that time, the global financial crisis, which started in the summer of 2007 and reached systemic dimensions in September 2008 with the Lehman Brothers’ crash, took a new course. An adver**... (Read more)**

**Thierry Goudon**,* Université Côte d’Azur*, France

November 2016

The book provides the mathematical basis for investigating numerical equations from physics, life sciences or engineering. Tools for analysis and algorithms are applied to a large set of relevant examples to show the difficulties and the limitations of the**... (Read more)**

Smoothness, Bounds, Supermartingale Approach

**Yuliya Mishura and Olena Ragulina**,* National University of Kyiv*, Ukraine

October 2016

The book is an original monograph on risk theory, which is traditionally considered a branch of insurance mathematics. It deals with different continuous-time risk models and mainly provides results obtained by the authors recently.
The book covers seve**... (Read more)**

Optimization in Insurance and Finance Set

**Vigirdas Mackevicius**,* Faculty of Mathematics and Informatics of Vilnius University*, Lithuania

October 2016

This book presents a short introduction to continuous-time financial models. An overview of the basics of stochastic analysis precedes a focus on the Black–Scholes and interest rate models. Other topics covered include self-financing strategies, option p**... (Read more)**

**Jacques Henry**,* INRIA Bordeaux Sud-ouest*, France
**Angel Manuel Ramos**,* Complutense University of Madrid*, Spain

October 2016

This book presents a new “factorized” formulation, for boundary value problems for linear elliptic partial differential equations.
Based on the invariant embedding method of Richard Bellman, well-known for the synthesis of closed loop optimal control**... (Read more)**

Stochastic Models in Survival Analysis and Reliability Set – Volume 1

**Vladimir Rykov**,* Russian State Oil and Gas University*, Moscow

August 2016

This book is based on a lecture course to students specializing in the safety of technological processes and production.
The author focuses on three main problems in technological risks and safety: elements of reliability theory, the basic notions, models**... (Read more)**

Mathematical Models and Methods in Reliability Set – Volume 3

**Waltraud Kahle**,* University Magdeburg*, Germany
**Sophie Mercier and Christian Paroissin**,* University of Pau and Pays de l'Adour*, France

May 2016

“Degradation process” refers to many types of reliability models, which correspond to various kinds of stochastic processes used for deterioration modeling.
This book focuses on the case of a univariate degradation model with a continuous set of poss**... (Read more)**

Stochastic Models in Computer Science and Telecommunication Networks Set – Volume 1

**Carla Fabiana Chiasserini**,* Polytechnic University of Turin*, Italy
**Marco Gribaudo**,* Polytechnic University of Milan*, Italy
**Daniele Manini**,* University of Turin*, Italy

May 2016

Wireless networks represent an inexpensive and convenient way to connect to the Internet. However, despite their applications across several technologies, one challenge still remains: to understand the behavior of wireless sensor networks and assess their **... (Read more)**

**Michel Kern**,* Inria Research Center*, Paris, France

April 2016

This book studies methods to concretely address inverse problems. An inverse problem arises when the causes that produced a given effect must be determined or when one seeks to indirectly estimate the parameters of a physical system.
The author uses pract**... (Read more)**

Polynomial Regression and Approximation Theory

**Giorgio Celant**,* University of Padua*, Italy
**Michel Broniatowski**,* University Pierre and Marie Curie*, Paris, France

April 2016

This book is the first of a series which focuses on the interpolation and extrapolation of optimal designs, an area with significant applications in engineering, physics, chemistry and most experimental fields.
In this volume, the authors emphasize the im**... (Read more)**

Optimization in Insurance and Finance Set

**Yuliya Mishura**,* National University of Kyiv*, Ukraine

January 2016

Devoted to financial markets both with discrete and continuous time, this book also describes how to make the transition from discrete to continuous time in option pricing. Chapter 1 presents the dynamic model of a financial market with discrete time. The **... (Read more)**

Application to Reliability

**Benoîte de Saporta**,* University of Montpellier 2*, France
**François Dufour**,* University of Bordeaux*, France
**Huilong Zhang**,* INRIA*, Bordeaux, France

December 2015

Mark H.A. Davis introduced the Piecewise-Deterministic Markov Process (PDMP) class of stochastic hybrid models in an article in 1984. Today it is used to model a variety of complex systems in the fields of engineering, economics, management sciences, biolo**... (Read more)**

Application to Water Network Asset Managment

**Yves Le Gat**,* National Research Institute of Science and Technology for Environment and Agriculture (IRSTEA)*, France

December 2015

This book presents research work into the reliability of drinking water pipes.
The infrastructure of water pipes is susceptible to routine failures, namely leakage or breakage, which occur in an aggregative manner in pipeline networks. Creating strategi**... (Read more)**

Quantitative Finance Set

Edited by

**Emmanuel Jurczenko**,* Ecole Hôtelière de Lausanne*, Switzerland

November 2015

This book is a collection of exclusive new articles written by leading academics and practitioners in the area of risk-based and factor investing (RBFI).
The articles introduce readers to some of the latest, cutting-edge research encountered by academics **... (Read more)**

Optimization in Insurance and Finance Set

**Alexander Gushchin**,* Higher School of Economics*, Russia,

August 2015

In 1994 and 1998 F. Delbaen and W. Schachermayer published two breakthrough papers in which they proved continuous-time versions of the Fundamental Theorem of Asset Pricing. This is one of the most remarkable achievements in modern Mathematical Finance, wh**... (Read more)**

Quantitative Finance Set

**Serge Darolles**,* Paris–Dauphine University*, France
**Christian Gourieroux**,* University of Toronto*, Canada

August 2015

Much of the previous literature on financial contagion and systematic risks has been motivated by the finding that cross-market correlations (resp. co-exceedances) between asset returns increase significantly during crisis periods. Is this increase due to **... (Read more)**

**Pierre Devolder**,* University of West Brittany*, Brest, France
**Jacques Janssen**,* Solvay Business School*, Brussels, Belgium
**Raimondo Manca**,* University of Roma*, Italy

August 2015

In this book, the authors focus on two big families of stochastic processes: stochastic calculus, including Lévy processes, and Markov and semi-Markov models. From a financial point of view, essential concepts such as the Black and Scholes model, VaR indi**... (Read more)**

Data, Diagnostics and Dependence

**Roger M. Cooke**,* Resources for the Future*, Washington, USA
**Daan Nieboer**,* Erasmus Medical Centre – University Medical Centre Rotterdam*, the Netherlands
**Jolanta Misiewicz**,* Warsaw University of Technology*, Poland

November 2014

This book has been written for numerate non-specialists and serves three purposes.
Firstly, it gathers together mathematical material from diverse but related fields of order statistics, records, extreme value theory, majorization, regular variation and**... (Read more)**

From Rather Simple to Rather Complex

**Vigirdas Mackevicius**,* Faculty of Mathematics of Vilnius University*, Lithuania

August 2014

This book is devoted to integration, one of the two main operations in calculus.
In Part 1, the definition of the integral of a one-variable function is different (not essentially, but rather methodically) from traditional definitions of Riemann or Leb**... (Read more)**

2nd Edition Revised and Updated

Edited by

**Vangelis Th. Paschos**,* University of Paris-Dauphine*, France

July 2014

This updated and revised 2nd edition of the three-volume Combinatorial Optimization series covers a very large set of topics in this area, dealing with fundamental notions and approaches as well as several classical applications of Combinatorial Optimizati**... (Read more)**

Problems and New Approaches – 2nd Edition Revised and Updated

Edited by

**Vangelis Th. Paschos**,* University of Paris-Dauphine*, France

July 2014

**... (Read more)**

2nd Edition Revised and Updated

Edited by

**Vangelis Th. Paschos**,* University of Paris-Dauphine*, France

July 2014

**... (Read more)**

In honor of M.S. Nikulin

Edited by

**Vincent Couallier**,* Bordeaux Segalen University*, France
**Léo Gerville-Réache**,* Bordeaux 2 University*, France
**Catherine Huber-Carol**,*Paris René Descartes University*, France
**Nikolaos Limnios**,* Compiègne University of Technology*, France
**Mounir Mesbah**,* University Pierre and Marie Curie*, Paris, France

November 2013

Statistical Models and Methods for Reliability and Survival Analysis brings together contributions by specialists in statistical theory as they discuss their applications providing up-to-date developments in methods used in survival analysis, statistical g**... (Read more)**

Theory, Algorithms and applications

**Bruno Sericola**,* Inria Rennes – Bretagne Atlantique*, France

July 2013

Markov chains are a fundamental class of stochastic processes. They are widely used to solve problems in a large number of domains such as operational research, computer science, communication networks and manufacturing systems. The success of Markov chain**... (Read more)**

**Jacques Janssen**,* Solvay Brussels School of Management and Economics*, Belgium
**Oronzio Manca**,* Seconda Università degli Studi di Napoli*, Aversa
**Raimondo Manca**,* La Sapienza University*, Rome, Italy

March 2013

The aim of this book is to promote interaction between engineering, finance and insurance, as these three domains have many models and methods of solution in common for solving real-life problems. The authors point out the strict inter-relations that exist**... (Read more)**

Edited by

**Karl Bang Christensen and Svend Kreiner**,* University of Copenhagen*, Denmark
**Mounir Mesbah**,* UPMC*, Paris, France

December 2012

The family of statistical models known as Rasch models started with a simple model for responses to questions in educational tests presented together with a number of related models that the Danish mathematician Georg Rasch referred to as models for measur**... (Read more)**

**Denis Bosq**,* UPMC*, Paris, France

April 2012

Generally, books on mathematical statistics are restricted to the case of independent identically distributed random variables. In this book however, both this case AND the case of dependent variables, i.e. statistics for discrete and continuous time proce**... (Read more)**

**Laurent Decreusefond**,* Télécom ParisTech*, France
**Pascal Moyal**,* Compiègne University of Technology*, France

March 2012

This book addresses the stochastic modeling of telecommunication networks, introducing the main mathematical tools for that purpose, such as Markov processes, real and spatial point processes and stochastic recursions, and presenting a wide list of results**... (Read more)**

**Pierre Devolder**,* Université catholique de Louvain*, Belgium
**Jacques Janssen**,* Solvay Business School*, Brussels, Belgium
**Raimondo Manca**,* University “La Sapienza”*, Rome, Italy

January 2012

The book will present all the stochastic models that can be used for the study of pension schemes and the management of pension funds. Advanced stochastic tools will be used for the construction of the models presented.
Quantitative finance has become a**... (Read more)**

**Hervé Raynaud**,* Sigmund Freud Universität*, Vienna, Austria
**in collaboration with Kenneth J. Arrow**,* Stanford University*, USA

August 2011

The publication of the first book by Kenneth Arrow and Hervé Raynaud, in 1986, led to an important wave of research in the field of axiomatic approach applied to managerial logic. Managerial Logic summarizes the prospective results of this research and of**... (Read more)**

Integrals and Differential Equations

**Vigirdas Mackevicius**,* Vilnius University*, Lithuania

June 2011

This is an introduction to stochastic integration and stochastic differential equations written in an understandable way for a wide audience, from students of mathematics to practitioners in biology, chemistry, physics, and finances. The presentation is b**... (Read more)**

**Vilijandas Bagdonavicius**,* University of Vilnius*, Lithuania.
**Julius Kruopis**,* University of Vilnius*, Lithuania.
**Mikhail S. Nikulin**,* Institute of Mathematics*, Bordeaux, France.

December 2010

Statistical analysis of data sets usually involves construction of a statistical model of the distribution of data within the available sample – and by extension the distribution of all data of the same category in the world. Statistical models are eith**... (Read more)**

**Vilijandas Bagdonavicius**,* University of Vilnius*, Lithuania.
**Julius Kruopis**,* University of Vilnius*, Lithuania.
**Mikhail S. Nikulin**,* Institute of Mathematics*, Bordeaux, France.

December 2010

**... (Read more)**

**Marius Iosifescu**,* Bucharest Institute of Mathematical Statistics and Applied Mathematics*, Romania
**Nikolaos Limnios**,* University of Technology of Compiègne*, France
**Gheorghe Oprisan**,* Politehnica University of Bucharest*, Romania.

March 2010

This book provides a pedagogical examination of the way in which stochastic models are encountered in applied sciences and techniques such as physics, engineering, biology and genetics, economics and social sciences. It covers Markov and semi-Markov models**... (Read more)**

**P. C.G. Vassiliou**,* University College London*, UK

January 2010

Stochastic finance and financial engineering are fields of science that have expanded rapidly over the past four decades, due mainly to the success of sophisticated quantitative methodologies in helping professionals manage financial risks. In recent years**... (Read more)**

**P-C.G. Vassiliou**,* University College London*, UK

January 2010

These two volumes provide a foundation course on applied stochastic finance for students, financial analysts and practitioners, and any professional interested in learning advanced mathematical and stochastic methods through finance.
The books are illus**... (Read more)**

Deterministic and Stochastic Models

**Jacques Janssen**,* Solvay Business School and Jacan*, Belgium,
**Raimondo Manca and Ernesto Volpe di Prignano**,* University “La Sapienza”*, Rome, Italy

December 2008

This textbook covers the uniform laws of financial practice and classical methods for evaluating amortization, annuities, capital markets, interest rates, liability, sinking funds and term structures. An overview of stochastic processes and the Itô calcu**... (Read more)**

**Georges Fiche**,* Alcatel-Lucent*, France
**Gérard Hébuterne**,* INT*, France

October 2008

This book offers comprehensive coverage of the basic mathematical tools for the engineer in the field of communication technologies – generation, processing and transport of all forms of information, data and images. It provides the essential results in **... (Read more)**

**Vladimir Anisimov**,* GlaxoSmithKline*, UK

May 2008

The book is devoted to developing the asymptotic theory for the class of switching queueing models which covers state-dependent models in a Markov or semi-Markov environment, models under the influence of flows of external or internal perturbations, unreli**... (Read more)**

Edited by

**Catherine Huber**,* Université de Paris René Descartes*, France.
**Nikolaos Limnios**,* University of Technology of Compiègne*, France.
**Mounir Mesbah**,* Université Pierre et Marie Curie*, Paris 6, France.
**Mikhail Nikulin**,* Université Victor Segalen*, Bordeaux 2, France.

February 2008

Reliability and survival analysis are important applications of stochastic mathematics (probability, statistics and stochastic processes) that are usually covered separately in spite of the similarity of the mathematical theory involved.
This book aims **... (Read more)**

**Boris Harlamov**,* State University*, St. Petersburg, Russia

November 2007

This book considers the special class of random processes known as semi-Markov processes. These possess the Markov property with respect to any intrinsic Markov time such as the first exit time from an open set or a finite iteration of these times.
This**... (Read more)**

**Maurice Clerc**,* France Télécom*, France

February 2006

This is the first book devoted entirely to Particle Swarm Optimization (PSO), which is a non-specific algorithm, similar to evolutionary algorithms, such as taboo search and ant colonies. Since its original development in 1995, PSO has mainly been applied **... (Read more)**

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