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This monograph studies a series of mathematical models of the evolution of a population under mutation and selection. Its starting point is the quasis...Savoir plus
This monograph aims to promote original mathematical methods to determine the invariant measure of two-dimensional random walks in domains with bounda...Savoir plus
This book presents broadly applicable methods for the large deviation and moderate deviation analysis of discrete and continuous time stochastic syste...Savoir plus
Offering the first comprehensive treatment of the theory of random measures, this book has a very broad scope, ranging from basic properties of Poisso...Savoir plus
This book is focused on the recent developments on problems of probability model uncertainty by using the notion of nonlinear expectations and, in par...Savoir plus
Probability theory on compact Lie groups deals with the interaction between "chance" and "symmetry," a beautiful area of mathematics of great interest...Savoir plus
This book undertakes a detailed construction of Dynamic Markov Bridges using a combination of theory and real-world applications to drive home importa...Savoir plus
This monograph focuses on those stochastic quickest detection tasks in disorder problems that arise in the dynamical analysis of statistical data. The...Savoir plus
This book provides a compact introduction to the theory of measure-valued branching processes, immigration processes and Ornstein-Uhlenbeck type proce...Savoir plus
Offering the first comprehensive treatment of the theory of random measures, this book has a very broad scope, ranging from basic properties of Poisso...Savoir plus
This book contains an in-depth treatment of matrix-exponential (ME) distributions and their sub-class of phase-type (PH) distributions. Loosely speaki...Savoir plus
Presenting tools to aid understanding of asymptotic theory and weakly dependent processes, this book is devoted to inequalities and limit theorems for...Savoir plus
This book provides a compact introduction to the theory of measure-valued branching processes, immigration processes and Ornstein-Uhlenbeck type proce...Savoir plus
This research monograph brings together, for the first time, the varied literature on Yosida approximations of stochastic differential equations (SDEs...Savoir plus
This is the first book to systematically present control theory for stochastic distributed parameter systems, a comparatively new branch of mathematic...Savoir plus
This monograph, now in a thoroughly revised second edition, develops the theory of stochastic calculus in Hilbert spaces and applies the results to th...Savoir plus
This two-volume book offers a comprehensive treatment of the probabilistic approach to mean field game models and their applications. The book is self...Savoir plus
The emphasis in this book is placed on general models (Markov chains, random fields, random graphs), universal methods (the probabilistic method, the ...Savoir plus
Provides a systematic study from linear equations to fully nonlinear equations Includes up-to-date developments in the field A powerful and convenient...Savoir plus
This book is aimed at researchers, graduate students and engineers who would like to be initiated to Piecewise Deterministic Markov Processes (PDMPs)....Savoir plus
Drawing on advanced probability theory, Ambit Stochastics is used to model stochastic processes which depend on both time and space. This monograph, t...Savoir plus
This book is focused on the recent developments on problems of probability model uncertainty by using the notion of nonlinear expectations and, in par...Savoir plus
This research monograph brings together, for the first time, the varied literature on Yosida approximations of stochastic differential equations (SDEs...Savoir plus
Presenting the first unified treatment of limit theorems for multiple sums of independent random variables, this volume fills an important gap in the ...Savoir plus