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  • Limit Theorems in Probability, Statistics and Number Theory

    In Honor of Friedrich Götze

    Series series Springer Nature Proceedings excluding Computer Science
    Limit theorems and asymptotic results form a central topic in probability theory and mathematical statistics. New and non-classical limit theorems have been discovered for processes in random environments, especially in connection with random matrix theory and free probability. These questions and the techniques for answering them combine asymptotic enumerative combinatorics, particle systems and ... Leer más

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  • Pseudodifferential Equations Over Non-Archimedean Spaces

    Series series Mathematics and Statistics (R0)
    Focusing on p-adic and adelic analogues of pseudodifferential equations, this monograph presents a very general theory of parabolic-type equations and their Markov processes motivated by their connection with models of complex hierarchic systems. The Gelfand-Shilov method for constructing fundamental solutions using local zeta functions is developed in a p-adic setting and several particular ... Leer más

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  • A Panorama of Discrepancy Theory

    Series series Mathematics and Statistics (R0)
    This is the first work on Discrepancy Theory to show the present variety of points of view and applications covering the areas Classical and Geometric Discrepancy Theory, Combinatorial Discrepancy Theory and Applications and Constructions. It consists of several chapters, written by experts in their respective fields and focusing on the different aspects of the theory.Discrepancy theory concerns ... Leer más

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  • Recent Developments in Fractals and Related Fields

    Conference on Fractals and Related Fields III, île de Porquerolles, France, 2015

    Edición de Julien Barral, Stéphane Seuret ...
    Series series Springer Nature Proceedings excluding Computer Science
    This contributed volume provides readers with an overview of the most recent developments in the mathematical fields related to fractals, including both original research contributions, as well as surveys from many of the leading experts on modern fractal theory and applications. It is an outgrowth of the Conference of Fractals and Related Fields III, that was held on September 19-25, 2015 in île ... Leer más

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  • Fourier Analysis and Stochastic Processes

    Series series Mathematics and Statistics (R0)
    This work is unique as it provides a uniform treatment of the Fourier theories of functions (Fourier transforms and series, z-transforms), finite measures (characteristic functions, convergence in distribution), and stochastic processes (including arma series and point processes).It emphasises the links between these three themes. The chapter on the Fourier theory of point processes and signals ... Leer más

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  • Stochastic Control Theory

    Dynamic Programming Principle

    de Makiko Nisio ...
    Series Libro 72 - Probability Theory and Stochastic Modelling
    This book offers a systematic introduction to the optimal stochastic control theory via the dynamic programming principle, which is a powerful tool to analyze control problems.First we consider completely observable control problems with finite horizons. Using a time discretization we construct a nonlinear semigroup related to the dynamic programming principle (DPP), whose generator provides the ... Leer más

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  • Computational and Analytical Mathematics

    In Honor of Jonathan Borwein's 60th Birthday

    Series series Springer Nature Proceedings excluding Computer Science
    The research of Jonathan Borwein has had a profound impact on optimization, functional analysis, operations research, mathematical programming, number theory, and experimental mathematics. Having authored more than a dozen books and more than 300 publications, Jonathan Borwein is one of the most productive Canadian mathematicians ever. His research spans pure, applied, and computational ... Leer más

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  • From Particle Systems to Partial Differential Equations

    PSPDE IV, Braga, Portugal, December 2015

    Series series Springer Nature Proceedings excluding Computer Science
    "This book addresses mathematical problems motivated by various applications in physics, engineering, chemistry and biology. It gathers the lecture notes from the mini-course presented by Jean-Christophe Mourrat on the construction of the various stochastic “basic” terms involved in the formulation of the dynamic Ö4 theory in three space dimensions, as well as selected contributions presented at ... Leer más

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  • Analytic Semigroups and Semilinear Initial Boundary Value Problems

    de Kazuaki Taira ...
    Series Libro 434 - London Mathematical Society Lecture Note Series
    A careful and accessible exposition of a functional analytic approach to initial boundary value problems for semilinear parabolic differential equations, with a focus on the relationship between analytic semigroups and initial boundary value problems. This semigroup approach is distinguished by the extensive use of the ideas and techniques characteristic of the recent developments in the theory of ... Leer más

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  • Mittag-Leffler Functions, Related Topics and Applications

    Series series Mathematics and Statistics (R0)
    As a result of researchers’ and scientists’ increasing interest in pure as well as applied mathematics in non-conventional models, particularly those using fractional calculus, Mittag-Leffler functions have recently caught the interest of the scientific community. Focusing on the theory of the Mittag-Leffler functions, the present volume offers a self-contained, comprehensive treatment, ranging ... Leer más

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  • Probability Theory

    A Comprehensive Course

    de Achim Klenke ...
    Series series Mathematics and Statistics (R0)
    This second edition of the popular textbook contains a comprehensive course in modern probability theory, covering a wide variety of topics which are not usually found in introductory textbooks, including:• limit theorems for sums of random variables• martingales• percolation• Markov chains and electrical networks• construction of stochastic processes• Poisson point process and infinite ... Leer más

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  • An Operator Semigroup in Mathematical Genetics

    Series series Mathematics and Statistics (R0)
    This authored monograph presents a mathematical description of the time evolution of neutral genomic regions in terms of the differential Lyapunov equation. The qualitative behavior of its solutions, with respect to different mutation models and demographic patterns, can be characterized using operator semi group theory.Mutation and drift are two of the main genetic forces, which act on genes of ... Leer más

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