Nonlinear Markov Processes And Kinetic Equations
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Nonlinear Markov Processes And Kinetic Equations
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Author : Vassili N. Kolokoltsov
language : en
Publisher: Cambridge University Press
Release Date : 2010-07-15
Nonlinear Markov Processes And Kinetic Equations written by Vassili N. Kolokoltsov and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-15 with Mathematics categories.
A nonlinear Markov evolution is a dynamical system generated by a measure-valued ordinary differential equation with the specific feature of preserving positivity. This feature distinguishes it from general vector-valued differential equations and yields a natural link with probability, both in interpreting results and in the tools of analysis. This brilliant book, the first devoted to the area, develops this interplay between probability and analysis. After systematically presenting both analytic and probabilistic techniques, the author uses probability to obtain deeper insight into nonlinear dynamics, and analysis to tackle difficult problems in the description of random and chaotic behavior. The book addresses the most fundamental questions in the theory of nonlinear Markov processes: existence, uniqueness, constructions, approximation schemes, regularity, law of large numbers and probabilistic interpretations. Its careful exposition makes the book accessible to researchers and graduate students in stochastic and functional analysis with applications to mathematical physics and systems biology.
Nonlinear Markov Processes And Kinetic Equations
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Author : V. N. Kolokol't?s?ov
language : en
Publisher:
Release Date : 2014-05-14
Nonlinear Markov Processes And Kinetic Equations written by V. N. Kolokol't?s?ov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with Mathematics categories.
A careful exposition of the most fundamental questions in the theory of nonlinear Markov processes.
Markov Processes
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Author : Daniel T. Gillespie
language : en
Publisher: Gulf Professional Publishing
Release Date : 1992
Markov Processes written by Daniel T. Gillespie and has been published by Gulf Professional Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.
Markov process theory provides a mathematical framework for analyzing the elements of randomness that are involved in most real-world dynamical processes. This introductory text, which requires an understanding of ordinary calculus, develops the concepts and results of random variable theory.
Controlled Markov Processes And Viscosity Solution Of Nonlinear Evolution Equations
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Author : Wendell Helms Fleming
language : en
Publisher:
Release Date : 1986
Controlled Markov Processes And Viscosity Solution Of Nonlinear Evolution Equations written by Wendell Helms Fleming and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Differential games categories.
Markov Processes And Quantum Theory
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Author : Masao Nagasawa
language : en
Publisher: Springer Nature
Release Date : 2021-06-23
Markov Processes And Quantum Theory written by Masao Nagasawa and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-23 with Computers categories.
This book discusses quantum theory as the theory of random (Brownian) motion of small particles (electrons etc.) under external forces. Implying that the Schrödinger equation is a complex-valued evolution equation and the Schrödinger function is a complex-valued evolution function, important applications are given. Readers will learn about new mathematical methods (theory of stochastic processes) in solving problems of quantum phenomena. Readers will also learn how to handle stochastic processes in analyzing physical phenomena.
Stochastic Analysis 2010
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Author : Dan Crisan
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-11-26
Stochastic Analysis 2010 written by Dan Crisan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-26 with Mathematics categories.
Stochastic Analysis aims to provide mathematical tools to describe and model high dimensional random systems. Such tools arise in the study of Stochastic Differential Equations and Stochastic Partial Differential Equations, Infinite Dimensional Stochastic Geometry, Random Media and Interacting Particle Systems, Super-processes, Stochastic Filtering, Mathematical Finance, etc. Stochastic Analysis has emerged as a core area of late 20th century Mathematics and is currently undergoing a rapid scientific development. The special volume “Stochastic Analysis 2010” provides a sample of the current research in the different branches of the subject. It includes the collected works of the participants at the Stochastic Analysis section of the 7th ISAAC Congress organized at Imperial College London in July 2009.
Advances In Discrete Dynamical Systems Difference Equations And Applications
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Author : Saber Elaydi
language : en
Publisher: Springer Nature
Release Date : 2023-03-25
Advances In Discrete Dynamical Systems Difference Equations And Applications written by Saber Elaydi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-25 with Mathematics categories.
This book comprises selected papers of the 26th International Conference on Difference Equations and Applications, ICDEA 2021, held virtually at the University of Sarajevo, Bosnia and Herzegovina, in July 2021. The book includes the latest and significant research and achievements in difference equations, discrete dynamical systems, and their applications in various scientific disciplines. The book is interesting for Ph.D. students and researchers who want to keep up to date with the latest research, developments, and achievements in difference equations, discrete dynamical systems, and their applications, the real-world problems.
Markov Processes Feller Semigroups And Evolution Equations
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Author : J. A. van Casteren
language : en
Publisher: World Scientific
Release Date : 2011
Markov Processes Feller Semigroups And Evolution Equations written by J. A. van Casteren and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
The book provides a systemic treatment of time-dependent strong Markov processes with values in a Polish space. It describes its generators and the link with stochastic differential equations in infinite dimensions. In a unifying way, where the square gradient operator is employed, new results for backward stochastic differential equations and long-time behavior are discussed in depth. The book also establishes a link between propagators or evolution families with the Feller property and time-inhomogeneous Markov processes. This mathematical material finds its applications in several branches of the scientific world, among which are mathematical physics, hedging models in financial mathematics, and population models.
Markov Processes Feller Semigroups And Evolution Equations
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Author : Jan A Van Casteren
language : en
Publisher: World Scientific
Release Date : 2010-11-25
Markov Processes Feller Semigroups And Evolution Equations written by Jan A Van Casteren and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-25 with Mathematics categories.
The book provides a systemic treatment of time-dependent strong Markov processes with values in a Polish space. It describes its generators and the link with stochastic differential equations in infinite dimensions. In a unifying way, where the square gradient operator is employed, new results for backward stochastic differential equations and long-time behavior are discussed in depth. The book also establishes a link between propagators or evolution families with the Feller property and time-inhomogeneous Markov processes. This mathematical material finds its applications in several branches of the scientific world, among which are mathematical physics, hedging models in financial mathematics, and population models.
Mathematics And Life Sciences
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Author : Alexandra V. Antoniouk
language : en
Publisher: Walter de Gruyter
Release Date : 2012-12-19
Mathematics And Life Sciences written by Alexandra V. Antoniouk and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-19 with Mathematics categories.
The book provides a unique collection of in-depth mathematical, statistical, and modeling methods and techniques for life sciences, as well as their applications in a number of areas within life sciences. The book provides also with a range of new ideas that represent emerging frontiers in life sciences where the application of such quantitative methods and techniques is becoming increasingly important. Many areas within life sciences are becoming increasingly quantitative and the progress in those areas will be more and more dependent on the successful development of advanced mathematical, statistical and modelling methodologies and techniques. The state-of-the-art developments in such methodologies and techniques are scattered throughout research journals and hardly accessible to the practitioners in those areas. This book identifies a number of frontier areas where such methodologies and techniques have recently been developed and are to be published here for the first time, bringing substantial potential benefit to a range of applications in life sciences. In addition, the book contains several state-of-the-art surveys at the interface of mathematics and life sciences that would benefit a larger interdisciplinary community. It is aimed at researchers in academia, practitioners and graduate students who want to foster interdisciplinary collaborations required to meet the challenges at the interface of modern life sciences and mathematics.