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Random Walk And Diffusion Models

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Random Walk And Diffusion Models

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Author : Wolfgang Schwarz
language : en
Publisher:
Release Date : 2022

Random Walk And Diffusion Models written by Wolfgang Schwarz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with Biomathematics categories.

This book offers an accessible introduction to random walk and diffusion models at a level consistent with the typical background of students in the life sciences. In recent decades these models have become widely used in areas far beyond their traditional origins in physics, for example, in studies of animal behavior, ecology, sociology, sports science, population genetics, public health applications, and human decision making. Developing the main formal concepts, the book provides detailed and intuitive step-by-step explanations, and moves smoothly from simple to more complex models. Finally, in the last chapter, some successful and original applications of random walk and diffusion models in the life and behavioral sciences are illustrated in detail. The treatment of basic techniques and models is consolidated and extended throughout by a set of carefully chosen exercises.

Random Walk And Diffusion Models

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Author : Wolf Schwarz
language : en
Publisher: Springer Nature
Release Date : 2022-10-06

Random Walk And Diffusion Models written by Wolf Schwarz and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-06 with Mathematics categories.

Dual Process Theories Of The Social Mind

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Author : Jeffrey W. Sherman
language : en
Publisher: Guilford Publications
Release Date : 2014-05-01

Dual Process Theories Of The Social Mind written by Jeffrey W. Sherman and has been published by Guilford Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-01 with Psychology categories.

"This volume provides an authoritative synthesis of a dynamic, influential area of psychological research. Leading investigators address all aspects of dual-process theories: their core assumptions, conceptual foundations, and applications to a wide range of social phenomena. In 38 chapters, the volume addresses the pivotal role of automatic and controlled processes in attitudes and evaluation; social perception; thinking and reasoning; self-regulation; and the interplay of affect, cognition, and motivation. Current empirical and methodological developments are described. Critiques of the duality approach are explored and important questions for future research identified"--

Elements Of Random Walk And Diffusion Processes

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Author : Oliver C. Ibe
language : en
Publisher: John Wiley & Sons
Release Date : 2013-09-23

Elements Of Random Walk And Diffusion Processes written by Oliver C. Ibe and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-23 with Mathematics categories.

Presents an important and unique introduction to random walk theory Random walk is a stochastic process that has proven to be a useful model in understanding discrete-state discrete-time processes across a wide spectrum of scientific disciplines. Elements of Random Walk and Diffusion Processes provides an interdisciplinary approach by including numerous practical examples and exercises with real-world applications in operations research, economics, engineering, and physics. Featuring an introduction to powerful and general techniques that are used in the application of physical and dynamic processes, the book presents the connections between diffusion equations and random motion. Standard methods and applications of Brownian motion are addressed in addition to Levy motion, which has become popular in random searches in a variety of fields. The book also covers fractional calculus and introduces percolation theory and its relationship to diffusion processes. With a strong emphasis on the relationship between random walk theory and diffusion processes, Elements of Random Walk and Diffusion Processes features: Basic concepts in probability, an overview of stochastic and fractional processes, and elements of graph theory Numerous practical applications of random walk across various disciplines, including how to model stock prices and gambling, describe the statistical properties of genetic drift, and simplify the random movement of molecules in liquids and gases Examples of the real-world applicability of random walk such as node movement and node failure in wireless networking, the size of the Web in computer science, and polymers in physics Plentiful examples and exercises throughout that illustrate the solution of many practical problems Elements of Random Walk and Diffusion Processes is an ideal reference for researchers and professionals involved in operations research, economics, engineering, mathematics, and physics. The book is also an excellent textbook for upper-undergraduate and graduate level courses in probability and stochastic processes, stochastic models, random motion and Brownian theory, random walk theory, and diffusion process techniques.

Statistical Mechanics And Random Walks

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Author : Abram Skogseid
language : en
Publisher:
Release Date : 2011-10

Statistical Mechanics And Random Walks written by Abram Skogseid and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10 with Engineering mathematics categories.

In this book, the authors gather and present topical research in the study of statistical mechanics and random walk principles and applications. Topics discussed in this compilation include the application of stochastic approaches to modelling suspension flow in porous media; subordinated Gaussian processes; random walk models in biophysical science; non-equilibrium dynamics and diffusion processes; global random walk algorithm for diffusion processes and application of random walks for the analysis of graphs, musical composition and language phylogeny.

First Steps In Random Walks

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Author : J. Klafter
language : en
Publisher: OUP Oxford
Release Date : 2011-08-18

First Steps In Random Walks written by J. Klafter and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-18 with Science categories.

The name "random walk" for a problem of a displacement of a point in a sequence of independent random steps was coined by Karl Pearson in 1905 in a question posed to readers of "Nature". The same year, a similar problem was formulated by Albert Einstein in one of his Annus Mirabilis works. Even earlier such a problem was posed by Louis Bachelier in his thesis devoted to the theory of financial speculations in 1900. Nowadays the theory of random walks has proved useful in physics and chemistry (diffusion, reactions, mixing flows), economics, biology (from animal spread to motion of subcellular structures) and in many other disciplines. The random walk approach serves not only as a model of simple diffusion but of many complex sub- and super-diffusive transport processes as well. This book discusses the main variants of random walks and gives the most important mathematical tools for their theoretical description.

Statistical Mechanics And Random Walks

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Author : Abram Skogseid
language : en
Publisher: Nova Science Publishers
Release Date : 2012-02-01

Statistical Mechanics And Random Walks written by Abram Skogseid and has been published by Nova Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-02-01 with Mathematics categories.

Variational And Diffusion Problems In Random Walk Spaces

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Author : José M. Mazón
language : en
Publisher: Springer Nature
Release Date : 2023-08-04

Variational And Diffusion Problems In Random Walk Spaces written by José M. Mazón and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-04 with Mathematics categories.

This book presents the latest developments in the theory of gradient flows in random walk spaces. A broad framework is established for a wide variety of partial differential equations on nonlocal models and weighted graphs. Within this framework, specific gradient flows that are studied include the heat flow, the total variational flow, and evolution problems of Leray-Lions type with different types of boundary conditions. With many timely applications, this book will serve as an invaluable addition to the literature in this active area of research. Variational and Diffusion Problems in Random Walk Spaces will be of interest to researchers at the interface between analysis, geometry, and probability, as well as to graduate students interested in exploring these areas.

Intersections Of Random Walks

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Author : Gregory F. Lawler
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Intersections Of Random Walks written by Gregory F. Lawler 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 2013-06-29 with Mathematics categories.

A more accurate title for this book would be "Problems dealing with the non-intersection of paths of random walks. " These include: harmonic measure, which can be considered as a problem of nonintersection of a random walk with a fixed set; the probability that the paths of independent random walks do not intersect; and self-avoiding walks, i. e. , random walks which have no self-intersections. The prerequisite is a standard measure theoretic course in probability including martingales and Brownian motion. The first chapter develops the facts about simple random walk that will be needed. The discussion is self-contained although some previous expo sure to random walks would be helpful. Many of the results are standard, and I have made borrowed from a number of sources, especially the ex cellent book of Spitzer [65]. For the sake of simplicity I have restricted the discussion to simple random walk. Of course, many of the results hold equally well for more general walks. For example, the local central limit theorem can be proved for any random walk whose increments have mean zero and finite variance. Some of the later results, especially in Section 1. 7, have not been proved for very general classes of walks. The proofs here rely heavily on the fact that the increments of simple random walk are bounded and symmetric.

Aspects And Applications Of The Random Walk

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Author : George Herbert Weiss
language : en
Publisher: Elsevier Science & Technology
Release Date : 1994

Aspects And Applications Of The Random Walk written by George Herbert Weiss and has been published by Elsevier Science & Technology this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Computers categories.

Paperback. Both the formalism and many of the attendant ideas related to the random walk lie at the core of a significant fraction of contemporary research in statistical physics. In the language of physics the random walk can be described as a microscopic model for transport processes which have some element of randomness. The starting point of nearly all analyses of transport in disordered media is to be found in one or another type of random walk model. Mathematical formalism based on the theory of random walks is not only pervasive in a number of areas of physics, but also finds application in many areas of chemistry. The random walk has also been applied to the study of a number of biological phenomena.Despite the obvious importance of random walks in these and other applications there are few books devoted to the subject. This is therefore a timely introduction to the subject which will be welcomed by students and more senior researchers who have

Random Walk And Diffusion Models

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