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题名/责任者:

Distribution of statistical observables for anomalous and nonergodic diffusions : from statistics to mathematics / Weihua Deng, Xudong Wang, Daxin Nie, Xing Liu.

版本说明:

First edition.

出版发行项:

Boca Raton : CRC Press, Taylor & Francis Group, 2022.

ISBN:

9781032245218

ISBN:

9781032245232

载体形态项:

xi, 226 pages : illustrations ; 23 cm

个人责任者:

Deng, Weihua, author.

附加个人名称:

Wang, Xudong, 1992- author.

附加个人名称:

Nie, Daxin, 1993- author.

附加个人名称:

Liu, Xing, 1987- author.

论题主题:

Diffusion processes.

论题主题:

Ergodic theory.

论题主题:

Stochastic partial differential equations.

论题主题:

Stochastic processes.

论题主题:

Density functionals.

论题主题:

Statistical physics.

中图法分类号:

O211.6

书目附注:

Includes bibliographical references and index.

摘要附注:

"This book investigates statistical observables for anomalous and nonergodic dynamics, focusing on the dynamical behaviors of particles modelled by non-Brownian stochastic processes in the complex real-world environment. Statistical observables are widely used for anomalous and nonergodic stochastic systems, thus serving as a key to uncover their dynamics. This study explores the cutting edge of anomalous and nonergodic diffusion from the perspectives of mathematics, computer science, statistical and biological physics, and chemistry. With this interdisciplinary approach, multiple physical applications and mathematical issues are discussed, including stochastic and deterministic modelling, analyses of (stochastic) partial differential equations (PDEs), scientific computations and stochastic analyses, etc. Through regularity analysis, numerical scheme design and numerical experiments, the book also derives the governing equations for the probability density function of statistical observables, linking stochastic processes with PDEs. The book will appeal to both researchers of electrical engineering expert in the niche area of statistical observables and stochastic systems and scientists in a broad range of fields interested in anomalous diffusion, especially applied mathematicians and statistical physicists"--

豆瓣简介：