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Distribution of statistical observab...

Deng, Weihua,

Distribution of statistical observables for anomalous and nonergodic diffusions :from statistics to mathematics /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Distribution of statistical observables for anomalous and nonergodic diffusions :Weihua Deng ... [et al.].
其他題名:	from statistics to mathematics /
其他作者:	Deng, Weihua,
出版者:	Boca Raton :CRC Press, Taylor & Francis Group,2022.
面頁冊數:	xi, 227 p. :ill. ;23 cm.
標題:	Density functionals.
ISBN:	9781032245218 :

Distribution of statistical observables for anomalous and nonergodic diffusions :from statistics to mathematics /
Distribution of statistical observables for anomalous and nonergodic diffusions :from statistics to mathematics /Weihua Deng ... [et al.]. - 1st ed. - Boca Raton :CRC Press, Taylor & Francis Group,2022. - xi, 227 p. :ill. ;23 cm.

Includes bibliographical references and index.

Statistical observables -- Numerical methods for the governing equations of PDF of statistical observable -- Numerical methods for the stochastic governing equations of PDF of statistical observable.

"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 theirdynamics. 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 thisinterdisciplinary 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"--

ISBN: 9781032245218 :NT$2434

LCCN: 2021050932Subjects--Topical Terms:

208522
Density functionals.

LC Class. No.: QA274.75 / .D46 2022

Dewey Class. No.: 531/.163

Distribution of statistical observables for anomalous and nonergodic diffusions :from statistics to mathematics /
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245 0 0 $a Distribution of statistical observables for anomalous and nonergodic diffusions : $b from statistics to mathematics / $c Weihua Deng ... [et al.].
250 $a 1st ed.
260 $a Boca Raton : $b CRC Press, Taylor & Francis Group, $c 2022.
300 $a xi, 227 p. : $b ill. ; $c 23 cm.
504 $a Includes bibliographical references and index.
505 0 $a Statistical observables -- Numerical methods for the governing equations of PDF of statistical observable -- Numerical methods for the stochastic governing equations of PDF of statistical observable.
520 $a "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 theirdynamics. 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 thisinterdisciplinary 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"-- $c Provided by publisher.
650 0 $a Density functionals. $3 208522
650 0 $a Diffusion processes. $3 186291
650 0 $a Ergodic theory. $3 219112
650 0 $a Statistical physics. $3 183716
650 0 $a Stochastic partial differential equations. $3 199002
650 0 $a Stochastic processes. $3 181874
700 1 $a Deng, Weihua, $e author. $3 913833
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