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- 000 02782cam a2200409 i 4500
- 008 211224s2022 flua b 001 0 eng
- 020 __ |a 9781032245218 |q (hardback)
- 020 __ |a 9781032245232 |q (paperback)
- 020 __ |z 9781003279099 |q (ebook)
- 040 __ |a LBSOR/DLC |b eng |c DLC |e rda |d DLC
- 050 00 |a QA274.75 |b .D46 2022
- 082 00 |a 531/.163 |2 23/eng/20220118
- 100 1_ |a Deng, Weihua, |e author.
- 245 10 |a Distribution of statistical observables for anomalous and nonergodic diffusions : |b from statistics to mathematics / |c Weihua Deng, Xudong Wang, Daxin Nie, Xing Liu.
- 260 __ |a Boca Raton : |b CRC Press, Taylor & Francis Group, |c 2022.
- 300 __ |a xi, 226 pages : |b illustrations ; |c 23 cm
- 336 __ |a text |b txt |2 rdacontent
- 337 __ |a unmediated |b n |2 rdamedia
- 338 __ |a volume |b nc |2 rdacarrier
- 504 __ |a Includes bibliographical references and index.
- 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 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"-- |c Provided by publisher.
- 650 _0 |a Diffusion processes.
- 650 _0 |a Ergodic theory.
- 650 _0 |a Stochastic partial differential equations.
- 650 _0 |a Stochastic processes.
- 650 _0 |a Density functionals.
- 650 _0 |a Statistical physics.
- 700 1_ |a Wang, Xudong, |d 1992- |e author.
- 700 1_ |a Nie, Daxin, |d 1993- |e author.
- 700 1_ |a Liu, Xing, |d 1987- |e author.