It takes the average reader 4 hours and 26 minutes to read Functional Distribution Of Anomalous And Nonergodic Diffusion: From Stochastic Processes To Pdes by Weihua Deng
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This volume presents a pedagogical review of the functional distribution of anomalous and nonergodic diffusion and its numerical simulations, starting from the studied stochastic processes to the deterministic partial differential equations governing the probability density function of the functionals. Since the remarkable theory of Brownian motion was proposed by Einstein in 1905, it had a sustained and broad impact on diverse fields, such as physics, chemistry, biology, economics, and mathematics. The functionals of Brownian motion are later widely attractive for their extensive applications. It was Kac, who firstly realized the statistical properties of these functionals can be studied by using Feynman's path integrals.In recent decades, anomalous and nonergodic diffusions which are non-Brownian become topical issues, such as fractional Brownian motion, Lévy process, Lévy walk, among others. This volume examines the statistical properties of the non-Brownian functionals, derives the governing equations of their distributions, and shows some algorithms for solving these equations numerically.
Functional Distribution Of Anomalous And Nonergodic Diffusion: From Stochastic Processes To Pdes by Weihua Deng is 258 pages long, and a total of 66,564 words.
This makes it 87% the length of the average book. It also has 81% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 6 hours and 3 minutes to read Functional Distribution Of Anomalous And Nonergodic Diffusion: From Stochastic Processes To Pdes aloud.
Functional Distribution Of Anomalous And Nonergodic Diffusion: From Stochastic Processes To Pdes is suitable for students ages 12 and up.
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