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Modeling Anomalous Diffusion: From Statistics to Mathematics

by Deng Weihua

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Connecting statistical models and mathematical descriptions of anomalous diffusion

$103.05 USD
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AlbakiReads Editorial

Connecting statistical models and mathematical descriptions of anomalous diffusion

Weihua Deng’s book approaches anomalous diffusion through two levels of modeling: microscopic stochastic processes and macroscopic partial differential equations. It clarifies relationships between these frameworks, then uses them to examine statistical observables. Alongside the models and methods, the text includes applications and simulation results, giving the subject both a mathematical structure and examples of how that structure is used. The focus is on moving from statistical descriptions toward mathematical modeling, with material relevant across several quantitative sciences.

Good fit for readers who enjoy

  • Students developing foundational skills for research on anomalous diffusion or related mathematical models.
  • Mathematicians, physicists, and chemists seeking an account that connects stochastic processes with partial differential equations.
  • Readers interested in applications and simulation results alongside theoretical models.

Themes

Anomalous diffusionStochastic processesPartial differential equationsStatistical observablesModeling and simulation

Based on publisher information and book metadata.

Book overview

This book focuses on modeling the anomalous diffusion phenomena, being ubiquitous in the natural world. Both the microscopic models (stochastic processes) and macroscopic models (partial differential equations) have been built up. The relationships between the two kinds of models are clarified, and based on these models, some statistical observables are analyzed. From statistics to mathematics, the built models show their power with their associated applications.

This book is important for students to develop basic skills to be able to succeed in their future research. In addition to introducing the related models or methods, it also provides the corresponding applications and simulation results, which will attract more readers ranging from mathematicians to physicists or chemists, to name a few.

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