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Diffusive Spreading in Nature, Technology and Society, Second Edition

Posted By: AvaxGenius
Diffusive Spreading in Nature, Technology and Society, Second Edition

Diffusive Spreading in Nature, Technology and Society, Second Edition by Armin Bunde, Jürgen Caro, Christian Chmelik, Jörg Kärger, Gero Vogl
English | EPUB (True) | 2023 | 518 Pages | ISBN : 303105945X | 108.4 MB

What do the movements of molecules and the migration of humans have in common? How does the functionality of our brain tissue resemble the flow of traffic in New York City? How can understanding the spread of ideas, rumors, and languages help us tackle the spread a pandemic? This book provides an illuminating look into these seemingly disparate topics by exploring and expertly communicating the fundamental laws that govern the spreading and diffusion of objects. A collection of leading scientists in disciplines as diverse as epidemiology, linguistics, mathematics, and physics discuss various spreading phenomena relevant to their own fields, revealing astonishing similarities and correlations between the objects of study—be they people, particles, or pandemics.

Diffusive Spreading in Nature, Technology and Society, Second Edition

Posted By: AvaxGenius
Diffusive Spreading in Nature, Technology and Society, Second Edition

Diffusive Spreading in Nature, Technology and Society, Second Edition by Armin Bunde, Jürgen Caro, Christian Chmelik, Jörg Kärger, Gero Vogl
English | PDF EPUB (True) | 2023 | 518 Pages | ISBN : 303105945X | 126.7 MB

What do the movements of molecules and the migration of humans have in common? How does the functionality of our brain tissue resemble the flow of traffic in New York City? How can understanding the spread of ideas, rumors, and languages help us tackle the spread a pandemic? This book provides an illuminating look into these seemingly disparate topics by exploring and expertly communicating the fundamental laws that govern the spreading and diffusion of objects. A collection of leading scientists in disciplines as diverse as epidemiology, linguistics, mathematics, and physics discuss various spreading phenomena relevant to their own fields, revealing astonishing similarities and correlations between the objects of study—be they people, particles, or pandemics.

Controlled Diffusion Processes

Posted By: AvaxGenius
Controlled Diffusion Processes

Controlled Diffusion Processes by Nicolai V. Krylov
English | PDF | 1980 | 314 Pages | ISBN : 3540709134 | 13.6 MB

Stochastic control theory is a relatively young branch of mathematics. The beginning of its intensive development falls in the late 1950s and early 1960s. ~urin~ that period an extensive literature appeared on optimal stochastic control using the quadratic performance criterion (see references in Wonham [76]). At the same time, Girsanov [25] and Howard [26] made the first steps in constructing a general theory, based on Bellman's technique of dynamic programming, developed by him somewhat earlier [4]. Two types of engineering problems engendered two different parts of stochastic control theory. Problems of the first type are associated with multistep decision making in discrete time, and are treated in the theory of discrete stochastic dynamic programming.

Stochastic Processes and Applications: Diffusion Processes, the Fokker-Planck and Langevin Equations

Posted By: AvaxGenius
Stochastic Processes and Applications: Diffusion Processes, the Fokker-Planck and Langevin Equations

Stochastic Processes and Applications: Diffusion Processes, the Fokker-Planck and Langevin Equations by Grigorios A. Pavliotis
English | EPUB | 2014 | 345 Pages | ISBN : 1493913220 | 4.38 MB

This book presents various results and techniques from the theory of stochastic processes that are useful in the study of stochastic problems in the natural sciences. The main focus is analytical methods, although numerical methods and statistical inference methodologies for studying diffusion processes are also presented. The goal is the development of techniques that are applicable to a wide variety of stochastic models that appear in physics, chemistry and other natural sciences. Applications such as stochastic resonance, Brownian motion in periodic potentials and Brownian motors are studied and the connection between diffusion processes and time-dependent statistical mechanics is elucidated.