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Titlebook: Random Walk and Diffusion Models; An Introduction for Wolf Schwarz Textbook 2022 Springer Nature Switzerland AG 2022 Correlated random wal

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发表于 2025-3-21 18:02:48 | 显示全部楼层 |阅读模式
书目名称Random Walk and Diffusion Models
副标题An Introduction for
编辑Wolf Schwarz
视频video
概述Provides an accessible introduction to random walk and diffusion models.Gives detailed examples from animal studies, sports science, public health, and human decision making.Aims the exposition at a l
图书封面Titlebook: Random Walk and Diffusion Models; An Introduction for  Wolf Schwarz Textbook 2022 Springer Nature Switzerland AG 2022 Correlated random wal
描述.This book offers an accessible introduction to random walk and diffusion models at a level consistent with the typical background of students in the life sciences. In recent decades these models have become widely used in areas far beyond their traditional origins in physics, for example, in studies of animal behavior, ecology, sociology, sports science, population genetics, public health applications, and human decision making.  Developing the main formal concepts, the book provides detailed and intuitive step-by-step explanations, and moves smoothly from simple to more complex models. Finally, in the last chapter, some successful and original applications of random walk and diffusion models in the life and behavioral sciences are illustrated in detail. The treatment of basic techniques and models is consolidated and extended throughout by a set of carefully chosen exercises. .. .
出版日期Textbook 2022
关键词Correlated random walk; Diffusion equation; first hitting time models; speed-accuracy trade-off; moment-
版次1
doihttps://doi.org/10.1007/978-3-031-12100-5
isbn_softcover978-3-031-12102-9
isbn_ebook978-3-031-12100-5
copyrightSpringer Nature Switzerland AG 2022
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health, and human decision making.Aims the exposition at a l.This book offers an accessible introduction to random walk and diffusion models at a level consistent with the typical background of students in the life sciences. In recent decades these models have become widely used in areas far beyond
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Discrete Random Walks,nent, we show how to derive in an elementary manner basic quantities such as absorption probabilities and (conditional) mean first-passage times, and we explain the role of generating functions in that context. We then show how these analyses generalize to more complex processes such as correlated r
发表于 2025-3-22 09:35:56 | 显示全部楼层
Small Steps at High Speed: The Diffusion Limit, discrete eventually tend to diffusion processes which are continuous in time and space. This continuous framework permits us to cover, in a streamlined manner, processes that are more general than simple random walks. We indicate how the continuous treatment leads more directly to information about
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More General Diffusion Processes,ies. In some contexts, these assumptions can be too restrictive, and then more flexible models incorporating possibly state-dependent drift or variance terms are more suitable. We describe the conceptual extensions needed to this end and present formal techniques to deal with this more general situa
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