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Titlebook: Handbook of Dynamics and Probability; Peter Müller Book 2022 The Editor(s) (if applicable) and The Author(s), under exclusive license to S

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发表于 2025-3-21 17:28:35 | 显示全部楼层 |阅读模式
书目名称Handbook of Dynamics and Probability
编辑Peter Müller
视频video
概述Presents unified treatment of dynamical systems and probability theory, all in one place.Stresses the inherent assumptions in applying these abstract theories to the analysis of real-world systems.Inc
图书封面Titlebook: Handbook of Dynamics and Probability;  Peter Müller Book 2022 The Editor(s) (if applicable) and The Author(s), under exclusive license to S
描述.Our time is characterized by an explosive growth in the use of ever more complicated and sophisticated (computer) models. These models rely on dynamical systems theory for the interpretation of their results and on probability theory for the quantification of their uncertainties. A conscientious and intelligent use of these models requires that both these theories are properly understood...This book is to provide such understanding. It gives a unifying treatment of dynamical systems theory and probability theory. It covers the basic concepts and statements of these theories, their interrelations, and their applications to scientific reasoning and physics. The book stresses the underlying concepts and mathematical structures but is written in a simple and illuminating manner without sacrificing too much mathematical rigor...The book is aimed at students, post-docs, and researchers in the applied sciences who aspire to better understand the conceptual and mathematical underpinnings of the models that they use. Despite the peculiarities of any applied science, dynamics and probability are the common and indispensable tools in any modeling effort. The book is self-contained, with many
出版日期Book 2022
关键词Dynamics; Probability; Stochastic processes; Bayesian inference; Ergodicity
版次1
doihttps://doi.org/10.1007/978-3-030-88486-4
isbn_softcover978-3-030-88488-8
isbn_ebook978-3-030-88486-4
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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Probability Theoryf random variables can also be used to . probability distributions. One example is the central limit theorem which establishes the importance of the Gaussian distribution. Another example are the generalized extreme value distributions.
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Linear and Integrable Systems space. The prime example of a linear dynamical system is the time evolution of a quantum mechanical system according to the Schrödinger equation. Linear algebra provides powerful tools for the analysis of linear operators and hence of linear systems.
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Information Entropyion theory. More recent references are Mackey (.) and Cover and Thomas (.). Information theory studies sequences of letters or symbols from a finite alphabet. It presumes that a source produces these letters with a given probability distribution and then studies how information is degraded when storing, processing, or transmitting data.
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Civil Society: Democratised Relationships,odel. Given a probability model that is characterized by a set of parameters, statistical inference addresses two main problems: the estimation of parameters and the testing of hypotheses about these parameters.
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