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Probability and Stochastic Processes for Physicists
Af: Nicola Cufaro Petroni Engelsk Paperback
SPAR
kr 134
Probability and Stochastic Processes for Physicists
Af: Nicola Cufaro Petroni Engelsk Paperback
This book seeks to bridge the gap between the parlance, the models, and even the notations used by physicists and those used by mathematicians when it comes to the topic of probability and stochastic processes. The opening four chapters elucidate the basic concepts of probability, including probability spaces and measures, random variables, and limit theorems. Here, the focus is mainly on models and ideas rather than the mathematical tools. The discussion of limit theorems serves as a gateway to extensive coverage of the theory of stochastic processes, including, for example, stationarity and ergodicity, Poisson and Wiener processes and their trajectories, other Markov processes, jump-diffusion processes, stochastic calculus, and stochastic differential equations. All these conceptual tools then converge in a dynamical theory of Brownian motion that compares the Einstein-Smoluchowski and Ornstein-Uhlenbeck approaches, highlighting the most important ideas that finally led to a connection between the Schrödinger equation and diffusion processes along the lines of Nelson''s stochastic mechanics. A series of appendices cover particular details and calculations, and offer concise treatments of particular thought-provoking topics.
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This book seeks to bridge the gap between the parlance, the models, and even the notations used by physicists and those used by mathematicians when it comes to the topic of probability and stochastic processes. The opening four chapters elucidate the basic concepts of probability, including probability spaces and measures, random variables, and limit theorems. Here, the focus is mainly on models and ideas rather than the mathematical tools. The discussion of limit theorems serves as a gateway to extensive coverage of the theory of stochastic processes, including, for example, stationarity and ergodicity, Poisson and Wiener processes and their trajectories, other Markov processes, jump-diffusion processes, stochastic calculus, and stochastic differential equations. All these conceptual tools then converge in a dynamical theory of Brownian motion that compares the Einstein-Smoluchowski and Ornstein-Uhlenbeck approaches, highlighting the most important ideas that finally led to a connection between the Schrödinger equation and diffusion processes along the lines of Nelson''s stochastic mechanics. A series of appendices cover particular details and calculations, and offer concise treatments of particular thought-provoking topics.
Produktdetaljer
Sprog: Engelsk
Sider: 373
ISBN-13: 9783030484101
Indbinding: Paperback
Udgave:
ISBN-10: 3030484106
Udg. Dato: 26 jun 2021
Længde: 0mm
Bredde: 235mm
Højde: 155mm
Oplagsdato: 26 jun 2021
Forfatter(e): Nicola Cufaro Petroni
Forfatter(e) Nicola Cufaro Petroni


Kategori Ikke-lineær videnskab


Sprog Engelsk


Indbinding Paperback


Sider 373


Udgave


Længde 0mm


Bredde 235mm


Højde 155mm


Udg. Dato 26 jun 2021


Oplagsdato 26 jun 2021

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