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Probability and Stochastic Processes for Physicists
Engelsk
Bogcover for Probability and Stochastic Processes for Physicists af Nicola Cufaro Petroni, 9783030484101
Specifikationer
Sprog:
Engelsk
Sider:
373
ISBN-13:
9783030484101
Indbinding:
Paperback
ISBN-10:
3030484106
Udg. Dato:
26 jun 2021
Størrelse i cm:
23,5 x 15,5
Oplagsdato:
26 jun 2021
Forfatter(e):

Probability and Stochastic Processes for Physicists

Engelsk
Paperback 2021
Format:

Bog beskrivelse
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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Specifikationer
Sprog:
Engelsk
Sider:
373
ISBN-13:
9783030484101
Indbinding:
Paperback
ISBN-10:
3030484106
Udg. Dato:
26 jun 2021
Størrelse i cm:
23,5 x 15,5
Oplagsdato:
26 jun 2021
Forfatter(e):
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