Kniha Probability and Stochastic Processes for Physicists Nicola Cufaro Petroni

Probability and Stochastic Processes for Physicists

Jazyk: Angličtina
Vazba: Pevná
Dostupnost: Skladem u dodavatele
Odesíláme za 10-13 dnů
2 012
This book seeks to bridge the gap between the parlance, the models, and even the notations used by p...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Pevná
Vydáno
2020
Stránek
373
EAN
9783030484071
Enbook ID
32622256
Hmotnost
746
Rozměry
155 x 235 x 27

Kompletní popis

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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