**A Basic Introduction to Large Deviations: Theory, Applications, Simulations**

by Hugo Touchette

**Publisher**: arXiv 2011**Number of pages**: 56

**Description**:

The theory of large deviations deals with the probabilities of rare events (or fluctuations) that are exponentially small as a function of some parameter, e.g., the number of random components of a system, the time over which a stochastic system is observed, the amplitude of the noise perturbing a dynamical system or the temperature of a chemical reaction.

Download or read it online for free here:

**Download link**

(1.4MB, PDF)

## Similar books

**Basics of Bose-Einstein Condensation**

by

**V.I. Yukalov**-

**arXiv**

The review is devoted to the elucidation of the basic problems arising in the theoretical investigation of systems with Bose-Einstein condensate. Understanding these problems is necessary for the correct description of Bose-condensed systems.

(

**7481**views)

**Evolution of Networks**

by

**S.N. Dorogovtsev, J.F.F. Mendes**-

**arXiv**

The authors review the recent fast progress in statistical physics of evolving networks. Interest has focused mainly on the structural properties of random complex networks in communications, biology, social sciences and economics.

(

**7316**views)

**Statistical Physics**

by

**David Tong**-

**University of Cambridge**

This is an introductory course on Statistical Mechanics and Thermodynamics given to final year undergraduates. Topics: Fundamentals of Statistical Mechanics; Classical Gases; Quantum Gases; Classical Thermodynamics; Phase Transitions.

(

**10228**views)

**Thermal and Statistical Physics**

by

**Harvey Gould, Jan Tobochnik**-

**Princeton University Press**

A text on two related subjects: thermodynamics and statistical mechanics. Computer simulations and numerical calculations are used in a variety of contexts. The book brings some of the recent advances in research into the undergraduate curriculum.

(

**14866**views)