**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

**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.

(

**9312**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.

(

**12891**views)

**Lecture Notes on Thermodynamics and Statistical Mechanics**

by

**Daniel Arovas**-

**University of California, San Diego**

Contents: Probability 2. Thermodynamics 3. Ergodicity and the Approach to Equilibrium 4. Statistical Ensembles 5. Noninteracting Quantum Systems 6. Classical Interacting Systems 7. Mean Field Theory of Phase Transitions 8. Nonequilibrium Phenomena.

(

**11205**views)

**Study notes for Statistical Physics**

by

**W. David McComb**-

**Bookboon**

This is an academic textbook in three parts, intended for a one-semester course in statistical physics at honours BSc level. Throughout the book, the emphasis is on a clear, concise exposition, with all steps being clearly explained.

(

**6830**views)