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
Statistical Field Theory
by R R Horgan - University of Cambridge
These notes are concerned with the physics of phase transitions: the phenomenon that in particular environments, many systems exhibit singularities in the thermodynamic variables which best describe the macroscopic state of the system.
(10167 views)
by R R Horgan - University of Cambridge
These notes are concerned with the physics of phase transitions: the phenomenon that in particular environments, many systems exhibit singularities in the thermodynamic variables which best describe the macroscopic state of the system.
(10167 views)
Phase Transitions and Collective Phenomena
by Ben Simons - University of Cambridge
Contents -- Preface; Chapter 1: Critical Phenomena; Chapter 2: Ginzburg-Landau Theory; Chapter 3: Scaling Theory; Chapter 4: Renormalisation Group; Chapter 5: Topological Phase Transitions; Chapter 6: Functional Methods in Quantum Mechanics.
(8717 views)
by Ben Simons - University of Cambridge
Contents -- Preface; Chapter 1: Critical Phenomena; Chapter 2: Ginzburg-Landau Theory; Chapter 3: Scaling Theory; Chapter 4: Renormalisation Group; Chapter 5: Topological Phase Transitions; Chapter 6: Functional Methods in Quantum Mechanics.
(8717 views)
Lecture Notes in Statistical Mechanics and Mesoscopics
by Doron Cohen - arXiv
These are notes for quantum and statistical mechanics courses. Topics covered: master equations; non-equilibrium processes; fluctuation theorems; linear response theory; adiabatic transport; the Kubo formalism; scattering approach to mesoscopics.
(8746 views)
by Doron Cohen - arXiv
These are notes for quantum and statistical mechanics courses. Topics covered: master equations; non-equilibrium processes; fluctuation theorems; linear response theory; adiabatic transport; the Kubo formalism; scattering approach to mesoscopics.
(8746 views)
Lecture Notes in Statistical Mechanics
by Igor Vilfan - The J. Stefan Institute
These lectures cover classical and quantum statistical mechanics with some emphasis on classical spin systems. The author gives also an introduction to Bose condensation and superfluidity but he does not discuss phenomena specific to Fermi particles.
(10569 views)
by Igor Vilfan - The J. Stefan Institute
These lectures cover classical and quantum statistical mechanics with some emphasis on classical spin systems. The author gives also an introduction to Bose condensation and superfluidity but he does not discuss phenomena specific to Fermi particles.
(10569 views)