Keyword

large deviations

Description: Large deviations are rare, substantial departures from typical behavior, studied mathematically through probability theory and asymptotic analysis.

Primary topic: Stochastic processes and statistical mechanics (24%)

Wikidata ID: wiki/Q3403615

OpenAlex ID: keywords/large-deviations

Turbulence

1995 · Uriel Frisch · Cambridge University Press eBooks · 5,051

Large Deviations Techniques and Applications

2000 · Uwe Schmock, Amir Dembo, et al. · Journal of the American Statistical Association · 3,524

Large Deviations Techniques and Applications

1998 · Amir Dembo, Ofer Zeitouni · Springer eBooks · 3,178

Foundations of Modern Probability

2021 · Olav Kallenberg · Probability theory and stochastic modelling · 2,832

Controlled Markov Processes and Viscosity Solutions

2005 · Fleming, Wendell Helms 1928-2023, Soner, H. Mete · 2,699

The large deviation approach to statistical mechanics

2009 · Hugo Touchette · Physics Reports · 1,982

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Probability and Random Processes

2001 · Geoffrey R Grimmett, David R Stirzaker · 1,849

Sums of independent random variables

1988 · T. W. Körner · Cambridge University Press eBooks · 1,754

Dirichlet Forms and Symmetric Markov Processes

2010 · Masatoshi Fukushima, Yoichi Oshima, et al. · De Gruyter eBooks · 1,639

Gibbs Measures and Phase Transitions

2011 · Hans-Otto Georgii · De Gruyter eBooks · 1,376

Topics in propagation of chaos

1991 · Alain-Sol Sznitman · Lecture notes in mathematics · 1,358

An Introduction to Random Matrices

2009 · Greg W. Anderson, Alice Guionnet, et al. · Cambridge University Press eBooks · 1,317

Scaling Limits of Interacting Particle Systems

1999 · Claude Kipnis, Claudio Landim · Grundlehren der mathematischen Wissenschaften · 1,269

Entropy, Large Deviations, and Statistical Mechanics

1985 · Richard S. Ellis · Grundlehren der mathematischen Wissenschaften · 1,198

Entropy, Large Deviations, and Statistical Mechanics

2006 · Richard S. Ellis · Classics in mathematics · 1,134

Large deviations

1989 · Jean-Dominique Deuschel · 1,099

Large Deviations Techniques and Applications

2009 · Amir Dembo, Ofer Zeitouni · Applications of mathematics · 1,061

Turbulence. The legacy of A.N. Kolmogorov

1995 · U. Frisch · CERN Document Server (European Organization for Nuclear Research) · 1,001

Statistical mechanics and dynamics of solvable models with long-range interactions

2009 · Alessandro Campa, Thierry Dauxois, et al. · Physics Reports · 972

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1 User-friendly Tail Bounds for Sums of Random Matrices

2010 · Joel A. Tropp · 931

Probability

1996 · A. N. Shiryaev · Graduate texts in mathematics · 834

Non-equilibrium steady states: fluctuations and large deviations of the density and of the current

2007 · Bernard Derrida · Journal of Statistical Mechanics Theory and Experiment · 801

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A Weak Convergence Approach to the Theory of Large Deviations

1998 · James Lynch, Paul Dupuis, et al. · Journal of the American Statistical Association · 762

Fluctuation–dissipation: Response theory in statistical physics

2008 · U MARCONI, A PUGLISI, et al. · Physics Reports · 751

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Large Deviations and Applications

2012 · SpringerReference · 736

Works count: 13,860

Citation count: 209,900