Results 11 to 20 of about 12,531,328 (281)

The Entropy Method in Large Deviation Theory

open access: yesCoRR, 2022
This paper illustrates the power of the entropy method in addressing problems from large deviation theory. We provide and review entropy proofs for most fundamental results in large deviation theory, including Cramer's theorem, the Gärtner--Ellis theorem, and Sanov's theorem.
Yu, Lei
openaire   +3 more sources

Large-deviation theory for diluted Wishart random matrices [PDF]

open access: yesPhysical Review E, 2018
Wishart random matrices with a sparse or diluted structure are ubiquitous in the processing of large datasets, with applications in physics, biology and economy. In this work we develop a theory for the eigenvalue fluctuations of diluted Wishart random matrices, based on the replica approach of disordered systems. We derive an analytical expression for
Castillo, Isaac Pérez   +1 more
core   +6 more sources

About universality of large deviation principles for conjugacy invariant permutations

open access: yes
We prove the universality of the large deviations for conjugacy invariant permutations with few cycles. As an application, we establish the universality of large deviation at speeds $n$ and $\sqrt{n}$ for the length of monotone subsequences in ...
Guionnet, Alice, Kammoun, Mohamed, Slim
core   +7 more sources

A reinforcement learning approach to rare trajectory sampling

open access: yesNew Journal of Physics, 2021
Very often when studying non-equilibrium systems one is interested in analysing dynamical behaviour that occurs with very low probability, so called rare events .
Dominic C Rose   +2 more
doaj   +1 more source

Typicality of the 2021 Western North America summer heatwave

open access: yesEnvironmental Research Letters, 2023
Elucidating the statistical properties of extreme meteo-climatic events and capturing the physical processes responsible for their occurrence are key steps for improving our understanding of climate variability and climate change and for better ...
Valerio Lucarini   +3 more
doaj   +1 more source

Exit problem of stochastic SIR model with limited medical resource

open access: yesTheoretical and Applied Mechanics Letters, 2023
Nonlinearity and randomness are both the essential attributes for the real world, and the case is the same for the models of infectious diseases, for which the deterministic models can not give a complete picture of the evolution. However, although there
Y.C. Mao, X.B. Liu
doaj   +1 more source

Large-Deviations Theory and Empirical Estimator Choice [PDF]

open access: yesEconometric Reviews, 2008
In this article, we consider the problem of criterion choice in information recovery and inference in a large-deviations (LD) context. Kitamura and Stutzer recognize that the Maximum Entropy Empirical Likelihood estimator can be given a LD justification (Kitamura and Stutzer, 2002).
Grendar, Marian, Judge, George G.
openaire   +4 more sources

Analysis of stochastic neutral fractional functional differential equations

open access: yesBoundary Value Problems, 2022
This work deals with the large deviation principle which studies the decay of probabilities of certain kind of extremely rare events. We consider stochastic neutral fractional functional differential equation with multiplicative noise and show large ...
Alagesan Siva Ranjani   +3 more
doaj   +1 more source

Fractal catastrophes

open access: yesNew Journal of Physics, 2020
We analyse the spatial inhomogeneities (‘spatial clustering’) in the distribution of particles accelerated by a force that changes randomly in space and time.
J Meibohm, K Gustavsson, J Bec, B Mehlig
doaj   +1 more source

Large Families in a Risk Society: from Normativity to Deviance

open access: yesВісник Харківського національного університету імені В.Н. Каразіна. Серія: Соціологічні дослідження сучасного суспільства: методологія, теорія, методи, 2022
The article examines the phenomenon of large families from the perspective of modernity, namely the transition of large families from the position of establishing social order, from the position of normativity to the position of deviation and the gradual
Dmitiy Sopilnyak
doaj   +1 more source

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