Nonconventional large deviations theorems

DOI10.1007/s00440-013-0481-4zbMath1333.60042arXiv1206.0156OpenAlexW2058943133MaRDI QIDQ2447285

Yuri Kifer, Srinivasa R. S. Varadhan

Publication date: 25 April 2014

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.0156

zbMATH Keywords

Markov processeslarge deviationsnonconventional averageshyperbolic diffeomorohisms

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Discrete-time Markov processes on general state spaces (60J05) Large deviations (60F10) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20)

Related Items (7)

Berry-Esseen type estimates for nonconventional sums ⋮ Nonlinear large deviations ⋮ Nonconventional moderate deviations theorems and exponential concentration inequalities ⋮ A local limit theorem for a number of multiple recurrences generated by some mixing processes with applications to Young towers ⋮ Almost sure convergence of the multiple ergodic average for certain weakly mixing systems ⋮ Tails of polynomials of random variables and stable limits for nonconventional sums ⋮ An introduction to large deviations for random graphs

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