Analytic proof of multivariate stable local large deviations and application to deterministic dynamical systems

DOI10.1214/22-EJP750zbMath1486.60053arXiv2009.02514OpenAlexW3184648542MaRDI QIDQ2119671

Ian Melbourne, Dalia Terhesiu

Publication date: 30 March 2022

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.02514

zbMATH Keywords

multivariate stable lawslocal large deviations

Mathematics Subject Classification ID

Large deviations (60F10) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20)

Cites Work

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• Ergodic Theory for Markov Fibred Systems and Parabolic Rational Maps
• Ergodic structure and invariant densities of non-Markovian interval maps with indifferent fixed points
• LOCAL LIMIT THEOREMS FOR PARTIAL SUMS OF STATIONARY SEQUENCES GENERATED BY GIBBS–MARKOV MAPS
• A Local Limit Theorem for Nonlattice Multi-Dimensional Distribution Functions
• Strong Renewal Theorems with Infinite Mean
• APERIODICITY OF COCYCLES AND CONDITIONAL LOCAL LIMIT THEOREMS

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