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Local Limit Theorems for Moderate Deviations and Large Deviations

Dmitry Dolgopyat, Omri M. Sarig

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

We prove the local limit theorem in the regimes of moderate deviations and large deviations. In these cases the asymptotic behavior of (Formula presented) is determined by the Legendre transforms of the log-moment generating functions.

Original languageEnglish
Title of host publicationLecture Notes in Mathematics
PublisherSpringer Science and Business Media B.V.
Pages179-228
Number of pages50
DOIs
StatePublished - 2023

Publication series

NameLecture Notes in Mathematics
Volume2331

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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