The Local Limit Theorem in the Reducible Case

Dmitry Dolgopyat, Omri M. Sarig

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

Abstract

We prove the local limit theorem for (formula presented) converges to a finite limit and f is reducible. In the reducible case, the asymptotic behavior of (formula presented) is not universal, and it depends on (formula presented). The dependence is strong for small intervals, and weak for large intervals.

Original languageEnglish
Title of host publicationLecture Notes in Mathematics
PublisherSpringer Science and Business Media B.V.
Pages137-178
Number of pages42
DOIs
StatePublished - 2023

Publication series

NameLecture Notes in Mathematics
Volume2331

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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