Variance Growth, Center-Tightness, and the Central Limit Theorem

Dmitry Dolgopyat, Omri M. Sarig

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


We analyze the variance of (formula presented) and characterize the additive functionals for which Var (formula presented). Then we prove Dobrushin’s theorem: If Var (formula presented) satisfies the central limit theorem.

Original languageEnglish
Title of host publicationLecture Notes in Mathematics
PublisherSpringer Science and Business Media B.V.
Number of pages37
StatePublished - 2023

Publication series

NameLecture Notes in Mathematics

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory


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