Logarithm laws and shrinking target properties

J. S. Athreya

Research output: Contribution to journalArticlepeer-review

Abstract

We survey some of the recent developments in the study of logarithm laws and shrinking target properties for various families of dynamical systems. We discuss connections to geometry, diophantine approximation and probability theory.

Original languageEnglish (US)
Pages (from-to)541-557
Number of pages17
JournalProceedings of the Indian Academy of Sciences: Mathematical Sciences
Volume119
Issue number4
DOIs
StatePublished - Sep 2009
Externally publishedYes

Keywords

  • Diophantine approximation
  • Logarithm laws
  • Shrinking target properties

ASJC Scopus subject areas

  • General Mathematics

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