Ultrametric logarithm laws i

J. S. Athreya, Anish Ghosh, Amritanshu Prasad

Research output: Contribution to journalArticlepeer-review

Abstract

We announce ultrametric analogues of the results of KleinbockMargulis for shrinking target properties of semisimple group actions on symmetric spaces. The main applications are S-arithmetic Diophantine approximation results and logarithm laws for buildings, generalizing the work of Hersonsky-Paulin on trees.

Original languageEnglish (US)
Pages (from-to)337-348
Number of pages12
JournalDiscrete and Continuous Dynamical Systems - Series S
Volume2
Issue number2
DOIs
StatePublished - Jun 2009

Keywords

  • Diophantine approximation
  • Local fields
  • Logarithm laws
  • Shrinking target properties

ASJC Scopus subject areas

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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