Ultrametric logarithm laws i

J. S. Athreya; Anish Ghosh; Amritanshu Prasad

doi:10.3934/dcdss.2009.2.337

Ultrametric logarithm laws i

J. S. Athreya, Anish Ghosh, Amritanshu Prasad

Research output: Contribution to journal › Article › peer-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 language	English (US)
Pages (from-to)	337-348
Number of pages	12
Journal	Discrete and Continuous Dynamical Systems - Series S
Volume	2
Issue number	2
DOIs	https://doi.org/10.3934/dcdss.2009.2.337
State	Published - Jun 2009
Externally published	Yes

Keywords

Diophantine approximation
Local fields
Logarithm laws
Shrinking target properties

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

Online availability

10.3934/dcdss.2009.2.337

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title = "Ultrametric logarithm laws i",

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KW - Local fields

KW - Logarithm laws

KW - Shrinking target properties

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Ultrametric logarithm laws i

Abstract

Keywords

ASJC Scopus subject areas

Online availability

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