Skip to main content
SpringerLink
Log in

Distribution results for lattices in SL(2,ℚ p )

  • Published:
Bulletin of the Brazilian Mathematical Society Aims and scope Submit manuscript

Abstract.

In this paper we study the ergodic properties of the linear action of lattices Γ of SL(2,ℚ p ) on ℚ p × ℚ p and distribution results for orbits of Γ. Following Serre, one can define a “geodesic flow” for an associated tree (actually associated to GL(2,ℚ p )). The approach we use is based on an extension of this approach to “frame flows” which are a natural compact group extension of the geodesic flow.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Notre Dame, 255 Hurley Hall, Notre Dame, Indiana, 46556-4618, USA

    François Ledrappier

  2. Department of Mathematics, Warwick University, Coventry, CV4 7AL, ENGLAND

    Mark Pollicott

Authors
  1. François Ledrappier
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Mark Pollicott
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to François Ledrappier.

About this article

Cite this article

Ledrappier, F., Pollicott, M. Distribution results for lattices in SL(2,ℚ p ). Bull Braz Math Soc, New Series 36, 143–176 (2005). https://doi.org/10.1007/s00574-005-0033-3

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00574-005-0033-3

Keywords:

Mathematical subject classification:

Search

Navigation