Distribution results for lattices in SL(2,?
p
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| Authors: | François Ledrappier Mark Pollicott |
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| Institution: | (1) Department of Mathematics, University of Notre Dame, 255 Hurley Hall, Notre Dame, Indiana 46556-4618, USA;(2) Department of Mathematics, Warwick University, Coventry, CV4 7AL, ENGLAND |
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| Abstract: | In this paper we study the ergodic properties of the linear action of lattices Γ of SL(2,ℚp) on ℚp × ℚp and distribution results for orbits of Γ. Following Serre, one can define a “geodesic flow” for an associated tree (actually
associated to GL(2,ℚp)). 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. |
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| Keywords: | Equidistribution SL(2 ℚ p) symbolic dynamics |
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