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.

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