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- Journal Article
We prove analogues of some of the classical results in homogeneous dynamics in nonlinear setting. Let G be a closed subgroup of the group of automorphisms of a biregular tree and Gamma <= G a discrete subgroup. For a large class of groups G, we give a classification of the probability measures on G/Gamma invariant under horospherical subgroups. When Gamma is a cocompact lattice, we show the unique ergodicity of the horospherical action. We prove Hedlund's theorem for geometrically finite quotients. Finally, we show equidistribution of large compact orbits. Show more
Journal / seriesInternational Mathematics Research Notices
Pages / Article No.
PublisherOXFORD UNIV PRESS
Organisational unit03826 - Einsiedler, Manfred L. / Einsiedler, Manfred L.
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