Rigidity of measures—The high entropy case and non-commuting foliations
Identifieur interne : 001168 ( Istex/Curation ); précédent : 001167; suivant : 001169Rigidity of measures—The high entropy case and non-commuting foliations
Auteurs : Manfred Einsiedler [États-Unis] ; Anatole Katok [États-Unis]Source :
- Israel Journal of Mathematics [ 0021-2172 ] ; 2005-12-01.
Abstract
Abstract: We consider invariant measures for partially hyperbolic, semisimple, higher rank actions on homogeneous spaces defined by products of real andp-adic Lie groups. In this paper we generalize our earlier work to establish measure rigidity in the high entropy case in that setting. We avoid any additional ergodicity-type assumptions but rely on, and extend the theory of conditional measures.
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DOI: 10.1007/BF02775436
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