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- W2125346498 abstract "We prove an equidistribution theorem a la Bader-Muchnik for operator-valued measures associated with boundary representations in the context of discrete groups of isometries of CAT(-1) spaces thanks to an equidistribution theorem of T. Roblin. This result can be viewed as a generalization of Birkhoff's ergodic theorem for quasi invariant measures. In particular, this approach gives a dynamical proof of the fact that boundary representations are irreducible. Moreover, we prove some equidistribution results for conformal densities using elementary techniques from harmonic analysis." @default.
- W2125346498 created "2016-06-24" @default.
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- W2125346498 date "2014-12-28" @default.
- W2125346498 modified "2023-09-27" @default.
- W2125346498 title "Equidistribution, ergodicity and irreducibility in CAT(-1) spaces" @default.
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