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• W2783198304 abstract "For a pinched Hadamard manifold X and a discrete group of isometries Γ of X, the critical exponent δΓ is the exponential growth rate of the orbit of a point in X under the action of Γ. We show that the critical exponent for any family N of normal subgroups of Γ0 has the same coarse behaviour as the Kazhdan distances for the right regular representations of the quotients Γ0/Γ. The key tool is to analyse the spectrum of transfer operators associated to subshifts of finite type, for which we obtain a result of independent interest." @default.
• W2783198304 created "2018-01-26" @default.
• W2783198304 creator A5040785899 @default.
• W2783198304 date "2019-06-01" @default.
• W2783198304 modified "2023-09-29" @default.
• W2783198304 title "Critical exponents of normal subgroups, the spectrum of group extended transfer operators, and Kazhdan distance" @default.
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• W2783198304 doi "https://doi.org/10.1016/j.aim.2019.04.016" @default.
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