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arXiv · 1612.00909

Exponential Mixing of Frame Flow for Convex Cocompact Hyperbolic Manifolds

Dale Winter
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Abstract

The aim of this paper is to establish exponential mixing of frame flow for the measure of maximal entropy on a convex cocompact hyperbolic manifold. Consequences include results on the decay of matrix coefficients and on effective equidistribution of holonomies. The main technical point is a spectral bound on certain twisted transfer operators, which we obtain by building on Dolgopyat's framework. This extends and strengthens earlier work of Dolgopyat, Stoyanov, Pollicott, and others.

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Dale Winter. 2016-12-03. Exponential Mixing of Frame Flow for Convex Cocompact Hyperbolic Manifolds. https://arxiv.org/abs/1612.00909

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