Spectral gap and exponential mixing on geometrically finite hyperbolic manifolds
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DOI: 10.1215/00127094-2021-0051
Abstract: Let $\mathcal{M}=\Gamma\backslash\mathbb{H}^{d+1}$ be a geometrically finite hyperbolic manifold with critical exponent exceeding $d/2$. We obtain a precise asymptotic expansion of the matrix coefficients for the geodesic flow in $L^2(\mathrm{T}^1(\mathcal{M}))$, with exponential error term essentially as… read more here.
Keywords: geometrically finite; finite hyperbolic; exponential mixing; spectral gap ... See more keywords