比利时vs摩洛哥足彩
,
university of california san diego
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postdoc seminar
dr. pratyush sarkar
ucsd
exponential mixing of frame flows for geometrically finite hyperbolic manifolds
abstract:
let $\gamma < g = \operatorname{so}(n, 1)^\circ$ be a zariski dense torsion-free discrete subgroup for $n \geq 2$. then the frame bundle of the hyperbolic manifold $x = \gamma \backslash \mathbb{h}^n$ is the homogeneous space $\gamma \backslash g$ and the frame flow is given by the right translation action by a one-parameter diagonalizable subgroup of $g$. suppose $x$ is geometrically finite, i.e., it need not be compact but has at most finitely many ends consisting of cusps and funnels. endow $\gamma \backslash g$ with the unique probability measure of maximal entropy called the bowen-margulis-sullivan measure. in a joint work with jialun li and wenyu pan, we prove that the frame flow is exponentially mixing.
may 4, 2023
3:00 pm
apm 5829
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