printable pdf
比利时vs摩洛哥足彩 ,
university of california san diego

****************************

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

****************************