Shahriar Mirzadeh

activity

20172023

most citedExceptional directions for the Teichmüller geodesic flow and Hausdorff dimension

13 citations · 13 across the 4 of their papers we have counts for

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2 papers · 2 filters

math.DS2017★ 13 cited

Exceptional directions for the Teichmüller geodesic flow and Hausdorff dimension

Hamid Al-Saqban, Paul Apisa, Alena Erchenko +3

We prove that for every flat surface $ω$ , the Hausdorff dimension of the set of directions in which Teichmüller geodesics starting from $ω$ exhibit a definite amount of deviation f…

math.DS2017

Dimension estimates for the set of points with non-dense orbit in homogeneous spaces

Dmitry Kleinbock, Shahriar Mirzadeh

Let $X = G /Γ$ , where $G$ is a Lie group and $Γ$ is a lattice in $G$ , and let $U$ be a subset of $X$ whose complement is compact. We use the exponential mixing results for diagonali…