Ronggang Shi

activity

20092025

most citedHausdorff dimension of divergent trajectories on homogeneous space

9 citations · 33 across the 15 of their papers we have counts for

collaborators

Showing 2015 · math.DSShow all

3 papers · 2 filters

math.DS2015★ 6 cited

Expanding cone and applications to homogeneous dynamics

Ronggang Shi

Let $U$ be a horospherical subgroup of a noncompact simple Lie group $H$ and let $A$ be a maximal split torus in the normalizer of $U$ . We define the expanding cone $A_{U}^{+}$ in $A$ …

math.DS2015

Genericity on curves and applications: pseudo-integrable billiards, Eaton lenses and gap distributions

Krzysztof Frączek, Ronggang Shi, Corinna Ulcigrai

In this paper we prove results on Birkhoff and Oseledets genericity along certain curves in the space of affine lattices and in moduli spaces of translation surfaces. We also prove…

math.DS2015

Pointwise equidistribution with an error rate and with respect to unbounded functions

Dmitry Kleinbock, Ronggang Shi, Barak Weiss

Consider $G=\SL_{ d }(\mathbb R)$ and $ Γ=\SL_{ d }(\mathbb Z)$. It was recently shown by the second-named author \cite{s} that for some diagonal subgroups ${g_{t}} \subset G$ and u…