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

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Showing 2011 · math.DSShow all

2 papers · 2 filters

math.DS2011

S-adic version of Minkowski's geometry of numbers and Mahler's compactness criterion

Dmitry Kleinbock, Ronggang Shi, George Tomanov

In this note we give a detailed proof of certain results on geometry of numbers in the $S$ -adic case. These results are well-known to experts, so the aim here is to provide a conve…

math.DS2011

Convergence of measures under diagonal actions on homogeneous spaces

Ronggang Shi

Let $λ$ be a probability measure on $T^{n - 1}$ where $n = 2$ or 3. Suppose $λ$ is invariant, ergodic and has positive entropy with respect to the linear transformation defined…