6 citations · 13 across the 6 of their papers we have counts for
14 papers
Bounded diagonal orbits in homogeneous spaces over function fields
Qianlin Huang, Ronggang Shi
This paper is about topological rigidity of diagonal group actions on the homogeneous $\SL_4\big(\F(\!(t^{-1})\!)\big)/\SL_4(\F[t])$ where $\F$ is a finite field of characteristic…
The Product of linear forms over function fields
Wenyu Guo, Xuan Liu, Ronggang Shi
The aim of this paper is to study the product of linear forms over function fields. We calculate the maximum value of the minima of the forms with determinant one when is s…
Expanding measures: Random walks and rigidity on homogeneous spaces
Roland Prohaska, Cagri Sert, Ronggang Shi
Let be a real Lie group, a lattice and a connected semisimple subgroup without compact factors and with finite center. We define the notion of -expanding measure…
Divergent trajectories on products of homogeneous spaces
Jinpeng An, Lifan Guan, Antoine Marnat +1
In this paper, we determine the Hausdorff dimension of the set of points with divergent trajectories on the product of certain homogeneous spaces. The flow is allowed to be weighte…
Quantitative Multiple pointwise convergence and effective multiple correlations
Rene Rühr, Ronggang Shi
We show that effective -multiple correlations imply quantitative -multiple pointwise ergodic theorems. The result has a wide class of applications which include subgro…
Metric Diophantine approximation with congruence conditions
Erez Nesharim, Rene Rühr, Ronggang Shi
We prove a version of the Khinchine--Groshev theorem for Diophantine approximation of matrices subject to a congruence condition. The proof relies on an extension of the Dani corre…