8 citations · 26 across the 11 of their papers we have counts for
11 papers · 1 filter
An Efficient Symbolic Algorithm for Computing Lyapunov Constants in Planar Switching Systems
Cheng Zheng, Laigang Guo, Xiangyu Wang
Lyapunov constants are a crucial tool for analyzing bifurcation behavior in switching systems. This paper proposes an efficient algebraic symbolic algorithm for computing Lyapunov…
A Criterion for Equidistribution along the Function over Polynomial Sequences with Applications
Zhi Qi, Cheng Zheng
Let be a certain fixed homogeneous polynomial of integral coefficients. In this paper, we establish a quantitative equidistribution criterion for the ergodic av…
Topological rigidity of closures of certain sparse unipotent orbits in finite-volume quotients of
Cheng Zheng
We give a simple proof about the topological rigidity of closures of certain sparse unipotent orbits in where and is an ir…
A shrinking target problem in homogeneous spaces of semisimple algebraic groups
Cheng Zheng
In this paper, we study a shrinking target problem with target at infinity in a homogeneous space of a semisimple algebraic group from the representation-theoretic point of view. L…
A shrinking-target problem in the space of unimodular lattices in the three dimensional Euclidean space
Reynold Fregoli, Cheng Zheng
In this paper, we study the shrinking-target problem with target at infinity induced by the injectivity radius function under the action of a regular diagonalizable flow on $\opera…
On the density of some sparse horocycles
Cheng Zheng
Let be a non-uniform lattice in . In this note, we show that there exists a constant such that for any , any one-parametrer un…
Translates of S-arithmetic orbits and applications
Uri Shapira, Cheng Zheng
We prove that certain sequences of periodic orbits of the diagonal group in the space of lattices equidistribute. As an application we obtain new information regarding the sequence…
Limiting Distributions of Translates of Divergent Diagonal Orbits
Uri Shapira, Cheng Zheng
We define a natural topology on the collection of (equivalence classes up to scaling of) locally finite measures on a homogeneous space and prove that in this topology, pushforward…
A Shrinking Target Problem with Target at Infinity in Rank One Homogeneous Spaces
Cheng Zheng
In this paper, we give a definition of Diophantine points of type for in a homogeneous space , and compute the Hausdorff dimension of the subset of points which a…
Sparse Equidistribution of Unipotent Orbits in Finite-Volume Quotients of , with appendices
Cheng Zheng
In this note, we consider the orbits in , where is a non-uniform lattice in and $u…
Non-Divergence of Unipotent Flows on Quotients of Rank One Semisimple Groups
C. Davis Buenger, Cheng Zheng
Let be a semisimple Lie group of rank and be a torsion free discrete subgroup of . We show that in , given , any trajectory of a unipotent flow remains in…