2 citations · 7 across the 10 of their papers we have counts for
11 papers · 1 filter
On the original Ulam's problem and its quantization
Changguang Dong, Jing Zhou
In this paper we show that under general resonance the classical piecewise linear Fermi-Ulam accelerator behaves substantially different from its quantization in the sense that the…
Limit theorems for low dimensional generalized transformations
Dmitry Dolgopyat, Changguang Dong, Adam Kanigowski +1
We consider generalized transformations such that the base map satisfies a multiple mixing local limit theorem and anticoncentration large deviation bounds and in the…
On the ergodic properties of time changes of partially hyperbolic homogeneous flows
Changguang Dong
For any accessible partially hyperbolic homogeneous flow, we show that all smooth time changes are K and hence mixing of all orders. We also establish stable ergodicity for time-on…
Flexibility of statistical properties for smooth systems satisfying the central limit theorem
Dmitry Dolgopyat, Changguang Dong, Adam Kanigowski +1
In this paper we exhibit new classes of smooth systems which satisfy the Central Limit Theorem (CLT) and have (at least) one of the following properties: (1) zero entropy; (2) weak…
Mixing properties of generalized transformations
Dmitry Dolgopyat, Changguang Dong, Adam Kanigowski +1
We study mixing properties of generalized transformation. We discuss two mixing mechanisms. In the case the fiber dynamics is mixing, it is sufficient that the driving…
Bernoulli property for certain skew products over hyperbolic systems
Changguang Dong, Adam Kanigowski
We study the Bernoulli property for a class of partially hyperbolic systems arising from skew products. More precisely, we consider a hyperbolic map , where is a Gibbs…
Rigidity of joinings for some measure preserving systems
Changguang Dong, Adam Kanigowski, Daren Wei
We introduce two properties: strong R-property and -property, describing a special way of divergence of nearby trajectories for an abstract measure preserving system. We show…
Rigidity of a class of smooth singular flows on
Changguang Dong, Adam Kanigowski
We study joining rigidity in the class of von Neumann flows with one singularity. They are given by a smooth vector field on , where $\mat…
On density of infinite subsets II: dynamics on homogeneous spaces
Changguang Dong
Let be a noncompact semisimple Lie group, be an irreducible cocompact lattice in , and be a minimal parabolic subgroup. We consider the dynamics of acting on $…
On density of infinite subsets I
Changguang Dong
Let be a compact metric space, be a group acting by transformations on . For any infinite subset , we study the density of for and quantitative…
Slow entropy for abelian actions
Changguang Dong, Qiujie Qiao
We calculate slow entropy type invariant introduced by A. Katok and J.-P. Thouvenot in [5] for higher rank smooth abelian actions for two leading cases: when the invariant measure…