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math.DS2020
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…
math.DS2020
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…
math.DS2020
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…