5 papers · 1 filter
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…
Statistical properties of type D dispersing billiards
Margaret Brown, Péter Nándori
We consider dispersing billiard tables whose boundary is piecewise smooth and the free flight function is unbounded. We also assume there are no cusps. Such billiard tables are cal…
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…
Asymptotic expansion of correlation functions for covers of hyperbolic flows
Dmitry Dolgopyat, Péter Nándori, Françoise Pène
We establish expansion of every order for the correlation function of sufficiently regular observables of extensions of some hyperbolic flows. Our examples include th…
The first encounter of two billiard particles of small radius
Dmitry Dolgopyat, Péter Nándori
We prove that the time of the first collision between two particles in a Sinai billiard table converges weakly to an exponential distribution when time is rescaled by the inverse o…