22 citations · 41 across the 11 of their papers we have counts for
11 papers
Local equilibrium in planar non interacting particle systems
Péter Nándori, Trevor Teolis
Particles are injected to a large planar rectangle through the boundary. Assuming that the particles move independently from one another and the boundary is also absorbing, we iden…
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…
Global observables for random walks: law of large numbers
Dmitry Dolgopyat, Marco Lenci, Péter Nándori
We consider the sums where is a random walk on and is a global observable, that is, a bounded function wh…
Infinite measure mixing for some mechanical systems
Dmitry Dolgopyat, Péter Nándori
We show that if an infinite measure preserving system is well approximated on most of the phase space by a system satisfying the local limit theorem, then the original system enjoy…
On mixing and the local central limit theorem for hyperbolic flows
Dmitry Dolgopyat, Péter Nándori
We formulate abstract conditions under which a suspension flow satisfies the local central limit theorem. We check the validity of these conditions for several systems including re…
Infinite measure renewal theorem and related results
Dmitry Dolgopyat, Péter Nándori
We present abstract conditions under which a special flow over a probability preserving map with a non-integrable roof function is Krickeberg mixing. Our main condition is some ver…
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…
Logarithmic scaling of planar random walk's local times
Péter Nándori, Zeyu Shen
We prove that the local time process of a planar simple random walk, when time is scaled logarithmically, converges to a non-degenerate pure jump process. The convergence takes pla…