Zobrazeno 1 - 10
of 49
pro vyhledávání: '"Nándori, Peter"'
We consider generalized $(T, T^{-1})$ transformations such that the base map satisfies a multiple mixing local limit theorem and anticoncentration large deviation bounds and in the fiber we have $\mathbb{R}^d$ actions with $d=1$ or $2$ which are expo
Externí odkaz:
http://arxiv.org/abs/2305.04246
Autor:
Nandori, Peter, Pirjol, Dan
Publikováno v:
Journal of Computational and Applied Mathematics 402 (2022) 113818
We study the numerical evaluation of several functions appearing in the small time expansion of the distribution of the time-integral of the geometric Brownian motion as well as its joint distribution with the terminal value of the underlying Brownia
Externí odkaz:
http://arxiv.org/abs/2209.09412
Autor:
Nándori, Péter, Teolis, Trevor
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 identify a set of abstract conditions which imply the local equilibrium of
Externí odkaz:
http://arxiv.org/abs/2008.01986
Autor:
Brown, Margaret, Nándori, Péter
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 called type D in the monograph of Chernov and Markarian. For a class of n
Externí odkaz:
http://arxiv.org/abs/2006.05231
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 but not strong mixing; (3) (polynomially) mixing but not $K$; (4) $K$
Externí odkaz:
http://arxiv.org/abs/2006.02191
We study mixing properties of generalized $T, T^{-1}$ transformation. We discuss two mixing mechanisms. In the case the fiber dynamics is mixing, it is sufficient that the driving cocycle is small with small probability. In the case the fiber dynamic
Externí odkaz:
http://arxiv.org/abs/2004.07298
We establish expansion of every order for the correlation function of sufficiently regular observables of $\mathbb Z^d$ extensions of some hyperbolic flows. Our examples include the $\mathbb Z^2$ periodic Lorentz gas and geodesic flows on abelian cov
Externí odkaz:
http://arxiv.org/abs/1908.11504
We consider the sums $T_N=\sum_{n=1}^N F(S_n)$ where $S_n$ is a random walk on $\mathbb Z^d$ and $F:\mathbb Z^d\to \mathbb R$ is a global observable, that is, a bounded function which admits an average value when averaged over large cubes. We show th
Externí odkaz:
http://arxiv.org/abs/1902.11071
Autor:
Dolgopyat, Dmitry, Nándori, Péter
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 enjoys mixing with respect to global observables, that is, the observables
Externí odkaz:
http://arxiv.org/abs/1812.01174
Autor:
Dolgopyat, Dmitry, Nándori, Péter
Publikováno v:
In Advances in Mathematics 3 December 2022 410 Part B
