P'eter N'andori

activity

20162020

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Showing 2019Show all

2 papers · 1 filter

math.DS2019

Asymptotic expansion of correlation functions for $Z^{d}$ 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 $Z^{d}$ extensions of some hyperbolic flows. Our examples include th…

math.PR2019

Global observables for random walks: law of large numbers

Dmitry Dolgopyat, Marco Lenci, Péter Nándori

We consider the sums $T_{N} = \sum_{n = 1}^{N} F (S_{n})$ where $S_{n}$ is a random walk on $Z^{d}$ and $F : Z^{d} \to R$ is a global observable, that is, a bounded function wh…

Asymptotic expansion of correlation functions for Zd covers of hyperbolic flows

Global observables for random walks: law of large numbers

Asymptotic expansion of correlation functions for $Z^{d}$ covers of hyperbolic flows