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20022009
most citedRestoring the density-gradient expansion for exchange in solids and surfaces

12k citations

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math.PR2008★ 9 cited

Order of current variance and diffusivity in the rate one totally asymmetric zero range process

Marton Balazs, Julia Komjathy

We prove that the variance of the current across a characteristic is of order t^{2/3} in a stationary constant rate totally asymmetric zero range process, and that the diffusivity…

math.PR2008

Lower bounds for transition probabilities on graphs

Andras Telcs

The paper presents two results. The first one provides separate conditions for the upper and lower estimate of the distribution of the exit time from balls of a random walk on a we…

math.PR2008

Random walks on graphs with volume and time doubling

Andras Telcs

This paper studies the on- and off-diagonal upper estimate and the two-sided transition probability estimate of random walks on weighted graphs.

math.PR2008★ 1 cited

Upper bounds for transition probabilities on graphs and isoperimetric inequalities

Andras Telcs

In this paper necessary and sufficient conditions are presented for heat kernel upper bounds for random walks on weighted graphs. Several equivalent conditions are given in the for…

math.PR2007★ 4 cited

Stochastic integration based on simple, symmetric random walks

Tamás Szabados, Balázs Székely

A new approach to stochastic integration is described, which is based on an a.s. pathwise approximation of the integrator by simple, symmetric random walks. Hopefully, this method…

math.PR2007★ 2 cited

Nonparametric inference for ergodic, stationary time series

G. Morvai, S. Yakowitz, L. Gyorfi

The setting is a stationary, ergodic time series. The challenge is to construct a sequence of functions, each based on only finite segments of the past, which together provide a st…