3 citations · 3 across the 1 of their papers we have counts for
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math.PR2018
Diffusive and Super-Diffusive Limits for Random Walks and Diffusions with Long Memory
Bálint Tóth
We survey recent results of normal and anomalous diffusion of two types of random motions with long memory in or . The first class consists of random walks…
math.PR2018
Invariance Principle for the Random Lorentz Gas -- Beyond the Boltzmann-Grad Limit
Christopher Lutsko, Bálint Tóth
We prove the invariance principle for a \emph{random Lorentz-gas} particle in 3 dimensions under the Boltzmann-Grad limit and simultaneous diffusive scaling. That is, for the traje…
math.PR2018
Random walk on the randomly-oriented Manhattan lattice
Sean Ledger, Bálint Tóth, Benedek Valkó
In the randomly-oriented Manhattan lattice, every line in is assigned a uniform random direction. We consider the directed graph whose vertex set is a…