arXiv subjects

Adám Timár

Publications and source records attributed to Adám Timár.

2 recordsLinked to original sources

arXiv2013

Comparison of quenched and annealed invariance principles for random conductance model: Part II

We show that there exists an ergodic conductance environment such that the weak (annealed) invariance principle holds for the corresponding continuous time random walk but the quenched invariance principle does not hold. In the present paper we give a proof of the full scaling limit for the weak invariance principle, improving the result in an earlier paper where we obtained a subsequential limit.

math.PR↗

arXiv2007

Neighboring clusters in Bernoulli percolation

We consider Bernoulli percolation on a locally finite quasi-transitive unimodular graph and prove that two infinite clusters cannot have infinitely many pairs of vertices at distance 1 from one another or, in other words, that such graphs exhibit ``cluster repulsion.'' This partially answers a question of Häggström, Peres and Schonmann.

math.PR↗