3 papers
math.PR2025
Indistinguishability for recurrent clusters
Damis El Alami, Gábor Pete, Ádám Timár
We introduce a general framework to show the indistinguishability of infinite clusters (ergodicity of the cluster subrelation) in group-invariant percolation processes with a weake…
math.PR2020
Finite-energy infinite clusters without anchored expansion
Gábor Pete, Ádám Timár
Hermon and Hutchcroft have recently proved the long-standing conjecture that in Bernoulli(p) bond percolation on any nonamenable transitive graph G, at any p > p_c(G), the probabil…
math.PR2020
The Free Uniform Spanning Forest is disconnected in some virtually free groups, depending on the generator set
Gábor Pete, Ádám Timár
We prove the rather counterintuitive result that there exist finite transitive graphs H and integers k such that the Free Uniform Spanning Forest in the direct product of the k-reg…