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math.PR2026
On the self-intersection time of non-backtracking random walks
Ferenc Bencs, Leslie Ann Goldberg, Matthew Jenssen +4
We study the self-intersection time of the non-backtracking random walk on connected undirected graphs. For every fixed we show that the expected self-intersection time i…
math.PR2026
Decay of correlations and zeros for the hard-core model
Han Peters, Guus Regts, Josias Reppekus
In a recent paper the last author proved that absence of complex zeros of the partition function of the hard-core model near a parameter implies a form of correlation decay…
math.PR2024
Near optimal bounds for weak and strong spatial mixing for the anti-ferromagnetic Potts model on trees
Ferenc Bencs, Khallil Berrekkal, Guus Regts
We show that the anti-ferromagnetic Potts model on trees exhibits strong spatial mixing for a near-optimal range of parameters. Our work complements recent results of Chen, Liu, Ma…