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math.PR2023
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…
math.CO2023★ 1 cited
Optimal zero-free regions for the independence polynomial of bounded degree hypergraphs
Ferenc Bencs, Pjotr Buys
In this paper we investigate the distribution of zeros of the independence polynomial of hypergraphs of maximum degree . For graphs the largest zero-free disk around zero was de…