115 citations · 254 across the 43 of their papers we have counts for
4 papers · 1 filter
A near-optimal zero-free disk for the Ising model
Viresh Patel, Guus Regts, Ayla Stam
The partition function of the Ising model of a graph is defined as , where denotes the number of edges $e=\{u…
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…
Improved bounds for the zeros of the chromatic polynomial via Whitney's Broken Circuit Theorem
Matthew Jenssen, Viresh Patel, Guus Regts
We prove that for any graph of maximum degree at most , the zeros of its chromatic polynomial (in ) lie inside the disc of radius centered at $…
On boundedness of zeros of the independence polynomial of tori
David de Boer, Pjotr Buys, Han Peters +1
We study boundedness of zeros of the independence polynomial of tori for sequences of tori converging to the integer lattice. We prove that zeros are bounded for sequences of balan…