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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 c…
math.CO2026
On the complex zeros and the computational complexity of approximating the reliability polynomial
Ferenc Bencs, Chiara Piombi, Guus Regts
In this paper we relate the location of the complex zeros of the reliability polynomial to parameters at which a certain family of rational functions derived from the reliability p…