22 citations · 68 across the 37 of their papers we have counts for
41 papers
Zeros of the independence polynomial on recursive sequences of graphs
Mikhail Hlushchanka, Han Peters
We study the hard-core model on recursively defined sequences of graphs with a fixed number of labeled vertices in each graph. The next graph in the sequ…
Equidistribution Measures of infinite entropy for Transcendental Functions
Leandro Arosio, Anna Miriam Benini, John Erik Fornæss +1
In the 1980s Lyubich and Freire-Lopes-Mañé proved that for any rational function of degree d \geq 2, both preimages and periodic points equidistribute to the unique measure of maxi…
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…
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…
The limit of the zero locus of the independence polynomial for bounded degree graphs
Ferenc Bencs, Pjotr Buys, Han Peters
The goal of this paper is to accurately describe the maximal zero-free region of the independence polynomial for graphs of bounded degree, for large degree bounds. In previous work…
Zeros, chaotic ratios and the computational complexity of approximating the independence polynomial
David de Boer, Pjotr Buys, Lorenzo Guerini +2
The independence polynomial originates in statistical physics as the partition function of the hard-core model. The location of the complex zeros of the polynomial is related to ph…