David de Boer

activity

20202023

most citedUniqueness of the Gibbs measure for the

4

-state anti-ferromagnetic Potts model on the regular tree

5 citations · 7 across the 2 of their papers we have counts for

collaborators

3 papers

math.CO2023

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…

math.PR2022★ 2 cited

Uniqueness of the Gibbs measure for the anti-ferromagnetic Potts model on the infinite $Δ$ -regular tree for large $Δ$

Ferenc Bencs, David de Boer, Pjotr Buys +1

In this paper we prove that for any integer $q \geq 5$ , the anti-ferromagnetic $q$ -state Potts model on the infinite $Δ$ -regular tree has a unique Gibbs measure for all edge interac…

math.PR2020★ 5 cited

Uniqueness of the Gibbs measure for the $4$ -state anti-ferromagnetic Potts model on the regular tree

David de Boer, Pjotr Buys, Guus Regts

We show that the $4$ -state anti-ferromagnetic Potts model with interaction parameter $w \in (0, 1)$ on the infinite $(d + 1)$ -regular tree has a unique Gibbs measure if $w\geq 1-\frac{4…

On boundedness of zeros of the independence polynomial of tori

Uniqueness of the Gibbs measure for the anti-ferromagnetic Potts model on the infinite Δ-regular tree for large Δ

Uniqueness of the Gibbs measure for the 4-state anti-ferromagnetic Potts model on the regular tree

Uniqueness of the Gibbs measure for the anti-ferromagnetic Potts model on the infinite $Δ$ -regular tree for large $Δ$

Uniqueness of the Gibbs measure for the $4$ -state anti-ferromagnetic Potts model on the regular tree