2 papers
math.PR2026
The impact of disorder and non-convex interactions on delocalisation of height functions
Paul Dario, Diederik van Engelenburg, Christophe Garban
We study the behaviour of four spins systems (the XY model, the Villain model, the XY height function and the integer-valued Gaussian free field) in the presence of a non-elliptic…
math.PR2021
Harnack inequality and one-endedness of UST on reversible random graphs
Nathanaël Berestycki, Diederik van Engelenburg
We prove that for recurrent, reversible graphs, the following conditions are equivalent: (a) existence and uniqueness of the potential kernel, (b) existence and uniqueness of harmo…