Stefan Adams

Random fields of gradients are a class of model systems arising in the studies of random interfaces, random geometry, field theory, and elasticity theory. These random objects pose challenging problems for probabilists as even an a priori...

In the talk we discuss a recent common field in analysis and probability, the so-called Ginzburg-Landau interface models. In particular we outline standard techniques as the Helffer-Sjoestrand PDE representation and relate them to the random field of...

We outline recent work uncovering intriguing connections between Otto's characterisation of diffusion as entropic gradient flow on one hand and large-deviation principles describing the microscopic picture (Brownian motion) on the other. Specifically...

We will introduce a whole range of problems related to random permutations whose motivation goes back to the Bose-Einstein condensation in quantum statistical mechanics. After reviewing standard probabilistic approaches we will introduce a Gibbs...

We discuss recent results on phase transitions of Delaunay Potts models in dimension two where the interaction depends on Delaunay edges respectively Delaunay triangles.This work is an extension of the Lebowitz & Lieb soft-core continuum Potts model...