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- Marek Biskup, Oren Louidor
- 2016

We consider the discrete Gaussian Free Field in a square box i n Z2 of side lengthN with zero boundary conditions and study the joint law of its p roperly-centered extreme values ( h) and their… (More)

- Marek Biskup, Oren Louidor
- 2016

We consider the discrete Gaussian Free Field (DGFF) in scaled-up (square-lattice) versions of suitably regular continuum domains D⊂ C and describe the scaling limit, including local structure, of the… (More)

- Marek Biskup, Oren Louidor
- 2014

We study the extremal process associated with the Discrete Gaussian Free Field on the square lattice and show how the conformal symmetries manifest themselves in the scaling limit. Specifically, we… (More)

We study Glauber dynamics for the mean-field (Curie-Weiss) Potts model with q > 3 states and show that it undergoes a critical slowdown at an inverse-temperature βs(q) strictly lower than the… (More)

We consider the unique infinite connected component of supercritical bond percolation on the square lattice and study the geometric properties of isoperimetric sets, i.e., sets with minimal boundary… (More)

Abstract: We consider random walks on Zd among nearest-neighbor random conductances which are i.i.d., positive, bounded uniformly from above but whose support extends all the way to zero. Our focus… (More)

Full extremal process, cluster law and freezing for the two-dimensional discrete Gaussian Free Field

- Marek Biskup, Oren Louidor
- 2018

We study the local structure of the extremal process associated with the Discrete Gaussian Free Field (DGFF) in scaled-up (square-)lattice versions of bounded open planar domains subject to mild… (More)

We consider a continuous time random walk on the rooted binary tree of depth n with all transition rates equal to one and study its cover time, namely the time until all vertices of the tree have… (More)

We study the model of Directed Polymers in Random Environment in 1 1 dimensions, where the distribution at a site has a tail which decays regularly polynomially with power α, where α P p0, 2q. After… (More)

- Lihi Cohen, Yuval Emek, Oren Louidor, Jara Uitto
- SODA
- 2017

Consider a small number of scouts exploring the infinite d-dimensional grid with the aim of hitting a hidden target point. Each scout is controlled by a probabilistic finite automaton that determines… (More)