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 …

These lecture notes offer a gentle introduction to the two-dimensional Discrete Gaussian
Free Field with particular attention paid to the scaling limits of the level sets at heights …

Consider a Brownian loop soup $\mathcal {L} _D^\theta $ with subcritical intensity $\theta\in
(0, 1/2] $ in some 2D bounded simply connected domain. We define and study the …

We characterise the multiplicative chaos measure M associated to planar Brownian motion
introduced in Bass et al.(Ann Probab 22 (2): 566–625, 1994), Aïdékon et al.(Ann. Probab. 48 …

We construct the analogue of Gaussian multiplicative chaos measures for the local times of
planar Brownian motion by exponentiating the square root of the local times of small circles …

We study the extremal process associated with the Discrete Gaussian Free Field on the
square lattice and elucidate how the conformal symmetries manifest themselves in the …

We construct a measure on the thick points of a Brownian loop soup in a bounded domain
DD of the plane with given intensity θ> 0 θ>0, which is formally obtained by exponentiating …

We study exceptional sets of the local time of the continuous-time simple random walk in
scaled-up (by N) versions DN⊆ Z 2 of bounded open domains D⊆ R 2. Upon exit from DN …

We study the extremal process associated with the Discrete Gaussian Free Field on the
square lattice and elucidate how the conformal symmetries manifest themselves in the …

We prove that multiplicative chaos measures can be constructed from extreme level sets or
thick points of the underlying logarithmically correlated field. We develop a method which …