6 papers
Stochastic dominations for FK percolation and sharp thinning thresholds for the Ising energy field
Paul Cahen, Avelio Sepúlveda
At first glance, one would imagine that the energy field of the Ising model, the set of edges whose endpoints share the same spin, is stochastically monotone as a function of the c…
Thick points under Gaussian free field dynamics
Felipe Espinosa Vergara, Avelio Sepúlveda
We investigate the evolution of thick points under two natural dynamics for the Gaussian free field (GFF) in dimension 2. The first dynamic we analyze is the Ornstein-Uhlenbeck GFF…
Excursion decomposition of the XOR-Ising model
Tomás Alcalde López, Avelio Sepúlveda
We study the excursion decomposition of the two-dimensional critical XOR-Ising model with either or free boundary conditions. In the first part, we construct the decomposition…
Vector-valued Gaussian free field conditioned to avoid a ball: Entropic repulsion of the norm and Freezing of spins
Aleksandra Korzhenkova, Avelio Sepúlveda
We study the laws of the two-dimensional vector-valued Dirichlet Gaussian free field and its massive lattice counterpart, conditioned to avoid a ball at every site of a subdomain.…
Characterisation of Markov property on planar maps
Pablo Araya, Luis Fredes, Avelio Sepúlveda
We revisit, in a self contained way, the Markov property on planar maps and decorated planar maps from three perspectives. First, we characterize the laws on these planar maps that…
Myopic non-intersection in a periodic potential
Jonas Arista, Daniel Remenik, Avelio Sepúlveda
We introduce a class of Markov processes conditioned to avoid intersection over a moving time window of length T>0, a setting we refer to as myopic non-intersection. In particular,…