6 papers
The stochastic six vertex model and discrete orthogonal polynomial ensembles
Promit Ghosal, Guilherme L. F. Silva
Stochastic growth models in the Kardar-Parisi-Zhang (KPZ) universality class exhibit remarkable fluctuation phenomena. While a variety of powerful methods have led to a detailed un…
Conditional thinning and multiplicative statistics of Laguerre-type orthogonal polynomial ensembles
Leslie Molag, Guilherme L. F. Silva, Lun Zhang
We study the local statistics of orthogonal polynomial ensembles near a hard edge, subject to a multiplicative deformation of the measure. Probabilistically, this deformation corre…
Deformations of biorthogonal ensembles and universality
Tom Claeys, Guilherme L. F. Silva
We consider a large class of deformations of continuous and discrete biorthogonal ensembles and investigate their behavior in the limit of a large number of particles. We provide s…
Deformations of OP ensembles in a bulk critical scaling
Caio E. Candido, Victor Alves, Thomas Chouteau +2
We study orthogonal polynomial ensembles whose weights are deformations of exponential weights, in the limit of a large number of particles. The deformation symbols we consider aff…
The Pólya-Tchebotarev problem with semiclassical external fields
Victor Alves, Guilherme Silva
The classical Pólya-Tchebotarev problem, commonly stated as a max-min logarithmic energy problem, asks for finding a compact of minimal capacity in the complex plane which connect…
A Central Limit Theorem for intransitive dice
Luis G. Coelho, Tertuliano Franco, Lael V. Lima +4
Intransitive dice are dice such that has advantage when played against , dice has advantage when played against …