6 papers
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…
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…
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…
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…
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 connects…
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 …