1 citations · 1 across the 2 of their papers we have counts for
4 papers
Dimension Results for the Spectral Measure of the Circular Beta Ensembles
Tom Alberts, Raoul Normand
We study the dimension properties of the spectral measure of the Circular -Ensembles. For it it was previously shown by Simon that the spectral measure is almost surel…
On the Geometry of the Last Passage Percolation Problem
Tom Alberts, Eric Cator
We analyze the geometrical structure of the passage times in the last passage percolation model. Viewing the passage time as a piecewise linear function of the weights we determine…
Busemann functions and semi-infinite O'Connell-Yor polymers
Tom Alberts, Firas Rassoul-Agha, Mackenzie Simper
We prove that given any fixed asymptotic velocity, the finite length O'Connell-Yor polymer has an infinite length limit satisfying the law of large numbers with this velocity. By a…
Intersection probabilities for a chordal SLE path and a semicircle
Tom Alberts, Michael J. Kozdron
We derive a number of estimates for the probability that a chordal SLE path in the upper half plane H intersects a semicircle centred on the real line. We prove that if 0<kappa<8 a…