153 citations · 463 across the 21 of their papers we have counts for
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math.PR2019★ 2 cited
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…
math.PR2019★ 1 cited
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…
math.PR2019
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…