5 citations · 14 across the 6 of their papers we have counts for
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Tail bounds for the O'Connell-Yor polymer
Benjamin Landon, Philippe Sosoe
We derive upper and lower bounds for the upper and lower tails of the O'Connell-Yor polymer of the correct order of magnitude via probabilistic and geometric techniques in the mode…
Almost-optimal bulk regularity conditions in the CLT for Wigner matrices
Benjamin Landon, Philippe Sosoe
We consider linear spectral statistics of the form for test functions of low regularity and Wigner matrices with smooth entry distribution. We show th…
Subcritical Connectivity and Some Exact Tail Exponents in High Dimensional Percolation
Shirshendu Chatterjee, Jack Hanson, Philippe Sosoe
In high dimensional percolation at parameter , the one-arm probability is known to decay exponentially on scale . We show the same statement for…
Concentration for integrable directed polymer models
Christian Noack, Philippe Sosoe
In this paper, we consider four integrable models of directed polymers for which the free energy is known to exhibit KPZ fluctuations. A common framework for the analysis of these…
Central moments of the free energy of the O'Connell-Yor polymer
Christian Noack, Philippe Sosoe
Seppäläinen and Valkó showed in \cite{SV} that for a suitable choice of parameters, the variance growth of the free energy of the stationary O'Connell-Yor polymer is governed by th…
Fluctuations of the overlap at low temperature in the 2-spin spherical SK model
Benjamin Landon, Philippe Sosoe
We describe the fluctuations of the overlap between two replicas in the 2-spin spherical SK model about its limiting value in the low temperature phase. We show that the fluctuatio…