69 citations · 181 across the 24 of their papers we have counts for
30 papers
Multilevel limits of spiked random matrix corners processes
Benjamin Landon, Tara Stojimirovic
We consider the largest eigenvalues of submatrices of the classical Gaussian random matrices with a finite rank spike in the critical BBP regime. We show that they converge to a mu…
Gaussian Multiplicative Chaos for i.i.d. matrices
Giorgio Cipolloni, Benjamin Landon
We consider matrices with i.i.d. entries, and prove that the random measure $μ_N(z):=\frac{ | \det (X-z)|^γ}{\mathbb{E}[ | \det (X-z)|^γ]} \mathrm{d} z\mathrm{d} \o…
Tail estimates for the stationary stochastic six vertex model and ASEP
Benjamin Landon, Philippe Sosoe
This work studies the tail exponents for the height function of the stationary stochastic six vertex model in the moderate deviations regime. For the upper tail of the height funct…
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…
Upper tail bounds for stationary KPZ models
Benjamin Landon, Philippe Sosoe
We present a proof of an upper tail bound of the correct order (up to a constant factor in the exponent) in two classes of stationary models in the KPZ universality class. The proo…
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…