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6 papers · 2 filters
KPZ exponents for the half-space log-gamma polymer
Guillaume Barraquand, Ivan Corwin, Sayan Das
We consider the point-to-point log-gamma polymer of length in a half-space with i.i.d. distributed bulk weights and i.i.d. $\operatorname{Gamma…
Exact threshold for approximate ellipsoid fitting of random points
Afonso S. Bandeira, Antoine Maillard
We consider the problem of exactly fitting an ellipsoid (centered at ) to standard Gaussian random vectors in , as with $n / d^2 \t…
Structured random matrices and cyclic cumulants: A free probability approach
Denis Bernard, Ludwig Hruza
We introduce a new class of large structured random matrices characterized by four fundamental properties which we discuss. We prove that this class is stable under matrix-valued a…
Stationary measures for integrable polymers on a strip
Guillaume Barraquand, Ivan Corwin, Zongrui Yang
We prove that the stationary measures for the free-energy increment process for the geometric last passage percolation (LPP) and log-gamma polymer model on a diagonal strip is give…
A general martingale approach to large noise homogenization
Dimitri Faure, Mathias Rousset
We consider Markov processes with generator of the form , in which generates a so-called dominant process that converges at la…
Collective vs. individual behaviour for sums of i.i.d. random variables: appearance of the one-big-jump phenomenon
Quentin Berger, Matthias Birkner, Linglong Yuan
This article studies large and local large deviations for sums of i.i.d. real-valued random variables in the domain of attraction of an -stable law, , with emphasis…