16 citations · 18 across the 3 of their papers we have counts for
4 papers · 1 filter
Central limit theorem near the critical temperature for the overlap in the 2-spin spherical SK model
Vu Lan Nguyen, Philippe Sosoe
We prove a central limit theorem for the normalized overlap between two replicas in the spherical SK model in the high temperature phase. The convergence holds almost surely with r…
A note about Domination and monotonicity in disordered systems
Vu Lan Nguyen
In this note we establish several inequalities and monotonicity properties for the free energy of directed polymers under certain stochastic orders: the usual stochastic order, the…
Variants of geometric RSK, geometric PNG and the multipoint distribution of the log-gamma polymer
Vu-Lan Nguyen, Nikos Zygouras
We show that the reformulation of the geometric Robinson-Schensted-Knuth (gRSK) correspondence via local moves, introduced in \cite{OSZ14} can be extended to cases where the input…
Localization in log-gamma polymers with boundaries
Francis Comets, Vu Lan Nguyen
Consider the directed polymer in one space dimension in log-gamma environment with boundary conditions, introduced by Sepp{ä}l{ä}inen. In the equilibrium case, we prove that the en…