2 papers
math.PR2018
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…
math.PR2016
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…