A note about Domination and monotonicity in disordered systems
Probability
2016-06-07 v1
Abstract
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 Laplace transform order and the convex order. For the latter our results cover also many classical disordered systems.
Cite
@article{arxiv.1606.01835,
title = {A note about Domination and monotonicity in disordered systems},
author = {Vu Lan Nguyen},
journal= {arXiv preprint arXiv:1606.01835},
year = {2016}
}