A note about Domination and monotonicity in disordered systems

Vu Lan Nguyen

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arXiv · 1606.01835

A note about Domination and monotonicity in disordered systems

Vu Lan Nguyen

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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.

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Vu Lan Nguyen. 2016-06-06. A note about Domination and monotonicity in disordered systems. https://arxiv.org/abs/1606.01835

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