Scaling limits of disordered systems and disorder relevance

Abstract

We review recent works where we have shown that disorder relevance is closely related to the existence of non-trivial, random continuum limits

Proceedings of ICMP, 2015

References in corpus (5)

• Central limit theorems for sequences of multiple stochastic integrals
• Fractional moment bounds and disorder relevance for pinning models
• A replica-coupling approach to disordered pinning models
• Pinning on a defect line: characterization of marginal disorder relevance and sharp asymptotics for the critical point shift
• Universality for the pinning model in the weak coupling regime

Cited by in corpus (1)

• Edwards-Wilkinson fluctuations for the directed polymer in the full $L^2$-regime for dimensions $d\ge 3$