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20102025
most citedPinning on a defect line: characterization of marginal disorder relevance and sharp asymptotics for the critical point shift

44 citations · 130 across the 28 of their papers we have counts for

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Showing 2011Show all

2 papers · 1 filter

math.PR2011

Hierarchical pinning model in correlated random environment

Quentin Berger, Fabio Toninelli

We consider the hierarchical disordered pinning model studied in [9], which exhibits a localization/delocalization phase transition. In the case where the disorder is i.i.d. (indep…

math.PR2011★ 15 cited

Sharp critical behavior for pinning model in random correlated environment

Quentin Berger, Hubert Lacoin

This article investigates the effect for random pinning models of long range power-law decaying correlations in the environment. For a particular type of environment based on a ren…