3 citations · 3 across the 4 of their papers we have counts for
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Scaling limit of the disordered generalized Poland--Scheraga model for DNA denaturation
Quentin Berger, Alexandre Legrand
The Poland--Scheraga model, introduced in the 1970's, is a reference model to describe the denaturation transition of DNA. More recently, it has been generalized in order to allow…
A sharp asymptotics of the partition function for the collapsed interacting partially directed self-avoiding walk
Alexandre Legrand, Nicolas Pétrélis
In the present paper, we investigate the collapsed phase of the interacting partially-directed self-avoiding walk (IPDSAW) that was introduced in Zwanzig and Lauritzen (1968). We p…
Surface transition in the collapsed phase of a self-interacting walk adsorbed along a hard wall
Alexandre Legrand, Nicolas Pétrélis
The present paper is dedicated to the 2-dimensional Interacting Partially Directed Self Avoiding Walk constrained to remain in the upper-half plan and interacting with the horizont…
Influence of disorder on DNA denaturation: the disordered generalized Poland-Scheraga model
Alexandre Legrand
The Poland-Scheraga model is a celebrated model for the denaturation transition of DNA, which has been widely used in the bio-physical literature to study, and investigated by math…