Alexandre Legrand
Research
Publications
Teaching / Enseignement
Publications
A random polymer approach to the weak disorder phase of the vertex reinforced jump process, with Q. Berger, R. Poudevigne-Auboiron, C. Sabot, preprint, 2025.
(arxiv)
Some FKG inequalities for stochastic processes, preprint, 2024.
(arxiv)
Recurrence and transience of the critical random walk snake in random conductances, with C. Sabot, B. Schapira,
Electronic Journal of Probability
,
30
, paper no. 7, 2025.
(journal)
(arxiv)
Probing the transition from polynomial to exponential complexity in spin glasses via N-particle branching Brownian motions, with P. Maillard, preprint, 2024.
(arxiv)
Scaling limit of the disordered generalized Poland-Scheraga model, with Q. Berger,
Probability Theory and Related Fields
,
190
, 2024.
(journal)
(arxiv)
Surface transition in the collapsed phase of a self-interacting walk adsorbed along a hard wall, with N. Pétrélis,
Annals of Probability
,
50
, no. 4, 2022.
(journal)
(arxiv)
A sharp asymptotics of the partition function for the collapsed interacting partially directed self-avoiding walk, with N. Pétrélis,
Journal of Statistical Physics
,
186
, no. 3, paper no. 41, 2022.
(journal)
(arxiv)
Influence of disorder on DNA denaturation: the disordered generalized Poland-Scheraga model,
Electronic Journal of Probability
,
26
, paper no. 10, 2021.
(journal)
(arxiv)
Other documents
Perturbations of adsorption transition in polymer models
, PhD thesis, supervised by Nicolas Pétrélis and Quentin Berger, defended at the Université de Nantes, on September the 16th, 2021.
(hal)