Activités de recherche

Vous trouverez ici une liste de mes publications. Mes recherches portent sur les modèles de polymères désordonnés (modèles d'accrochages et polymères dirigés aléatoire), et les problèmes de dynamiques hors équilibre. Une description plus détaillée de mes recherches est disponible ici. J'ai eu la chance de collaborer avec:
Quentin Berger, Thierry Bodineau, Pietro Caputo, Bernard Derrida, Wolfgang König, Giambattista Giacomin, Rémi Leblond, Gregorio Moreno , Fabio Martinelli , Peter Mörters, Nadia Sidorova, François Simenhaus et Fabio Toninelli.

[20] H. Lacoin, Volume exponent for Brownian Motion in a Poissonian Potential with long range correlation II: The Upper Bound. (in preparation)

[19] Q. Berger, H. Lacoin, Exact critical behavior for random pinning model with correlated environment, (in preparation).

[18] H. Lacoin, Volume exponent for Brownian Motion in a Poissonian Potential with long range correlation I: The Lower bound. arXiv:1104.1944 [math-PR]

[17] H. Lacoin, Approximal Lifshitz law for zero-temperature Ising model in any dimension, arXiv:1102.3466 [math-ph]

[16] H. Lacoin, R. Leblond, The cutoff phenomenon for the simple exclusion process on the complete graph, arXiv:1010.4866 [math-PR]

[15] H. Lacoin, P. Mörters, A scaling limit theorem for the parabolic Anderson model with exponential potential, Article in the honor of Jürgen Gärtner for his 60th birthday arXiv:1009.4862v1 [math-PR]

[14] Q. Berger, H. Lacoin, The effect of disorder on the free-energy for the Random Walk Pinning Model: smoothing of the phase transition and low temperature asymptotics, Journal of Statistical Physics 42 (2011) 322-341. arXiv:1007.5162v1 [math-ph]

[13] P. Caputo, H. Lacoin, F. Martinelli, F. Simenhaus ,F.L. Toninelli, Polymer dynamics in the depinned phase: metastability with logarithmic barriers, (preprint). arXiv:1007.4470 [math.PR]

[12]H. Lacoin, The martingale approach to disorder irrelevance for pinning models, Electronic Communications in Probability 15 (2010) 418-427. arXiv:1002.4752 [math.PR]

[11] H. Lacoin, Influence of spatial correlation for directed polymers, Annals of probability 39 (2011) 139-175. arXiv:0912.3732 [math.ph]

[10] G. Giacomin, H. Lacoin, F.L. Toninelli Disorder relevance at marginality and critical point shift, Annales de l'Institut Henri Poincaré 47 (2011) 148-175. arXiv:0906.1942 [math-ph]

[9] H. Lacoin, G. Moreno Directed Polymers on Hierarchical Lattices with site disorder, Stochastic Processes and Application 120 (2010) 467-493. arXiv:0906.0992 [math.PR]

[8] H. Lacoin, New bounds for the free energy of directed polymer in dimension 1+1 and 1+2, Communications in Mathematical Physics 294 (2010) 471-503 . arXiv:0901.0699 [math.ph]

[7] G. Giacomin, H. Lacoin, F.L. Toninelli Marginal relevance of disorder for pinning models, (2008), Communication on Pure and Applied Mathematics 63 (2010) 233-265. arXiv:0811.4723 [math.ph]

[6] H. Lacoin Hierarchical pinning model with site disorder: Disorder is marginally relevant, Probability Theory Related Fields 148 (2010) 159-175 . arXiv:0807.4864 [math.PR]

[5] H. Lacoin, F.L. Toninelli, A smoothing inequality for hierarchical pinning models Spin Glasses: Statics and Dynamics, A. Boutet de Monvel and A. Bovier (eds.), Progress in Probability 62 (2009) 271-178 . preprint

[4] T. Bodineau, G. Giacomin, H. Lacoin, F.L. Toninelli, Copolymers at selective interfaces: new bounds on the phase diagram, J. Statist. Phys. 132 (2008) 603-626 . arXiv:0803.1766 [math.PR]

[3] B. Derrida, G. Giacomin, H. Lacoin, F.L. Toninelli, Fractional moment bounds and disorder relevance for pinning models, Communication in Mathematical Physics 287 (2009) 867-887. arXiv:0712.2515 [math.PR]

[2] G. Giacomin, H. Lacoin, F.L. Toninelli, Hierarchical pinning models, quadratic maps and quenched disorder, Probability Theory Related Fields 147 (2010) 185-216. arXiv:0711.4649 [math.PR]

[1] W. Koenig, H. Lacoin, P. Moerters, N. Sidorova A Two city theorem for the parabolic Anderson model Annals of Probability 37 (2009) 347-392. PDF