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pro vyhledávání: '"Legrand Alexandre"'
Autor:
Legrand, Alexandre
This paper is interested in proving correlation inequalities of the FKG-type for various stochastic processes in continuous time. The pivotal tool which yields these correlation inequalities is an approximation with (possibly conditioned) Markov chai
Externí odkaz:
http://arxiv.org/abs/2407.13871
In this paper we study the recurrence and transience of the $\mathbb{Z}^d$-valued branching random walk in random environment indexed by a critical Bienaym\'e-Galton-Watson tree, conditioned to survive. The environment is made either of random conduc
Externí odkaz:
http://arxiv.org/abs/2406.17622
Autor:
Legrand, Alexandre, Maillard, Pascal
The continuous random energy model (CREM) is a Gaussian process indexed by a binary tree of depth $T$, introduced by Derrida and Spohn, then Bovier and Kurkova, as a toy model of a spin glass. Addario-Berry and the second author have established the
Externí odkaz:
http://arxiv.org/abs/2402.04917
Autor:
Berger, Quentin, Legrand, Alexandre
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 for asymmetry in the strands lengths and in the formation of loops: th
Externí odkaz:
http://arxiv.org/abs/2209.13480
Autor:
Legrand, Alexandre, Pétrélis, Nicolas
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 provide sharp asymptotics of the partition function inside the collapse
Externí odkaz:
http://arxiv.org/abs/2104.01247
Autor:
Legrand, Alexandre1 (AUTHOR), Dahoui, Clara1 (AUTHOR), De La Myre Mory, Clément1 (AUTHOR), Noy, Kodie1,2 (AUTHOR), Guiguettaz, Laura3 (AUTHOR), Versapuech, Margaux4 (AUTHOR), Loyer, Clara1 (AUTHOR), Pillon, Margaux1 (AUTHOR), Wcislo, Mégane1 (AUTHOR), Guéguen, Laurent5 (AUTHOR), Berlioz-Torrent, Clarisse4 (AUTHOR), Cimarelli, Andrea1 (AUTHOR), Mateo, Mathieu1,2 (AUTHOR), Fiorini, Francesca6 (AUTHOR), Ricci, Emiliano P.3 (AUTHOR), Etienne, Lucie1 (AUTHOR) lucie.etienne@ens-lyon.fr
Publikováno v:
PLoS Biology. 7/3/2024, Vol. 22 Issue 7, p1-27. 27p.
Autor:
Legrand, Alexandre, Pétrélis, Nicolas
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 horizontal axis. The model has been introduced in \cite{F90} to investigate th
Externí odkaz:
http://arxiv.org/abs/2007.11313
Autor:
Legrand, Alexandre
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 mathematicians. In the original model, only opposite bases of the two stra
Externí odkaz:
http://arxiv.org/abs/1910.04116
Autor:
Han, Po-Chun, Chuang, Chia-Hui, Lin, Shang-Wei, Xiang, Xiangmei, Wang, Zaoming, Kuzumoto, Mako, Tokuda, Shun, Tateishi, Tomoki, Legrand, Alexandre, Tsang, Min Ying, Yang, Hsiao-Ching, Wu, Kevin C.-W., Urayama, Kenji, Kang, Dun-Yen, Furukawa, Shuhei
Publikováno v:
Nature Communications; 11/14/2024, Vol. 15 Issue 1, p1-12, 12p
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