Zobrazeno 1 - 10
of 103
pro vyhledávání: '"Giambattista Giacomin"'
Autor:
Giambattista Giacomin
This volume introduces readers to the world of disordered systems and to some of the remarkable probabilistic techniques developed in the field. The author explores in depth a class of directed polymer models to which much attention has been devoted
Autor:
Giambattista Giacomin, Benjamin Havret
Publikováno v:
Journal of Statistical Physics. 181:2015-2049
One dimensional pinning models have been widely studied in the physical and mathematical literature, also in presence of disorder. Roughly speaking, they undergo a transition between a delocalized phase and a localized one. In mathematical terms thes
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1cf0d45159c83e5918a2e0e4d14ff50c
https://doi.org/10.1007/s10955-020-02653-6
https://doi.org/10.1007/s10955-020-02653-6
Publikováno v:
Annales Henri Lebesgue. 3:299-339
We investigate the generalized Poland-Scheraga model, which is used in the bio-physical literature to model the DNA denaturation transition, in the case where the two strands are allowed to be non-complementary (and to have different lengths). The ho
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b7b27fe7ba29a4fb5c3d544430ac9b2f
https://doi.org/10.5802/ahl.34
https://doi.org/10.5802/ahl.34
We aim at understanding for which (complex) values of the potential the pinning partition function vanishes. The pinning model is a Gibbs measure based on discrete renewal processes with power law inter-arrival distributions. We obtain some results f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4125a5cfb556dbdb63724dd84f19412b
Publikováno v:
Probability Theory and Related Fields. 174:787-819
The copolymer model is a disordered system built on a discrete renewal process with inter-arrival distribution that decays in a regularly varying fashion with exponent $$1+ \alpha \;\geqslant \;1$$ . It exhibits a localization transition which can be
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2496caaee538e09a9bdfab48d4d8f7fd
https://doi.org/10.1007/s00440-018-0870-9
https://doi.org/10.1007/s00440-018-0870-9
Publikováno v:
Communications in Mathematical Physics. 351:923-958
We consider a certain infinite product of random \({2 \times 2}\) matrices appearing in the solution of some 1 and 1 + 1 dimensional disordered models in statistical mechanics, which depends on a parameter \({\varepsilon > 0}\) and on a real random v
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e24691906b4f3116e6f492a0916146e0
https://doi.org/10.1007/s00220-017-2855-4
https://doi.org/10.1007/s00220-017-2855-4
Stemming from the IHP trimester'Stochastic Dynamics Out of Equilibrium', this collection of contributions focuses on aspects of nonequilibrium dynamics and its ongoing developments.It is common practice in statistical mechanics to use models of large
Publikováno v:
Stochastics and Dynamics
Stochastics and Dynamics, 2020, 20 (2), pp.2050010. ⟨10.1142/S0219493720500100⟩
Stochastics and Dynamics, 2020, 20 (2), pp.2050010. ⟨10.1142/S0219493720500100⟩
We consider a class of particle systems described by differential equations (both stochastic and deterministic), in which the interaction network is determined by the realization of an Erd\H{o}s-R\'enyi graph with parameter $p_n\in (0, 1]$, where $n$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4846aad58ed3739d35f7afb529464b5e
http://arxiv.org/abs/1807.10921
http://arxiv.org/abs/1807.10921
Autor:
Hubert Lacoin, Giambattista Giacomin
Publikováno v:
Annals of Applied Probability
Annals of Applied Probability, Institute of Mathematical Statistics (IMS), 2018, 28 (1), pp.577-606. ⟨10.1214/17-AAP1312⟩
Scopus-Elsevier
Ann. Appl. Probab. 28, no. 1 (2018), 577-606
Annals of Applied Probability, Institute of Mathematical Statistics (IMS), 2018, 28 (1), pp.577-606. ⟨10.1214/17-AAP1312⟩
Scopus-Elsevier
Ann. Appl. Probab. 28, no. 1 (2018), 577-606
We consider the Lattice Gaussian free field in $d+1$ dimensions, $d=3$ or larger, on a large box (linear size $N$) with boundary conditions zero. On this field two potentials are acting: one, that models the presence of a wall, penalizes the field wh
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::34ea81007b4e9c4225c26e665fdcaeb8
https://doi.org/10.1214/17-aap1312
https://doi.org/10.1214/17-aap1312
Publikováno v:
Journal of Statistical Physics
Journal of Statistical Physics, Springer Verlag, 2016, 165, pp.785-798
Journal of Statistical Physics, Springer Verlag, 2016, 165 (4), pp.785-798. 〈10.1007/s10955-016-1652-3〉
Journal of Statistical Physics, 2016, 165 (4), pp.785-798. ⟨10.1007/s10955-016-1652-3⟩
Journal of Statistical Physics, Springer Verlag, 2016, 165 (4), pp.785-798. ⟨10.1007/s10955-016-1652-3⟩
Journal of Statistical Physics, Springer Verlag, 2016, 165, pp.785-798
Journal of Statistical Physics, Springer Verlag, 2016, 165 (4), pp.785-798. 〈10.1007/s10955-016-1652-3〉
Journal of Statistical Physics, 2016, 165 (4), pp.785-798. ⟨10.1007/s10955-016-1652-3⟩
Journal of Statistical Physics, Springer Verlag, 2016, 165 (4), pp.785-798. ⟨10.1007/s10955-016-1652-3⟩
We address the issue of the proximity of interacting diffusion models on large graphs with a uniform degree property and a corresponding mean field model, i.e. a model on the complete graph with a suitably renormalized interaction parameter. Examples
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fae06e85ea8e987d6e19e386f3a5e776
https://hal.archives-ouvertes.fr/hal-01504830
https://hal.archives-ouvertes.fr/hal-01504830