English
Variational formulas, Busemann functions, and fluctuation exponents for the corner growth model with exponential weights - Lecture 3
Multi angle
Auteurs : Seppäläinen, Timo (Auteur de la conférence)
CIRM (Editeur )
60K35 - Interacting random processes; statistical mechanics type models; percolation theory
60K37 - Processes in random environments
82C22 - Interacting particle systems
82C43 - Time-dependent percolation
82D60 - Polymers (statistical mechanics)
Ressources complémentaires :
http://www.cirm-math.fr/ProgWeebly/Renc1559/Seppalainen.pdf
CIRM (Editeur )
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Résumé :
Kardar-Parisi-Zhang fluctuation exponent for the last-passage value of the two-dimensional corner growth model with exponential weights. We sketch the proof of the fluctuation exponent for the stationary corner growth process, and if time permits indicate how the exponent is derived for the percolation process with i.i.d. weights.
Codes MSC : 60K35 - Interacting random processes; statistical mechanics type models; percolation theory
60K37 - Processes in random environments
82C22 - Interacting particle systems
82C43 - Time-dependent percolation
82D60 - Polymers (statistical mechanics)
Ressources complémentaires :
http://www.cirm-math.fr/ProgWeebly/Renc1559/Seppalainen.pdf
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de Publication : 16/03/17 Date de Captation : 10/03/17 Sous Collection : Research School Catégorie arXiv : Probability Domaine(s) : Probabilités & Statistiques ; Physique Mathématique Format : MP4 (.mp4) - HD Durée : 01:34:58 Audience : Chercheurs ; Etudiants Science Cycle 2 Download : https://videos.cirm-math.fr/2017-03-10_Seppalainen_Part3.mp4 
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Informations sur la Rencontre
Nom de la Rencontre : Jean-Morlet Chair - Doctoral school: Random structures in statistical mechanics and mathematical physics / Chaire Jean-Morlet - Ecole doctorale : Structures aléatoires en mécanique statistique et physique mathématiqueOrganisateurs de la Rencontre : Khanin, Konstantin ; Seppäläinen, Timo ; Shlosman, Senya Dates : 06/03/17 - 10/03/17 Année de la rencontre : 2017 URL de la Rencontre : https://www.chairejeanmorlet.com/1559.html
Données de citation
DOI : 10.24350/CIRM.V.19138903Citer cette vidéo: Seppäläinen, Timo (2017). Variational formulas, Busemann functions, and fluctuation exponents for the corner growth model with exponential weights - Lecture 3. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19138903 URI : http://dx.doi.org/10.24350/CIRM.V.19138903 |
Voir Aussi
- [Multi angle] The KPZ fixed point - Lecture 2 / Auteur de la conférence Remenik, Daniel.
- [Multi angle] The KPZ fixed point - Lecture 1 / Auteur de la conférence Remenik, Daniel.
- [Multi angle] Variational formulas, Busemann functions, and fluctuation exponents for the corner growth model with exponential weights - Lecture 2 / Auteur de la conférence Seppäläinen, Timo.
- [Post-edited] Variational formulas, Busemann functions, and fluctuation exponents for the corner growth model with exponential weights - Lecture 1 / Auteur de la conférence Seppäläinen, Timo.
Bibliographie
- Balázs, M., Cator, E., & Seppäläinen, T. (2006). Cube root fluctuations for the corner growth model associated to the exclusion process. Electronic Journal of Probability, 11(42), 1094–1132 - https://arxiv.org/abs/math/0603306
- Balázs, M., & Seppäläinen, T. (2010). Order of current variance and diffusivity in the asymmetric simple exclusion process. Annals of Mathematics. Second Series, 171(2), 1237–1265 - http://dx.doi.org/10.4007/annals.2010.171.1237
- Georgiou, N., Rassoul-Agha, F., Seppäläinen, T., & Yilmaz, A. (2015). Ratios of partition functions for the log-gamma polymer. The Annals of Probability, 43(5), 2282–2331 - http://projecteuclid.org/euclid.aop/1441792286
- Georgiou, N., Rassoul-Agha, F., & Seppäläinen, T. (2016). Variational formulas and cocycle solutions for directed polymer and percolation models. Communications in Mathematical Physics, 346(2), 741–779 - http://dx.doi.org/10.1007/s00220-016-2613-z
- Rassoul-Agha, F., Seppäläinen, T., & Yilmaz, A. (2013). Quenched free energy and large deviations for random walks in random potentials. Communications on Pure and Applied Mathematics, 66(2), 202–244 - http://dx.doi.org/10.1002/cpa.21417
- Rassoul-Agha, F., & Seppäläinen, T. (2014). Quenched point-to-point free energy for random walks in random potentials. Probability Theory and Related Fields, 158(3-4), 711–750 - http://dx.doi.org/10.1007/s00440-013-0494-z
