English
Integrable probability - Lecture 1
Post-edited
Auteurs : Corwin, Ivan (Auteur de la Conférence)
CIRM (Editeur )
60H15 - Stochastic partial differential equations
82B23 - Exactly solvable models; Bethe ansatz
82C22 - Interacting particle systems
CIRM (Editeur )
Résumé :
A number of probabilistic systems which can be analyzed in great detail due to certain algebraic structures behind them. These systems include certain directed polymer models, random growth process, interacting particle systems and stochastic PDEs; their analysis yields information on certain universality classes, such as the Kardar-Parisi-Zhang; and these structures include Macdonald processes and quantum integrable systems. We will provide background on this growing area of research and delve into a few of the recent developments.
Kardar-Parisi-Zhang - interacting particle systems - random growth processes - directed polymers - Markov duality - quantum integrable systems - Bethe ansatz - asymmetric simple exclusion process - stochastic partial differential equations
Codes MSC : Kardar-Parisi-Zhang - interacting particle systems - random growth processes - directed polymers - Markov duality - quantum integrable systems - Bethe ansatz - asymmetric simple exclusion process - stochastic partial differential equations
60H15 - Stochastic partial differential equations
82B23 - Exactly solvable models; Bethe ansatz
82C22 - Interacting particle systems
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 15/01/15 Date de captation : 05/01/15 Sous collection : Research School arXiv category : Probability Domaine : Probability & Statistics Format : QuickTime (.mov) Durée : 01:40:05 Audience : Researchers Download : https://videos.cirm-math.fr/2015-01-05_Corwin_part1.mp4 
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Informations sur la Rencontre
Nom de la rencontre : School on disordered systems, random spatial processes and some applications : introductory school / Ecole sur les systèmes désordonnés, processus spatiaux aléatoires et certaines applications : école d'introductionOrganisateurs de la rencontre : Bouchaud, Jean-Philippe ; Contucci, Pierluigi ; Giardina, Cristian ; Sidoravicius, Vlada ; Nolin, Pierre ; Vargas, Vincent Dates : 05/01/15 - 09/01/15 Année de la rencontre : 2015 URL Congrès : http://random15.dm.unibo.it/s_introductory
Données de citation
DOI : 10.24350/CIRM.V.18660203Citer cette vidéo: Corwin, Ivan (2015). Integrable probability - Lecture 1. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18660203 URI : http://dx.doi.org/10.24350/CIRM.V.18660203 |
Voir aussi
- [Multi angle] Integrable probability - Lecture 3 / Auteur de la Conférence Corwin, Ivan.
- [Multi angle] Integrable probability - Lecture 2 / Auteur de la Conférence Corwin, Ivan.
Bibliographie
- Borodin, A., Corwin, I., & Sasamoto, T. (2014). From duality to determinants for $q$-TASEP and ASEP.
- Borodin, A., Corwin, I., Petrov, L., & Sasamoto, T. (2014). Spectral theory for the $q$-Boson particle system.
- Borodin, A., Corwin, I., Petrov, L., & Sasamoto, T. (2014). Spectral theory for interacting particle systems solvable by coordinate Bethe ansatz.
- Corwin, I. (2014). EXACT Exact solvability of some SPDEs. MSRI Summer Graduate School on Stochastic Partial Differential Equations, Jul 2014, Berkeley, California, United States - http://www.math.columbia.edu/~corwin/MSRIJuly2014.pdf
- Corwin, I. (2014). Macdonald processes, quantum integrable systems and the Kardar-Parisi-Zhang universality class.
- Corwin, I. (2014). The $(q, \mu, \nu)$-Boson process and $(q, \mu, \nu)$-TASEP.
