Integrable probability - Lecture 1 | Vidéo | Carmin.tv

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Integrable probability - Lecture 1

Appears in collection : 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'introduction

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

Information about the video

Date of recording 05/01/2015
Date of publication 15/01/2015
Institution CIRM
Licence CC BY NC ND
Language English
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.18660203
Cite this video Corwin, Ivan (05/01/2015). Integrable probability - Lecture 1. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.18660203
URL https://dx.doi.org/10.24350/CIRM.V.18660203

Domain(s)

Probability

Bibliography

Borodin, A., Corwin, I., & Sasamoto, T. (2014). From duality to determinants for $q$-TASEP and ASEP. <arXiv:1207.5035> - http://arxiv.org/abs/1207.5035
Borodin, A., Corwin, I., Petrov, L., & Sasamoto, T. (2014). Spectral theory for the $q$-Boson particle system. <arXiv:1308.3475> - http://arxiv.org/abs/1308.3475
Borodin, A., Corwin, I., Petrov, L., & Sasamoto, T. (2014). Spectral theory for interacting particle systems solvable by coordinate Bethe ansatz. <arXiv:1407.8534> - http://arxiv.org/abs/1407.8534
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. <arXiv:1403.6877> - http://arxiv.org/abs/1403.6877
Corwin, I. (2014). The $(q, \mu, \nu)$-Boson process and $(q, \mu, \nu)$-TASEP. <arXiv:1401.3321> - http://arxiv.org/abs/1401.3321

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