Variational formulas, Busemann functions, and fluctuation exponents for the corner growth model with exponential weights - Lecture 1 | Vidéo | Carmin.tv

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Chapters

Variational formulas, Busemann functions, and fluctuation exponents for the corner growth model with exponential weights - Lecture 1

By Timo Seppäläinen

Appears in collection : 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 mathématique

Variational formulas for limit shapes of directed last-passage percolation models. Connections of minimizing cocycles of the variational formulas to geodesics, Busemann functions, and stationary percolation.

Information about the video

Date of recording 06/03/2017
Date of publication 16/03/2017
Institution CIRM
Licence CC BY NC ND
Language English
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19138103
Cite this video Seppäläinen, Timo (06/03/2017). Variational formulas, Busemann functions, and fluctuation exponents for the corner growth model with exponential weights - Lecture 1. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19138103
URL https://dx.doi.org/10.24350/CIRM.V.19138103

Domain(s)

Probability

Bibliography

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

MSC codes

Document(s)

http://www.cirm-math.fr/ProgWeebly/Renc1559/Seppalainen.pdf

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