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Variational formulas, Busemann functions, and fluctuation exponents for the corner growth model with exponential weights - Lecture 2
Multi angle
Authors : Seppäläinen, Timo (Author of the conference)
CIRM (Publisher )
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)
Additional resources :
http://www.cirm-math.fr/ProgWeebly/Renc1559/Seppalainen.pdf
CIRM (Publisher )
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Abstract :
Busemann functions for the two-dimensional corner growth model with exponential weights. Derivation of the stationary corner growth model and its use for calculating the limit shape and proving existence of Busemann functions.
MSC Codes : 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)
Additional resources :
http://www.cirm-math.fr/ProgWeebly/Renc1559/Seppalainen.pdf
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 16/03/17 Conference Date : 08/03/17 Subseries : Research School arXiv category : Probability Mathematical Area(s) : Probability & Statistics ; Mathematical Physics Format : MP4 (.mp4) - HD Video Time : 01:38:36 Targeted Audience : Researchers ; Graduate Students Download : https://videos.cirm-math.fr/2017-03-08_Seppalainen_Part2.mp4 
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Information on the Event
Event Title : 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 mathématiqueEvent Organizers : Khanin, Konstantin ; Seppäläinen, Timo ; Shlosman, Senya Dates : 06/03/17 - 10/03/17 Event Year : 2017 Event URL : https://www.chairejeanmorlet.com/1559.html
Citation Data
DOI : 10.24350/CIRM.V.19138803Cite this video as: Seppäläinen, Timo (2017). Variational formulas, Busemann functions, and fluctuation exponents for the corner growth model with exponential weights - Lecture 2. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19138803 URI : http://dx.doi.org/10.24350/CIRM.V.19138803 |
See Also
- [Multi angle] The KPZ fixed point - Lecture 2 / Author of the conference Remenik, Daniel.
- [Multi angle] The KPZ fixed point - Lecture 1 / Author of the conference Remenik, Daniel.
- [Multi angle] Variational formulas, Busemann functions, and fluctuation exponents for the corner growth model with exponential weights - Lecture 3 / Author of the conference Seppäläinen, Timo.
- [Post-edited] Variational formulas, Busemann functions, and fluctuation exponents for the corner growth model with exponential weights - Lecture 1 / Author of the conference Seppäläinen, Timo.
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
