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Variational formulas, Busemann functions, and fluctuation exponents for the corner growth model with exponential weights - Lecture 3
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 :
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.
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 : 10/03/17 Subseries : Research School arXiv category : Probability Mathematical Area(s) : Probability & Statistics ; Mathematical Physics Format : MP4 (.mp4) - HD Video Time : 01:34:58 Targeted Audience : Researchers ; Graduate Students Download : https://videos.cirm-math.fr/2017-03-10_Seppalainen_Part3.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.19138903Cite this video as: 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 |
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 2 / 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
