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Variational formulas, Busemann functions, and fluctuation exponents for the corner growth model with exponential weights - Lecture 2

De Timo Seppäläinen

Apparaît également dans la 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

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.

Informations sur la vidéo

Données de citation

  • DOI 10.24350/CIRM.V.19138803
  • Citer cette vidéo Seppäläinen, Timo (08/03/2017). 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
  • URL https://dx.doi.org/10.24350/CIRM.V.19138803

Domaine(s)

Bibliographie

  • 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

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