* Exact solutions for KPZ-type growth processes, random matrices, and equilibrium shapes of crystals

@misc{citeulike:422108, abstract = {Three models from statistical physics can be analyzed by employing space-time determinantal processes: (1) crystal facets, in particular the statistical properties of the facet edge, and equivalently tilings of the plane, (2) one-dimensional growth processes in the Kardar-Parisi-Zhang universality class and directed last passage percolation, (3) random matrices, multi-matrix models, and Dyson's Brownian motion. We explain the method and survey results of physical interest.}, author = {Spohn, Herbert }, citeulike-article-id = {422108}, eprint = {cond-mat/0512011}, keywords = {growth, kpz, matrix, random, random-matrix}, month = {Dec}, posted-at = {2005-12-06 14:18:13}, priority = {2}, title = {* Exact solutions for KPZ-type growth processes, random matrices, and equilibrium shapes of crystals}, url = {http://arxiv.org/abs/cond-mat/0512011}, year = {2005} }

TY - ELEC ID - citeulike:422108 L3 - citeulike-article-id:422108 TI - * Exact solutions for KPZ-type growth processes, random matrices, and equilibrium shapes of crystals N2 - Three models from statistical physics can be analyzed by employing space-time determinantal processes: (1) crystal facets, in particular the statistical properties of the facet edge, and equivalently tilings of the plane, (2) one-dimensional growth processes in the Kardar-Parisi-Zhang universality class and directed last passage percolation, (3) random matrices, multi-matrix models, and Dyson's Brownian motion. We explain the method and survey results of physical interest. KW - growth KW - kpz KW - matrix KW - random KW - random-matrix AU - Spohn, Herbert PY - 2005/Dec/01/ UR - http://arxiv.org/abs/cond-mat/0512011 ER -