Discrete polynuclear growth and determinantal processes Export

@article{citeulike:4975707, abstract = {We consider a discrete polynuclear growth (PNG) process and prove a functioal limit theorem for its convergrence to the Airy process. This generalizes previous results by Pr"ahofer and Spohn. The result enables us to express the GOE largest eigenvalue (Tracy-Widom) distribution in terms of the Airy process. We also show some results and give a conjecture about the transversal fluctuations in a point to line last passage percolation problem.}, archivePrefix = {arXiv}, author = {Johansson, Kurt}, citeulike-article-id = {4975707}, citeulike-linkout-0 = {http://arxiv.org/abs/math/0206208}, citeulike-linkout-1 = {http://arxiv.org/pdf/math/0206208}, eprint = {math/0206208}, keywords = {airy-process}, month = {Nov}, posted-at = {2009-06-26 14:58:21}, priority = {2}, title = {Discrete polynuclear growth and determinantal processes}, url = {http://arxiv.org/abs/math/0206208}, year = {2002} }

TY - JOUR ID - citeulike:4975707 L3 - citeulike-article-id:4975707 N2 - We consider a discrete polynuclear growth (PNG) process and prove a functioal limit theorem for its convergrence to the Airy process. This generalizes previous results by Pr"ahofer and Spohn. The result enables us to express the GOE largest eigenvalue (Tracy-Widom) distribution in terms of the Airy process. We also show some results and give a conjecture about the transversal fluctuations in a point to line last passage percolation problem. TI - Discrete polynuclear growth and determinantal processes KW - airy-process AU - Johansson, Kurt PY - 2002/Nov/26/ UR - http://arxiv.org/abs/math/0206208 ER -