Holomorphic dynamics, Painlevé VI equation and Character Varieties Export

@misc{citeulike:1912549, abstract = {We study the monodromy of Painlev\'e VI equation from a dynamical point of view. This is applied to the description of bounded orbits, and to a proof of the irreducibility of Painlev\'e VI equation in the sens of Casale and Malgrange. On our way, we compute the entropy of each element of the monodromy group, and we precise the dictionary between character varieties and Painlev\'e equations.}, archivePrefix = {arXiv}, author = {Cantat, Serge and Loray, Frank}, citeulike-article-id = {1912549}, citeulike-linkout-0 = {http://arxiv.org/abs/0711.1579}, citeulike-linkout-1 = {http://arxiv.org/pdf/0711.1579}, day = {10}, eprint = {0711.1579}, keywords = {algebraic\_geometry, dynamical\_systems, integrability}, month = {Nov}, posted-at = {2007-11-14 07:06:41}, priority = {2}, title = {Holomorphic dynamics, Painlev\'e VI equation and Character Varieties}, url = {http://arxiv.org/abs/0711.1579}, year = {2007} }

TY - ELEC ID - citeulike:1912549 L3 - citeulike-article-id:1912549 N2 - We study the monodromy of Painlev\'e VI equation from a dynamical point of view. This is applied to the description of bounded orbits, and to a proof of the irreducibility of Painlev\'e VI equation in the sens of Casale and Malgrange. On our way, we compute the entropy of each element of the monodromy group, and we precise the dictionary between character varieties and Painlev\'e equations. TI - Holomorphic dynamics, Painlev\'e VI equation and Character Varieties KW - algebraic_geometry KW - dynamical_systems KW - integrability AU - Cantat, Serge AU - Loray, Frank PY - 2007/Nov/10/ UR - http://arxiv.org/abs/0711.1579 ER -