Complex dynamics and applications [ Back ]

Dates:
16.07.18 - 20.07.18
Times:
11:00 to 13:00
Place:
Barcelona, Spain

Abstract

An introduction to complex dynamics, aimed to survey its recent applications to statistical mechanics and the related open problems. A good portion of this course will be dedicated to review the classical theory of dynamics in one complex variables, initiated by Fatou and Julia. The emphasis will be on the ideas and results used in the recent progress in statistical mechanics; specifically, on the zeros of the partition function of the hard-core gas model (Peters–Regts, Bezakova–Galanis–Goldberg–Stefankovic). The course will end with a discussion of open problems.