Universality of isoradial dimers and conformal invariance of height distributions - Rescheduled

Job Candidate Talk
Thursday, February 7, 2013 - 4:05pm for 1 hour (actually 50 minutes)
Skiles 006
Zhongyang Li – University of Cambridge – Z.Li@statslab.cam.ac.ukhttp://www.statslab.cam.ac.uk/~zl296
Plamen Iliev
An isoradial graph is one which can be embedded into the plane such that each face is inscribable in a circle of common radius. We consider the superposition of an isoradial graph, and its interior dual graph, approximating a simply-connected domain, and prove that the height function associated to the dimer configurations is conformally invariant in the scaling limit, and has the same distribution as a Gaussian Free Field.