Konferenzvortragsdetails

Konferenz: Workshop on the occasion of Erwin Bolthausen's 70th birthday


Scaling limits of uniform quadrangulations with a boundary

Vortrag von Prof. Dr. Erich Baur
Datum: 16.09.16   Zeit: 16.20 - 17.10   Raum: Y16G05

We discuss non-compact scaling limits of uniform random planar quadrangulations with a boundary when their size tends to infinity. Depending on the asymptotic behavior of the boundary size and of the scaling sequence, we observe different limiting metric spaces, among them the Brownian half-plane with skewness, the infinite-volume Brownian disk and the infinite continuum random tree.

Based on joint work with Grégory Miermont and Gourab Ray.