Timo Seppäläinen

University of Wisconsin-Madison

Geometry of the corner growth model

Probability Seminar

31st May 2019, 3:30 pm – 4:30 pm
Main Maths Building, SM4

The corner growth model is a last-passage percolation model of random growth on the square
lattice. It lies at the nexus of several branches of mathematics: probability, statistical
physics, queueing theory, combinatorics, and integrable systems. It has been studied
intensely for 40 years. We review properties of the geodesics, Busemann functions and
competition interfaces of the corner growth model and present new qualitative and
quantitative results on the overall geodesic picture and the joint distributions of the
Busemann functions. Based on collaborations with Louis Fan (Indiana), Firas Rassoul-Agha
and Chris Janjigian (Utah).

Organisers: Tyler Helmuth, Ofer Busani

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