Ofer Busani

University of Edinburgh University of Edinburgh

On the number of infinite geodesics at exceptional directions in the KPZ class

Probability Seminar

7th February 2024, 3:30 pm – 4:30 pm
Fry Building, G.12

The KPZ class consists of many models of random growth interface. In many cases, the dynamics of these models can be studied via variational forms that give rise to metric-like spaces, which in turn, can be studied through geodesics. The study of infinite geodesics in the KPZ class has been studied intensively in the past 30 years. One central question is the following:

Given a direction, how many infinite geodesics that are asymptotically going in that direction are there?

In this talk I shall discuss what we know about infinite in the KPZ class and some recent developments regarding the question above.

Based on several works with Marton Balazs, Timo Seppalainen and Evan Sorensen.

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