Probability Seminar: Ofer Busani - On the number of infinite geodesics at exceptional directions in the KPZ class.
| Dates: | 26 February 2025 |
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| Times: | 15:00 - 16:00 |
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| What is it: | Seminar |
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| Organiser: | Department of Mathematics |
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Ofer Busani (The University of Edinburgh) will speak at the Probability seminar.
Title: On the number of infinite geodesics at exceptional directions in the KPZ class
Abstract:
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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Frank Adams 2
Alan Turing Building
Manchester
