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Fractal Geometry in Models of Random Growth November 22, 2021 (11:00 AM PST - 12:00 PM PST)
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Location: MSRI: Online/Virtual, Baker Board Room
Speaker(s) Shirshendu Ganguly (University of California, Berkeley)
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Fractal Geometry In Models Of Random Growth


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In last passage percolation models predicted to lie in the Kardar-Parisi-Zhang (KPZ) universality class, geodesics are oriented paths moving through random noise accruing maximum weight. The weight of such geodesics as their endpoints are varied gives rise to an intricate random energy field expected to converge to a rich universal object known as the Directed Landscape constructed by Dauvergne, Ortmann and Virag. 

Reporting recent progress in our understanding of the random fractal geometry exhibited by the latter, we will discuss results about the coupling structure of the geodesic weight as the endpoints are varied.

The talk will be based on various works jointly with subsets of R. Basu, E. Bates, A. Hammond, M. Hegde and L. Zhang. 

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Fractal Geometry In Models Of Random Growth