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Smoothing of boundary behaviour in stochastic planar evolutions

Atul Shekhar, TIFR CAM
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Atul Shekhar, TIFR CAM
When Jan 17, 2023
from 02:00 PM to 03:00 PM
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Abstract:  Perturbation by noise has a curious smoothing property. For example, when we look at the mean behaviour, it can be seen as smoothing effects of heat kernel. Even more curiously, smoothing effects can be seen almost surely in some contexts. We will look into such effects in the context of evolving planar domains driven by Brownian motion. This is based on joint work with Siva Athreya and Suprio Bhar.

 

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