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Renormalisation in Regularity Structures: Part I

Presented by: 
Ajay Chandra University of Warwick
Date: 
Thursday 25th October 2018 - 09:00 to 10:00
Venue: 
INI Seminar Room 1
Abstract: 
The inception of regularity structures provided a robust deterministic theory that generalized the notion of “Taylor expansion" and classical notions of regularity in a way flexible enough to encode renormalisation - this led to rapid development in the local existence theory for singular stochastic SPDE. In the years that followed the framework for implementing renormalisation in regularity structures has become much more robust. I will describe these developments with an emphasis on how the stochastic estimates needed in regularity structures can be obtained by using methods from multiscale perturbation theory with a twist.
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Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons