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Renormalisation in Regularity Structures: Part I

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SRQW02 - Quantum field theory, renormalisation and stochastic partial differential equations

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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