Renormalisation in Regularity Structures: Part I

1 hour 2 mins,  240.48 MB,  WebM  640x360,  29.97 fps,  44100 Hz,  529.57 kbits/sec
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Description: Chandra, A
Thursday 25th October 2018 - 09:00 to 10:00
 
Created: 2018-10-29 09:43
Collection: Scaling limits, rough paths, quantum field theory
Publisher: Isaac Newton Institute
Copyright: Chandra, A
Language: eng (English)
Distribution: World     (downloadable)
Explicit content: No
Aspect Ratio: 16:9
Screencast: No
Bumper: UCS Default
Trailer: UCS Default
 
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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