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Some questions and remarks on the theory of singular stochastic PDEs

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

In the last decade there has been important progress in understanding singular stochastic PDEs (SSPDEs). In this talk I will briefly discuss the following points. 1. There are singular stochastic PDEs successfully used by physicists which are still beyond the reach of the present approaches and deserve mathematical investigation. 2. The present theory should be further developed by viewing SSPD Es as infinite dimensional dynamical systems. 3. Certain methods developed long ago for euclidean field theories in infinite volume may be useful in the study of the large time behavior of SSPD Es.

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

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