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<div class="csl-entry">Gerencser, M. (2025, June 2). <i>Variance renormalisation of singular SPDEs</i> [Presentation]. Stochastic Analysis & Mathematical Finance Seminars 2025, Oxford, United Kingdom of Great Britain and Northern Ireland (the). http://hdl.handle.net/20.500.12708/216221</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/216221
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dc.description.abstract
Scaling arguments give a natural guess at the regularity condition on the noise in a stochastic PDE for a local solution theory to be possible, using the machinery of regularity structures or paracontrolled distributions. This guess of ``subcriticality'' is often, but not always, correct. In cases when it is not, a the blowup of the variance of certain nonlinear functionals of the noise necessitates a different, multiplicative renormalisation. This led to a general prediction and the first results in the case of the KPZ equation in [Hairer '24]. We discuss recent developments towards confirming this prediction. Based on joint works with Fabio Toninelli and Yueh-Sheng Hsu.
