<div class="csl-bib-body">
<div class="csl-entry">Cannizzaro, G., & Toninelli, F. L. (2024, May 14). <i>Large-scale limits of critical and supercritical SPDEs</i> [Presentation]. Spring School on Critical Singular SPDEs, Peking, China. http://hdl.handle.net/20.500.12708/197697</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/197697
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dc.description.abstract
This course will focus on some singular stochastic PDEs (SPDEs) motivated by out-of-equilibrium statistical physics, in particular driven diffusive systems and stochastic interface growth. We will deal with equations that are "critical" or "super-critical", for which scaling or Renormalization group arguments suggest a Gaussian limit for large space-time scales (with logarithmic corrections to diffusivity in the critical dimension). In particular, this class includes the "Anisotropic KPZ equation" in dimension d=2 and the stochastic Burgers equation in dimension
. We will explain how a careful analysis of the generator of the processes allows to prove Gaussian scaling limits in the super-critical case, and in the critical case in the weak-coupling regime.
en
dc.language.iso
en
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dc.subject
singular stochastic PDEs
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dc.subject
statistical physics
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dc.subject
Gaussian scaling
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dc.title
Large-scale limits of critical and supercritical SPDEs
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dc.title.alternative
Large-scale behavior of (super-)critical stochastic PDEs
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dc.type
Presentation
en
dc.type
Vortrag
de
dc.contributor.affiliation
University of Warwick, United Kingdom of Great Britain and Northern Ireland (the)
