The second term in the spectral expansion of the expected LQG heat trace as t to 0 is governed by the KPZ exponent.
Conformal in- variance of planar loop-erased random walks and uniform spanning trees
3 Pith papers cite this work. Polarity classification is still indexing.
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Establishes optimal local well-posedness for reaction-diffusion SPDEs with non-trace-class multiplicative noise, critical initial-data spaces, instantaneous regularization, and applications to prototypical models.
Numerical experiments predict bimodal spread distributions for SLE started near the origin and bell-shaped otherwise, with bell-shaped distributions for multiple SLE in all tested cases.
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An optimal local theory for reaction-diffusion equations driven by non-trace-class noise
Establishes optimal local well-posedness for reaction-diffusion SPDEs with non-trace-class multiplicative noise, critical initial-data spaces, instantaneous regularization, and applications to prototypical models.