# Localization of the Gaussian multiplicative chaos in the Wiener space and the stochastic heat equation in strong disorder

@article{Broker2019LocalizationOT,
title={Localization of the Gaussian multiplicative chaos in the Wiener space and the stochastic heat equation in strong disorder},
author={Yannic Broker and Chiranjib Mukherjee},
journal={The Annals of Applied Probability},
year={2019}
}
• Published 15 August 2018
• Mathematics
• The Annals of Applied Probability
We consider a {\it{Gaussian multiplicative chaos}} (GMC) measure on the classical Wiener space driven by a smoothened (Gaussian) space-time white noise. For $d\geq 3$ it was shown in \cite{MSZ16} that for small noise intensity, the total mass of the GMC converges to a strictly positive random variable, while larger disorder strength (i.e., low temperature) forces the total mass to lose uniform integrability, eventually producing a vanishing limit. Inspired by strong localization phenomena for…
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