27 citations · 110 across the 23 of their papers we have counts for
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Identification of the Polaron measure in strong coupling and the Pekar variational formula
Chiranjib Mukherjee, S. R. S. Varadhan
The path measure corresponding to the Fröhlich Polaron appearing in quantum statistical mechanics is defined as the tilted measure $$ \widehat{\mathbb P}_{\varepsilon,T}= \frac{1}{…
Localization of the Gaussian multiplicative chaos in the Wiener space and the stochastic heat equation in strong disorder
Yannic Bröker, Chiranjib Mukherjee
We consider a {\it{Gaussian multiplicative chaos}} (GMC) measure on the classical Wiener space driven by a smoothened (Gaussian) space-time white noise. For it was shown…
Fluctuation and Rate of Convergence for the Stochastic Heat Equation in Weak Disorder
Francis Comets, Clément Cosco, Chiranjib Mukherjee
We consider the stochastic heat equation on with multiplicative space-time white noise noise smoothed in space. For and small noise intensity, the solution…
Strong coupling limit of the Polaron measure and the Pekar process
Chiranjib Mukherjee, S. R. S. Varadhan
The {\it{Polaron measure}} is defined as the transformed path measure $$\widehat{\mathbb P}_{ε,T}= Z_{ε,T}^{-1}\,\, \exp\bigg\{\frac{1}{2}\int_{-T}^T\int_{-T}^T\frac{ε\e^{-ε|t-s|}}…
Identification of the Polaron measure I: Fixed coupling regime and the central limit theorem for large times
Chiranjib Mukherjee, S. R. S. Varadhan
We consider the Fröhlich model of the Polaron whose path integral formulation leads to the transformed path measure $$ \widehat{\mathbb P}_{α,T}(\mathrm dω)= Z_{α,T}^{-1}\,\, \exp\…