7 papers
The effect of disorder on quenched and averaged large deviations for random walks in random environments: boundary behavior
Rodrigo Bazaes, Chiranjib Mukherjee, Alejandro Ramírez +1
For a random walk in a uniformly elliptic and i.i.d. environment on with , we show that the quenched and annealed large deviations rate functions agree on a…
Commutative diagram of the Gross-Pitaevskii approximation
Stefan Adams, Chiranjib Mukherjee
It is well-known that the {\it Gross-Pitaevskii} variational formula describes the the ground state energy of of -indistinguishable trapped particles (bosons) in a dilute state…
Space-time fluctuation of the Kardar-Parisi-Zhang equation in and the Gaussian free field
Francis Comets, Clément Cosco, Chiranjib Mukherjee
We study the solution of the Kardar-Parisi-Zhang (KPZ) equation for : $$ \frac{\partial}{\partial t} h_{\varepsilon} = \frac12 Δh_{\varepsilon} + \bigg[\f…
Renormalizing the Kardar-Parisi-Zhang equation in in weak disorder
Francis Comets, Clement Cosco, Chiranjib Mukherjee
We study Kardar-Parisi-Zhang equation in spatial dimension 3 or larger driven by a Gaussian space-time white noise with a small convolution in space. When the noise intensity is sm…
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…