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20112023
most citedRenormalizing the Kardar-Parisi-Zhang equation in in weak disorder

27 citations · 110 across the 23 of their papers we have counts for

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Showing 2019 · math.PRShow all

5 papers · 2 filters

math.PR2019

Commutative diagram of the Gross-Pitaevskii approximation

Stefan Adams, Chiranjib Mukherjee, Quirin Vogel

It is well-known that the Gross-Pitaevskii variational formula describes the ground-state energy per particle of -indistinguishable trapped particles (Bosons) in a dilute state…

math.PR2019

On Null-homology and stationary sequences

Gerold Alsmeyer, Chiranjib Mukherjee

The concept of homology, originally developed as a useful tool in algebraic topology, has by now become pervasive in quite different branches of mathematics. The notion particularl…

math.PR2019★ 1 cited

Quenched and averaged large deviation rate functions for random walks in random environments: the impact of disorder

Rodrigo Bazaes, Chiranjib Mukherjee, Alejandro Ramirez +1

In 2003, Varadhan [V03] developed a robust method for proving quenched and averaged large deviations for random walks in a uniformly elliptic and i.i.d. environment (RWRE) on $\mat…

math.PR2019★ 11 cited

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…

math.PR2019★ 27 cited

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…