Clément Cosco

activity

20182020

most citedLaw of large numbers and fluctuations in the sub-critical and

L^{2}

regions for SHE and KPZ equation in dimension

d \geq 3

9 citations · 9 across the 1 of their papers we have counts for

collaborators

7 papers

math.PR2020

Directed polymers on infinite graphs

Clement Cosco, Inbar Seroussi, Ofer Zeitouni

We study the directed polymer model for general graphs (beyond $Z^{d}$ ) and random walks. We provide sufficient conditions for the existence or non-existence of a weak disord…

math.PR2020★ 9 cited

Law of large numbers and fluctuations in the sub-critical and $L^{2}$ regions for SHE and KPZ equation in dimension $d \geq 3$

Clément Cosco, Shuta Nakajima, Makoto Nakashima

There have been recently several works studying the regularized stochastic heat equation (SHE) and Kardar-Parisi-Zhang (KPZ) equation in dimension $d \geq 3$ as the smoothing parame…

math.PR2019

Space-time fluctuation of the Kardar-Parisi-Zhang equation in $d \geq 3$ and the Gaussian free field

Francis Comets, Clément Cosco, Chiranjib Mukherjee

We study the solution $h_{ε}$ of the Kardar-Parisi-Zhang (KPZ) equation for $d \geq 3$ : $$ \frac{\partial}{\partial t} h_{\varepsilon} = \frac12 Δh_{\varepsilon} + \bigg[\f…

math.PR2019

Gaussian fluctuations for the directed polymer partition function for $d \geq 3$ and in the whole $L^{2}$ -region

Clément Cosco, Shuta Nakajima

We consider the discrete directed polymer model with i.i.d. environment and we study the fluctuations of the tail $n^{(d - 2) /4} (W_{\infty} - W_{n})$ of the normalized partition function…

math.PR2019

Renormalizing the Kardar-Parisi-Zhang equation in $d \geq 3$ 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…

math.PR2018

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 $R^{d}$ with multiplicative space-time white noise noise smoothed in space. For $d \geq 3$ and small noise intensity, the solution…

Directed polymers on infinite graphs

Law of large numbers and fluctuations in the sub-critical and L2 regions for SHE and KPZ equation in dimension d≥3

Space-time fluctuation of the Kardar-Parisi-Zhang equation in d≥3 and the Gaussian free field

Gaussian fluctuations for the directed polymer partition function for d≥3 and in the whole L2-region

Renormalizing the Kardar-Parisi-Zhang equation in d≥3 in weak disorder

Fluctuation and Rate of Convergence for the Stochastic Heat Equation in Weak Disorder

Law of large numbers and fluctuations in the sub-critical and $L^{2}$ regions for SHE and KPZ equation in dimension $d \geq 3$

Space-time fluctuation of the Kardar-Parisi-Zhang equation in $d \geq 3$ and the Gaussian free field

Gaussian fluctuations for the directed polymer partition function for $d \geq 3$ and in the whole $L^{2}$ -region

Renormalizing the Kardar-Parisi-Zhang equation in $d \geq 3$ in weak disorder