69 citations · 527 across the 43 of their papers we have counts for
46 papers
Limit of the environment viewed from Sinaï's walk
Francis Comets, Oleg Loukianov, Dasha Loukianova
For Sinaï's walk (X_k) we show that the empirical measure of the environment seen from the particle (\bar\w_k) converges in law to some random measure S. This limit measure is expl…
Scaling limit of the heavy-tailed ballistic deposition model with -sticking
Francis Comets, Joseba Dalmau, Santiago Saglietti
Ballistic deposition is a classical model for interface growth in which unit blocks fall down vertically at random on the different sites of and stick to the interface…
Rate of escape of conditioned Brownian motion
Orphée Collin, Francis Comets
We study the norm of the two-dimensional Brownian motion conditioned to stay outside the unit disk at all times. By conditioning the process is changed from barely recurrent to sli…
Generalizations of forest fires with ignition at origin
Francis Comets, Mikhail Menshikov, Stanislav Volkov
We study generalizations of the Forest Fire model introduced in [van den Berg, J., and Járai, A. A. "On the asymptotic density in a one-dimensional self-organized critical forest-f…
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…