4 citations · 7 across the 4 of their papers we have counts for
6 papers
Partial Localization and Multifractality in Heterogeneous Population Growth with Resetting
Maximilien Bernard, Giuseppe Del Vecchio Del Vecchio, Jean-Philippe Bouchaud +1
We study a model of heterogeneous multiplicative growth with mean-field redistribution and independent local stochastic resetting. The model describes populations or wealth distrib…
Fluctuations and multifractality in stochastic models of interface growth and population dynamics
Maximilien Bernard
This thesis studies how disorder and fluctuations shape large-scale growth phenomena in three related settings: fluctuating interfaces, random spring chains, and random multiplicat…
Disordered harmonic chain with random masses and springs: a combinatorial approach
Maximilien Bernard, Christophe Texier
We study harmonic chains with i.i.d. random spring constants and i.i.d. random masses . We introduce a new combinatorial approach which allows to derive a compact approx…
A mean-field theory for heterogeneous random growth with redistribution
Maximilien Bernard, Jean-Philippe Bouchaud, Pierre Le Doussal
We study the competition between random multiplicative growth and redistribution/migration in the mean-field limit, when the number of sites is very large but finite. We find that…
The stochastic porous medium equation in one dimension
Maximilien Bernard, Andrei A. Fedorenko, Pierre Le Doussal +1
We study the porous medium equation (PME) in one space dimension in presence of additive non-conservative white noise, and interpreted as a stochastic growth equation for the heigh…
Anomalous scaling of heterogeneous elastic lines: a new picture from sample to sample fluctuations
Maximilien Bernard, Pierre Le Doussal, Alberto Rosso +1
We study a discrete model of an heterogeneous elastic line with internal disorder, submitted to thermal fluctuations. The monomers are connected through random springs with indepen…