4 citations · 7 across the 4 of their papers we have counts for
3 papers · 1 filter
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…