47 citations · 128 across the 19 of their papers we have counts for
4 papers · 1 filter
Exit problems related to the persistence of solitons for the Korteweg-de Vries equation with small noise
Anne De Bouard, Eric Gautier
We consider two exit problems for the Korteweg-de Vries equation perturbed by an additive white in time and colored in space noise of amplitude a. The initial datum gives rise to a…
Small noise asymptotic of the timing jitter in soliton transmission
Arnaud Debussche, Eric Gautier
This submission has been withdrawn because it is a duplicate of [math.PR/0609434].
Stochastic nonlinear Schrodinger equations driven by a fractional noise - Well posedness, large deviations and support
Eric Gautier
We consider stochastic nonlinear Schrodinger equations driven by an additive noise. The noise is fractional in time with Hurst parameter H in (0,1). It is also colored in space and…
Small noise asymptotic of the timing jitter in soliton transmission
Arnaud Debussche, Eric Gautier
We consider the problem of the error in soliton transmission in long-haul optical fibers caused by the spontaneous emission of noise inherent to amplification. We study two types o…