19 citations · 21 across the 3 of their papers we have counts for
5 papers
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This submission has been withdrawn because it is a duplicate of [math.PR/0609434].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…
Uniform large deviations for the nonlinear Schrodinger equation with multiplicative noise
Eric Gautier
Uniform large deviations for the laws of the paths of the solutions of the stochastic nonlinear Schrodinger equation when the noise converges to zero are presented. The noise is a…
Large deviations and support results for nonlinear Schrodinger equations with additive noise and applications
Eric Gautier
Sample path large deviations for the laws of the solutions of stochastic nonlinear Schrodinger equations when the noise converges to zero are presented. The noise is a complex addi…