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math.PR2006★ 2 cited
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This submission has been withdrawn because it is a duplicate of [math.PR/0609434].
math.PR2006
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…
math.PR2006★ 19 cited
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…