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<h3><b>Yale University<br><br>
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Department of Statistics Seminar</b></h3><div align="center">Monday,
October 16, 2006<br><br>
24 Hillhouse Avenue, Room 107, 4:15 pm<br><br>
Eric Gautier <br>
Cowles Foundation<br>
Yale University <br><br>
Title: “Some applications of large deviations for stochastic nonlinear
schrodinger equations”.<br>
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Abstract:<br>
"Nonlinear Schrödinger equations are a generic model for the
propagation of nonlinear dispersive waves. However, it is often
physically relevant to consider random perturbations of these equations.
We consider here additive and multiplicative Gaussian noises that are
white in time and colored in space as well as fractional noises. We first
present the equations and their well-posedness as well as sample path
large deviation principles. We then review some applications to the small
noise asymptotics of the blow-up times and physical quantities whose
fluctuation due to noise impair transmission by solitons in fibers. We
finally emphasize on a particular application which is the study of the
exit of a domain of attraction for weakly damped equations. "<br>
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