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Small Noise Asymptotic of the Timing Jitter in Soliton Transmission

Exit from a neighborhood of zero for weakly damped stochasticnonlinear SchrÄodinger equations is studied. The small noise is either complexand of additive type or real and of multiplicative type. It is white in time andcolored in space. The neighborhood is either in L2 or in H1. The small noiseasymptotic of both the ¯rst exit times and the exit points are characterized.
Year of publication:
2005
Authors: Debussche, Arnaud ; Gautier, Eric
Institutions: Centre de Recherche en Économie et Statistique (CREST), Groupe des Écoles Nationales d'Économie et Statistique (GENES)
Extent:
application/pdf
Series:
Type of publication: Book / Working Paper
Notes:
Number 2005-20 3 pages long
Source:
Persistent link: https://www.econbiz.de/10005704124
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