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On Jensen’s inequality forg-expectation and for nonlinear expectation

✍ Scribed by Ying Hu


Publisher
Springer
Year
2005
Tongue
English
Weight
91 KB
Volume
85
Category
Article
ISSN
0003-889X

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Deterministic effective equations for th
✍ L. Barletti; G. Busoni 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 121 KB

## Abstract We consider electromagnetic propagation in optical fibers as described by a nonlinear Schrödinger equation. The equation is endowed with input data representing a signal affected by a Gaussian white noise. Assuming both the nonlinearity and the noise to be small of the same order ε, we