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On the zero-dispersion limit of the Benjamin-Ono Cauchy problem for positive initial data
zero-dispersion limit initial data Benjamin-Ono Cauchy
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2010/4/2
We study the Cauchy initial-value problem for the Benjamin-Ono equation in the zero-disperion limit, and we establish the existence of this limit in a certain weak sense by developing an appropriate a...
Real Aspects of the Moduli Space of Genus Zero Stable Maps
Moduli space of genus zero stable maps real variety real structure
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2010/2/26
We show that the moduli space of genus zero stable maps is a real projective variety if the target space is a smooth convex real projective variety. We show that evaluation maps, forgetful maps are re...
A Local Zero-Two Law and Some Applications
A Local Zero-Two Law Applications
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2010/3/1
In the paper we obtain a local zero-two law for positive contractions of L1-spaces, which we use in order to offer new proofs of a theorem of Orey concerning Markov chains, and of the strong asymptoti...