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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
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
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...
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...