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math.AP2000
On the Global Regularity of Wave Maps in the Critical Sobolev Norm
S. Klainerman, I. Rodnianski
We extend the recent result of T.Tao to wave maps defined from the Minkowski space of dimension >4 to a target Riemannian manifold which possesses a ``bounded parallelizable'' stru…
math.NT2000
Diophantine properties of elements of SO(3)
Vadim Kaloshin, I. Rodnianski
A number alpha in R is diophantine if it is not well approximable by rationals, i.e. for some C, nu>0 and any relatively prime p, q in Z we have |alpha q -p|>C q^{-1-\vu}. It is we…