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Response solutions for arbitrary quasi-periodic perturbations with Bryuno frequency vector
quasi-periodic perturbations Bryuno frequency vector
2010/11/9
We study the problem of existence of response solutions for a real-analytic one-dimensional system, consisting of a rotator subjected to a small quasi-periodic forcing. We prove that at least one res...
New Ideas for Resolution of Singularities in Arbitrary Characteristic
New Ideas Resolution Singularities Arbitrary Characteristic
2010/11/11
Let $k$ be \emph{any} algebraically closed field in any characteristic, let $R$ be any regular local ring such that $R$ contains $k$ as a subring, the residue field of $R$ is isomorphic to $k$ as $k$...