ar X iv : 0 81 1 . 42 17 v 1 [ m at h . C A ] 2 6 N ov 2 00 8 DYNAMICS OF QUASICONFORMAL FIELDS
نویسنده
چکیده
A uniqueness theorem is established for autonomous systems of ODEs, ˙ x = f (x), where f is a Sobolev vector field with additional geometric structure, such as delta-monoticity or reduced quasiconformality. Specifically, through every non-critical point of f there passes a unique integral curve.
منابع مشابه
ar X iv : 0 81 1 . 23 46 v 2 [ m at h . A G ] 1 6 N ov 2 00 8 EFFECTIVE ALGEBRAIC DEGENERACY
We prove that any nonconstant entire holomorphic curve f : C → X in a projective algebraic hypersurface X ⊂ P(C) of arbitrary dimension n > 2 must be algebraically degenerate if X is generic and if its degree satisfies the effective lower bound degX > n n+5 . Table of contents
متن کاملar X iv : 0 81 1 . 24 38 v 2 [ he p - ph ] 2 1 N ov 2 00 8 Theory Summary : International Symposium on Multiparticle Dynamics 2008
I summarize the theory talks presented at the International Symposium on Multiparticle Dynamics 2008.
متن کاملar X iv : 0 81 1 . 24 38 v 1 [ he p - ph ] 1 7 N ov 2 00 8 Theory Summary : International Symposium on Multiparticle Dynamics 2008
I summarize the theory talks presented at the International Symposium on Multiparticle Dynamics 2008.
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We construct quasiconformal mappings in Euclidean spaces by integration of a discontinuous kernel against doubling measures with suitable decay. The differentials of mappings that arise in this way satisfy an isotropic form of the doubling condition. We prove that this isotropic doubling condition is satisfied by the distance functions of certain fractal sets. Finally, we construct an isotropic...
متن کاملar X iv : 0 81 1 . 17 47 v 1 [ m at h . O C ] 1 1 N ov 2 00 8 On a Structure of the Set of Differential Games Values ∗
In this paper the set of value functions of all-possible zero-sum differential games with terminal payoff is characterized. The necessary and sufficient condition for a given function to be a value of some differential game with terminal payoff is obtained.
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