By means of the Minkowski function we define a new concept of local Holder Ž . equicontinuity respectively local Holder continuity for families consisting of Ž . set-valued mappings respectively for set-valued mappings between topological linear spaces. The connection between this new concept and t
Weak Hölder Continuity of the Generalized Hamiltonian Flow
✍ Scribed by Latchezar Stoyanov
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 192 KB
- Volume
- 204
- Category
- Article
- ISSN
- 0022-247X
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✦ Synopsis
The generalized Hamiltonian flow F generated by a smooth function on a t symplectic manifold S with smooth boundary Ѩ S is considered. It is proved that if F has no tangencies of infinite order to Ѩ S, then given a metric d on S, an integral t Ž .
Ž . curve t of F , a compact neighbourhood K of 0 in S, and T ) 0, there exist
Ž . whenever t is an integral curve of F with 0 g K.
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## Abstract We construct examples that log Hölder continuity of the integrated density of states cannot be improved. Our examples are limit‐periodic. © 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim
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