Published May 2018
| Submitted
Journal Article
Open
Sparse Beltrami Coefficients, Integral Means of Conformal Mappings and the Feynman-Kac Formula
- Creators
- Ivrii, Oleg
Chicago
An error occurred while generating the citation.
Abstract
In this note, we give an estimate for the dimension of the image of the unit circle under a quasiconformal mapping whose dilatation has small support. We also prove an analogous estimate for the rate of growth of a solution of a second-order parabolic equation given by the Feynman-Kac formula with a sparsely supported potential and introduce a dictionary between the two settings.
Additional Information
© 2017 Springer Science+Business Media B.V. Received: 04 January 2017; Accepted: 28 June 2017; First Online: 04 July 2017. The author wishes to thank Kari Astala, Ilia Binder, István Prause and Eero Saksman for interesting conversations and the anonymous referee for a number of corrections and helpful suggestions. The research was funded by the Academy of Finland, project nos. 271983 and 273458.Attached Files
Submitted - 1608.05872.pdf
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Additional details
- Eprint ID
- 78823
- DOI
- 10.1007/s11118-017-9642-x
- Resolver ID
- CaltechAUTHORS:20170706-154349614
- Academy of Finland
- 271983
- Academy of Finland
- 273458
- Created
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2017-07-06Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field