Dimension transformation formula for conformal maps into the complement of an SLE curve
Abstract We prove a formula relating the Hausdorff dimension of a deterministic Borel subset of $${\mathbb {R}}$$R and the Hausdorff dimension of its image under a conformal map from the upper half-plane to a complementary connected component of an $$\hbox {SLE}_\kappa $$SLEκ curve for $$\kappa \no...
Main Authors: | Gwynne, Ewain, Holden, Nina, Miller, Jason |
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Other Authors: | Massachusetts Institute of Technology. Department of Mathematics |
Format: | Article |
Language: | English |
Published: |
Springer Berlin Heidelberg
2021
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Online Access: | https://hdl.handle.net/1721.1/131627 |
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