Extreme points in limit sets
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- by Danny Calegari and Alden Walker PDF
- Proc. Amer. Math. Soc. 147 (2019), 3829-3837 Request permission
Abstract:
Given an iterated function system of affine dilations with fixed points the vertices of a regular polygon, we characterize which points in the limit set lie on the boundary of its convex hull.References
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Additional Information
- Danny Calegari
- Affiliation: Department of Mathematics, University of Chicago, Chicago, Illinois 60637
- MR Author ID: 605373
- Email: dannyc@math.uchicago.edu
- Alden Walker
- Affiliation: Center for Communications Research, San Diego, California 92121
- MR Author ID: 925092
- Email: akwalke@ccrwest.org
- Received by editor(s): November 30, 2018
- Published electronically: June 14, 2019
- Additional Notes: The first author was supported by NSF grant DMS 1405466.
The second author was partially supported by NSF grant DMS 1203888. - Communicated by: Nimish Shah
- © Copyright 2019 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 147 (2019), 3829-3837
- MSC (2010): Primary 28A80, 37C70, 37F99
- DOI: https://doi.org/10.1090/proc/14656
- MathSciNet review: 3993775