Julia Sets of Hyperbolic Rational Maps have Positive Fourier Dimension
Author:
Funder
École Normale Supérieure
Publisher
Springer Science and Business Media LLC
Subject
Mathematical Physics,Statistical and Nonlinear Physics
Link
https://link.springer.com/content/pdf/10.1007/s00220-022-04496-6.pdf
Reference41 articles.
1. Algom, A., Rodriguez, F., Wang, Z.: Pointwise normality and Fourier decay for self-conformal measures, Volume 393, 108096. https://doi.org/10.1016/j.aim.2021.108096, arXiv:2012.06529
2. Bourgain, J., Dyatlov, S.: Fourier dimension and spectral gaps for hyperbolic surfaces. Geom. Funct. Anal. 27, 744–771 (2017). arXiv:1704.02909
3. Beardon, A.F.: Iteration of Rational Functions: Complex Analytic Dynamical Systems, Graduate Texts in Mathematics. Springer, New York (1991)
4. Bluhm, C.: Random recursive construction of Salem sets. Ark. Mat. 34, 51–63 (1996)
5. Bourgain, J.: The discretized sum-product and projection theorems. JAMA 112, 193–236 (2010). https://doi.org/10.1007/s11854-010-0028-x
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