Parabolic carpets

Jonathan Fraser, Natalia Anna Jurga*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We introduce and study a family of non-conformal and non-uniformly contracting iterated function systems. We refer to the attractors of such systems as parabolic carpets. Roughly speaking they may be thought of as nonlinear analogues of self-affine carpets which are allowed to have parabolic fixed points. We compute the Lq-spectrum of a class of weak Gibbs measures supported on parabolic carpets as well as the box dimensions of the carpet itself.
Original languageEnglish
Number of pages39
JournalIsrael Journal of Mathematics
Early online date20 Jan 2025
DOIs
Publication statusE-pub ahead of print - 20 Jan 2025

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