Assouad type dimensions of infinitely generated self-conformal sets

We study the dimension theory of limit sets of iterated function systems consisting of a countably infinite number of conformal contractions. Our focus is on the Assouad type dimensions, which give information about the local structure of sets. Under natural separation conditions, we prove a formula...

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Bibliographic Details
Main Authors: Amlan Banaji, Jonathan M Fraser
Format: Default Article
Published: 2024
Subjects:
Applied mathematics
Pure mathematics
Conformal iterated function system
Assouad dimension
Assouad spectrum
Continued fractions
Parabolic iterated function system
Online Access:https://hdl.handle.net/2134/25207181.v1
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