PROOF OF THE EXACT OVERLAPS CONJECTURE FOR SYSTEMS WITH ALGEBRAIC CONTRACTIONS

Ariel Rapaport

doi:10.24033/asens.2518

PROOF OF THE EXACT OVERLAPS CONJECTURE FOR SYSTEMS WITH ALGEBRAIC CONTRACTIONS

Research output: Contribution to journal › Article › peer-review

Abstract

We establish the exact overlaps conjecture for iterated functions systems on the real line with algebraic contractions and arbitrary translations.

Original language	English
Pages (from-to)	1357-1377
Number of pages	21
Journal	Annales Scientifiques de l'Ecole Normale Superieure
Volume	55
Issue number	5
DOIs	https://doi.org/10.24033/asens.2518
State	Published - Sep 2022
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics

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10.24033/asens.2518

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title = "PROOF OF THE EXACT OVERLAPS CONJECTURE FOR SYSTEMS WITH ALGEBRAIC CONTRACTIONS",

abstract = "We establish the exact overlaps conjecture for iterated functions systems on the real line with algebraic contractions and arbitrary translations.",

author = "Ariel Rapaport",

note = "Publisher Copyright: {\textcopyright} 2022 Soci{\'e}t{\'e} Math{\'e}matique de France, Paris.",

year = "2022",

month = sep,

doi = "10.24033/asens.2518",

language = "الإنجليزيّة",

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JO - Annales Scientifiques de l'Ecole Normale Superieure

JF - Annales Scientifiques de l'Ecole Normale Superieure

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PROOF OF THE EXACT OVERLAPS CONJECTURE FOR SYSTEMS WITH ALGEBRAIC CONTRACTIONS

Abstract

All Science Journal Classification (ASJC) codes

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