Root laminations of arbitrary degree

Fuente: arXiv
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Autori principali: Blokh, Alexander, Oversteegen, Lex, Timorin, Vladlen
Natura: Preprint
Pubblicazione: 2026
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author Blokh, Alexander
Oversteegen, Lex
Timorin, Vladlen
author_facet Blokh, Alexander
Oversteegen, Lex
Timorin, Vladlen
contents This paper studies the space of degree $d>1$ invariant q-laminations, i.e., geodesic laminations invariant under the $d$-tupling map of the circle and associated with equivalence relations. Our main construction associates a q-lamination with any degree $d$ critical portrait \emph{in a canonical way}. Even though somewhat technical, this is the initial step in the program of classification of all degree $d$ invariant q-laminations.
format Preprint
id arxiv_https___arxiv_org_abs_2604_23607
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Root laminations of arbitrary degree
Blokh, Alexander
Oversteegen, Lex
Timorin, Vladlen
Dynamical Systems
Primary 37F20, Secondary 37F10, 37F46
This paper studies the space of degree $d>1$ invariant q-laminations, i.e., geodesic laminations invariant under the $d$-tupling map of the circle and associated with equivalence relations. Our main construction associates a q-lamination with any degree $d$ critical portrait \emph{in a canonical way}. Even though somewhat technical, this is the initial step in the program of classification of all degree $d$ invariant q-laminations.
title Root laminations of arbitrary degree
topic Dynamical Systems
Primary 37F20, Secondary 37F10, 37F46
url https://arxiv.org/abs/2604.23607