Markov's conjecture on integral necklaces

Abstract We use the geometric reformulation of Markov's uniqueness conjecture in terms of the simple length spectrum of the modular torus to rewrite the conjecture in combinatorial terms by explicitly describing this set of lengths.

Authors

Institutions

Publication Details

Journal
Bulletin of the London Mathematical Society
Published
2025-08-22
DOI
https://doi.org/10.1112/blms.70178
Primary Topic
Computational Geometry and Mesh Generation
Type
article
Field-Weighted Citation Impact
0.00

Funders

Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Markov's conjecture on integral necklaces

David Fisac
Bulletin of the London Mathematical Society
Computational Geometry and Mesh Generation
article

Markov's conjecture on integral necklaces

David Fisac
article en

Abstract

Abstract We use the geometric reformulation of Markov's uniqueness conjecture in terms of the simple length spectrum of the modular torus to rewrite the conjecture in combinatorial terms by explicitly describing this set of lengths.

Bulletin of the London Mathematical SocietyVol. 57(12)
Universitat Autònoma de Barcelona (ES), Centre de Recerca Matemàtica (ES)
Fonds National de la Recherche Luxembourg, Ministerio de Ciencia e Innovación, Agència de Gestió d'Ajuts Universitaris i de Recerca, Agencia Estatal de Investigación
Openalex Percentile: Top 61%
Computational Geometry and Mesh Generation
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.