Work

Invariant Spanning Trees for Quadratic Rational Maps

Year: 2019

Type: article

Abstract: We study Thurston equivalence classes of quadratic post-critically finite branched coverings. For these maps, we introduce and study invariant spanning trees. We give a computational procedure for searching for invariant spanning trees. This procedure uses bisets over the fundamental group of a punctured sphere. We also introduce a new combinatorial invariant of Thurston classes—the ivy graph.

Source: Arnold Mathematical Journal

DOI: 10.1007/s40598-019-00123-w

Authors: Anastasia Shepelevtseva, Vladlen Timorin

Institutions: National Research University Higher School of Economics, Scuola Normale Superiore

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Research University Higher School of Economics, Universität Bremen, Jacobs University

OpenAlex ID: W2886225760

FWCI: 0.899

Cites: 14

Cited by: 6

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