Measure-wise disjoint Rauzy fractals with the same incidence matrix
| Autor: | Víctor F. Sirvent, Paul Surer, Klaus Scheicher |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
010505 oceanography
General Mathematics 010102 general mathematics Incidence matrix Disjoint sets 01 natural sciences Measure (mathematics) Combinatorics Fractal Intersection 0101 mathematics Computer Science::Formal Languages and Automata Theory 0105 earth and related environmental sciences Mathematics |
| Zdroj: | Monatshefte für Mathematik. 194:857-871 |
| ISSN: | 1436-5081 0026-9255 |
| DOI: | 10.1007/s00605-021-01515-x |
| Popis: | The properties of the intersection of Rauzy fractals associated with substitutions having the same incidence matrix have been studied by several authors. Different techniques have been introduced and used for this purpose, one of them is the balanced pair algorithm. In the present paper we explore the actual limitations of this algorithm. We show that the balanced pair algorithm is defined and terminates only when the intersection of the Rauzy fractals have non-empty interior and when this condition fails it cannot be used. |
| Databáze: | OpenAIRE |
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