Infinite Graph-Directed Systems and Hausdorff Dimension

• Autorzy: Amit Priyadarshi
• Języki publikacji: EN

Abstrakty

EN

In this paper we study infinite graph-directed iterated function systems on compact metric spaces given by contractive ‘infinitesimal similitudes’. We derive formula for the Hausdorff dimension of the ‘invariant set’ for such a system in terms of the spectral radii of the naturally associated family of the ‘Perron- Frobenius operators’. The results in this paper generalizes the results obtained in [20], where finite graphdirected systems and infinite iterated function systems are considered

Słowa kluczowe

EN

Hausdorff dimension; iterated function systems; graph-directed systems; Perron-Frobenius operators; spectral radius

• Wydawca: De Gruyter Open
• Czasopismo: Waves, Wavelets and Fractals
• Rocznik: 2017
• Tom: 3
• Numer: 1
• Strony: 84-95

Daty

wydano

2017-12-20

otrzymano

2016-11-07

zaakceptowano

2017-11-17

online

2017-12-29

Twórcy

autor

Amit Priyadarshi

• -110016,

Identyfikatory

DOI

10.1515/wwfaa-2017-0008