On the Structures and dimensions of Moran sets

By S. Hua, Hui Rao, Z. Wen, Jun Wu. 2000

87 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/1d0992ccb23ee0913ccf3d5667fa3d2f874cb7e7

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Qinghui Liu
2. A. Kaenmaki
3. Eino Rossi
4. Val'erie Berth'e
5. Z. Wen
6. Vincent Delecroix
7. David Damanik

In Mathematical Physics

1. Vincent Delecroix
2. Qinghui Liu
3. A. Kaenmaki
4. Eino Rossi
5. Val'erie Berth'e
6. Z. Wen
7. David Damanik
8. Jonathan M. Fraser

Citations in the corpus

• Hausdorff Dimension of Spectrum of One-Dimensional Schrödinger Operator with Sturmian Potentials (2004, methodology): “In this paper, by studying more precisely the recurrent structure of the spectrum σ( Hβ) observed in [12], and developing some techniques in studying Moran structure in [5, 7 ], we will estimate the Hausdorff dimension of the spectrum for general β, and we obtain the following main result.”
• WEAK SEPARATION CONDITION, ASSOUAD DIMENSION, AND FURSTENBERG HOMOGENEITY (2015, background): “Moran constructions and dimensional properties of their limit sets have been studied extensively in Euclidean spaces; for example, see [7, 14, 15, 20, 25, 28].”
• Beyond substitutive dynamical systems: S-adic expansions (2013, background): “[110] for the notion of conformal infinite iterated function systems, and also [95], for the notion of Moran sets and class, and for a review of various related notions.”