Manhattan property of geodesic paths on self-affine carpets

Author:

Li Yiming,Xi LifengORCID

Funder

National Natural Science Foundation of China

K.C. Wong Magna Fund in Ningbo University

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference11 articles.

1. C. Bandt and M. Mubarak, Distribution of distances and interior distances for certain self-similar measures, Arab. J. Sci. 29 (2004), 111–124.

2. B. Bárány, M. Hochman, and A. Rapaport, Hausdorff dimension of planar self-affine sets and measures, arXiv:1712.07353 .

3. T. Bedford, Crinkly curves, Markov partitions and box dimension in self-similar sets, Ph.D. Thesis, University of Warwick, 1984.

4. J. P. Chen and R. G. Niemeyer, Periodic billiard orbits of self-similar Sierpiński carpets, J. Math. Anal. Appl. 416 (2014), 969–994.

5. E. Durand-Cartagena and J. T. Tyson, Rectifiable curves in Sierpiński carpets, Indiana Univ. Math. J. 60 (2011), 285–309.

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