Canonical number systems, counting automata and fractals

By Klaus Scheicher, Jörg M. Thuswaldner. Mathematical Proceedings of the Cambridge Philosophical Society, 2002

53 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/f2e076da51cb3dc0e3359703f59cf1a881d39264

How researchers see this paper

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In Computational Theory and Mathematics

1. Jörg M. Thuswaldner
2. Klaus Scheicher
3. Anne Siegel
4. Val'erie Berth'e
5. Shigeki Akiyama

In Mathematical Physics

1. Jörg M. Thuswaldner
2. Klaus Scheicher
3. Anne Siegel
4. Shigeki Akiyama
5. Val'erie Berth'e

Citations in the corpus

• Topological Properties of Rauzy Fractals (2010, background): “For number systems related to full shifts a correspondence between boundary graphs and addition automata has been observed for instance in [34, 115].”
• On the characterization of canonical number systems (2004, background): “Knuth [21] considered certain examples of bases, one of them the Gaussian integer i 1 + i which is intimately related to the famous “twin dragon” fractal (as for the connection between fractals and CNS cf. also Akiyama-Thuswald ner [4, 5], K´ atai [17] and Scheicher-Thuswa ldner [ 29 ]).”
• A Survey on Topological Properties of Tiles Related to Number Systems (2004, unknown): “boundary ([19, 24, 56 , 63, 65, 66]) and their dynamical properties (cf.”