Representing real numbers in Möbius number systems

Alexandr Kazda[1]; Petr Kùrka[2]

  • [1] Department of Algebra, Charles University in Prague, Sokolovská 83, Praha 8, 186 75, Czech Republic
  • [2] Center for Theoretical Study, Academy of Sciences and Charles University in Prague, Jilská 1, 11000, Praha 1, Czech Republic

Actes des rencontres du CIRM (2009)

  • Volume: 1, Issue: 1, page 35-39
  • ISSN: 2105-0597

How to cite

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Kazda, Alexandr, and Kùrka, Petr. "Representing real numbers in Möbius number systems." Actes des rencontres du CIRM 1.1 (2009): 35-39. <http://eudml.org/doc/10011>.

@article{Kazda2009,
affiliation = {Department of Algebra, Charles University in Prague, Sokolovská 83, Praha 8, 186 75, Czech Republic; Center for Theoretical Study, Academy of Sciences and Charles University in Prague, Jilská 1, 11000, Praha 1, Czech Republic},
author = {Kazda, Alexandr, Kùrka, Petr},
journal = {Actes des rencontres du CIRM},
keywords = {Möbius transformation; number system; arithmetical algorithm; continued fraction; automata},
language = {eng},
month = {3},
number = {1},
pages = {35-39},
publisher = {CIRM},
title = {Representing real numbers in Möbius number systems},
url = {http://eudml.org/doc/10011},
volume = {1},
year = {2009},
}

TY - JOUR
AU - Kazda, Alexandr
AU - Kùrka, Petr
TI - Representing real numbers in Möbius number systems
JO - Actes des rencontres du CIRM
DA - 2009/3//
PB - CIRM
VL - 1
IS - 1
SP - 35
EP - 39
LA - eng
KW - Möbius transformation; number system; arithmetical algorithm; continued fraction; automata
UR - http://eudml.org/doc/10011
ER -

References

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  1. Svetlana Katok. Fuchsian Groups. The University of Chicago Press, Chicago and London, 1992. Zbl0753.30001MR1177168
  2. Alexandr Kazda. Convergence in Möbius Number Systems Integers, submitted. Zbl1196.37022
  3. Petr Kùrka. A symbolic representation of the real Möbius group. Nonlinearity, 21:613–623, 2008. Zbl1151.37015MR2396619
  4. Petr Kùrka. Möbius number systems with sofic subshifts. Nonlinearity, 22(2):437–456, 2009. Zbl1161.37015MR2475555
  5. Petr Kùrka. Topological and symbolic dynamics. Société Mathématique de France, Paris, 2003. Zbl1038.37011MR2041676
  6. Brian Marcus and Douglas Lind. Introduction to Symbolic Dynamics and Coding. Cambridge University Press, Cambridge, 1995. Zbl1106.37301MR1369092

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