Nombre de documents

26

CV de Christiane Frougny


Article dans une revue17 documents

  • Christiane Frougny, Pavel Heller, Edita Pelantová, Milena Svobodová. k-Block parallel addition versus 1-block parallel addition in non-standard numeration systems. Journal of Theoretical Computer Science (TCS), Elsevier, 2014, Theoretical Computer Science, 543, pp.52-67. <10.1016/j.tcs.2014.06.001>. <hal-01258409>
  • Christiane Frougny, Anna Chiara Lai. Negative bases and automata. Discrete Mathematics and Theoretical Computer Science, DMTCS, 2011, 13 (1), pp.75--94. <hal-00990484>
  • Boris Adamczewski, Christiane Frougny, Anne Siegel, Wolfgang Steiner. Rational numbers with purely periodic $\beta$-expansion. Bulletin of the London Mathematical Society / The Bulletin of the London Mathematical Society, 2010, 42 (3), pp.538-552. <10.1112/blms/bdq019>. <hal-00400799v2>
  • Christiane Frougny, Wolfgang Steiner. Minimal weight expansions in Pisot bases. Journal of Mathematical Cryptology, De Gruyter, 2008, 2 (4), pp.365-392. <10.1515/JMC.2008.017>. <hal-00265661v3>
  • Shigeki Akiyama, Christiane Frougny, Jacques Sakarovitch. Powers of rationals modulo 1 and rational base number systems. Israël Journal of Mathematics, The Hebrew University Magnes Press, 2007, pp.1-30. <hal-00159696>
  • Jean-Paul Allouche, Christiane Frougny, Kevin G. Hare. On univoque Pisot numbers. Mathematics of Computation / Mathematics of Computation, American Mathematical Society, 2007, 76, pp.1639-1660. <hal-00159701>
  • Petr Ambrož, Christiane Frougny. On alpha-adic expansions in Pisot bases. Theoretical Computer Science, Elsevier, 2007, 380, pp.238-250. <hal-00159691>
  • Christiane Frougny, Zuzana Masáková, Edita Pelantová. Infinite special branches in words associated with beta-expansions. Discrete Mathematics and Theoretical Computer Science, DMTCS, 2007, 9 (2), pp.125-144. <hal-00159681>
  • Petr Ambrož, Christiane Frougny, Zuzana Masáková, Edita Pelantova. Palindromic complexity of infinite words associated with simple Parry numbers. Annales de l'Institut Fourier, Association des Annales de l'Institut Fourier, 2006, 56, pp.2131-2160. <hal-00159686>
  • Guy Barat, Christiane Frougny, Attila Pethoe. A Note on Linear Recurrent Mahler Numbers. Integers : Electronic Journal of Combinatorial Number Theory, State University of West Georgia, Charles University, and DIMATIA, 2005, 5 (3), pp.A1. <hal-00159671>
  • Shigeki Akiyama, Frédérique Bassino, Christiane Frougny. Arithmetic Meyer sets and finite automata. Information and Computation, Elsevier, 2005, 201, pp.199-215. <hal-00159675>
  • Christiane Frougny, Laurent Vuillon. Coding of two-dimensional constraints of finite type by substitutions. Journal of Automata Languages and Combinatorics, Otto-von-Guericke-Universität Magdeburg, 2005, 10 (4), pp.1-18. <hal-00159643>
  • Christiane Frougny, Zuzana Masáková, Edita Pelantova. Complexity of infinite words associated with beta-expansions. RAIRO - Theoretical Informatics and Applications (RAIRO: ITA), EDP Sciences, 2004, 38, pp.163-185. <hal-00159649>
  • Avi Elkharrat, Christiane Frougny, Jean-Pierre Gazeau, Jean-Louis Verger-Gaugry. Symmetry groups for beta-lattices. Theoretical Computer Science, Elsevier, 2004, 319, pp.281-305. <hal-00159658>
  • Petr Ambrož, Christiane Frougny, Zuzana Masáková, Edita Pelantova. Arithmetics on number systems with irrational bases. Bull. Belgian Math. Soc. Simon Stevin, 2003, 10, pp.641-659. <hal-00159668>
  • Christiane Frougny, Jean-Pierre Gazeau, Rudolph Krejcar. Additive and multiplicative properties of point sets based on beta-integers. Theoretical Computer Science, Elsevier, 2003, 303, pp.491-516. <hal-00159704>
  • Christiane Frougny. On-line digit set conversion in real base. Theoretical Computer Science, Elsevier, 2003, 292, pp.221-235. <hal-00159702>

Communication dans un congrès5 documents

  • Christiane Frougny, Wolfgang Steiner. Minimal weight expansions in some Pisot bases,. AutoMathA, Jun 2007, Palerme, Italy. 2007. <hal-00159706>
  • Avi Elkharrat, Christiane Frougny. Voronoi cells of beta-integers. Developments in Language Theory, 2005, Kyoto, Japan. Springer, pp.209-223, 2005, Lecture Notes in Computer Science 3572. <hal-00159710>
  • Shigeki Akiyama, Christiane Frougny, Jacques Sakarovitch. On the representation of numbers in a rational base. Words 2005, 2005, Montréal, Canada. UQAM, pp.47-64, 2005, Monographies du LaCIM 36. <hal-00159715>
  • Shigeki Akiyama, Frédérique Bassino, Christiane Frougny. Automata for arithmetic Meyer sets. LATIN 04, 2004, Buenos-Aires, Argentina. Springer, 2976, pp.252-261, 2004, Lecture Notes in Computer Science. <10.1007/978-3-540-24698-5_29>. <hal-00159713>
  • Christiane Frougny, Athasit Surarerks. On-line multiplication in real and complex base. ARITH 16, 2003, Santiago, Spain. I.E.E.E. Computer Society Press, pp.212-219, 2003. <hal-00159708>

Chapitre d'ouvrage1 document

  • Christiane Frougny. Non-standard number representation: computer arithmetic, beta-numeration and quasicrystals. J.P. Gazeau, J. Nesestril and B. Rovan. Physics and Theoretical Computer Science, IOS Press, pp.155-169, 2007. <hal-00159717>

Direction d'ouvrage, Proceedings1 document

  • Vasco Brattka, Christiane Frougny, Norbert Mueller. Real numbers.. EDP Sciences, pp.140, 2007. <hal-00159984>

Vidéo2 documents

  • Christiane Frougny, Fanny Bastien, Vanille Beaumont. : École d’été 2013 - Théorie des nombres et dynamique. 2013. <medihal-01319339>
  • Christiane Frougny, Fanny Bastien, Vanille Beaumont. Christiane Frougny - Systèmes de numération et automates (Part 2) : École d’été 2013 - Théorie des nombres et dynamique. 2013. <medihal-01319344>