Conference Topics
Journees Numeration or Numeration Conference series focus on properties of numeration systems.
- General numeration systems
- Geometric representations, Rauzy fractals, tilings
- Representations of operations in Pisot base by finite automata
- Sofic systems associated with Pisot numbers
- Redundant representations and cryptography
- Shift-radix systems
- Abstract number systems
- Beta-integers and their combinatorial properties
- Spectra and spectral measures associated with numeration
- Sums of digits for classical and non-classical numerations, associated fractals
- Analytic and probabilistic study of arithmetic functions related to numeration
- Combinatorics on words and Diophantine approximation
- Algebraic and transcendental numbers linked with beta-numeration
Surveys
Several surveys and books cover topics around Numeration Systems and their properties from many perspectives, among others we refers to:
- Formal Languages, Automata and Numeration Systems, by M. Rigo;
- Topological properties of Rauzy fractals Anne Siegel, Jörg M. Thuswaldner
- Physics and Theoretical Computer Science: From Numbers and Languages to (quantum) Cryptography Security Jean-Pierre Gazeau, Jaroslav Nešet&řil, Branislav Rovan, IOS Press, 2007.
Previous Conferences
Journées Numération, Pavages, Substitutions - Grenoble, France (2005)
Journées de Numération - Graz, Austria (2007)
Journées Numération - Prague, Czech Republic (2008)
Numeration: Mathematics and Computer Science - Marseille, France (2009)
Numeration – Leiden, Netherlands (2010)
Numération – Liège, Belgium (2011)
Numeration and Substitution - Kyoto, Japan (2012)
Numeration and Substitution - Debrecen, Hungary (2014)
Numeration - Nancy, France (2015)
Numeration - Prague, Czech Republic (2016)