Numeration 2016

May 23–27 2016
Czech Technical University in Prague

The conference

The goal of this workshop is to bring together researchers interested in interactions between numeration systems, ergodic theory, number theory and combinatorics.

The topics involved cover:

  • 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

Satellite workshop

A Sage days will be held as a satellite event on May 21–22 (just before the conference).

The workshop is for the participants interested in the open-source SageMath computer algebra system ( The basic topics covered by the workshop will be a general introduction to SageMath (newcomers are welcome!), SageMath's capabilities in the field of numeration (for instance the automata library will be presented), and SageMath development. We would also like to encourage participants of the conference to present how they use SageMath (or any other computer algebra system) in their research.

Important dates

  • September 2015: First announcement
  • March 15, 2016: Deadline for submission of abstracts of talks
  • April 1, 2016: Acceptance notification
  • April 15, 2016: Final version of abstracts
  • May 1, 2016: Deadline for registration

Contact address

Petr Ambrož
Department of Mathematics
Faculty of Nuclear Sciences and Physical Engineering
Czech Technical University in Prague
Trojanova 13
120 00 Prague

phone: +420 224 358 569
web site:

Previous conferences