### Journées Numération, Prague May 26-30 2008Doppler Institute, Czech Technical University

#### Monday 26.5.

 8:30 -  9:15 registration 9:15 -  9:30 opening 9:30 - 10:15 Marco Pedicini Critical constants for unique expansions in general alphabets 10:15 - 10:45 Christiane Frougny Univoque numbers and the Thue-Morse sequence 10:45 - 11:15 coffee break 11:15 - 11:45 Jean Pierre Gazeau Probabilistic aspects of beta-integers viewed as perturbations of integers 11:45 - 12:15 Ľubomíra Balková Asymptotic behavior of beta-integers 12:15 - 14:30 lunch break 14:30 - 15:15 Robert Tijdeman Fine and Wilf words 15:15 - 15:45 Julien Cassaigne On the number of $\alpha$-power-free words for $2 < \alpha \leq 7/3$ 15:45 - 16:15 coffee break 16:15 - 16:45 Zhi-Ying Wen Coincidence of two fixed points of invertible substitution over two letters 16:45 - 17:15 Karel Klouda Factor complexity of infinite words associated with $\beta$-expansions 17:15 - 17:45 Ondřej Turek Balance properties of infinite words associated with quadratic Pisot numbers 18:00 - welcome drink

#### Tuesday 27.5.

 9:30 - 10:15 Shigeki Akiyama Some applications of rational based number system 10:15 - 10:45 Taizo Sadahiro $(-\beta)$-expansions of real numbers 10:45 - 11:15 coffee break 11:15 - 11:45 Emilie Charlier A decision problem for ultimately periodic sets in non-standard numeration systems 11:45 - 12:15 Charlene Kalle Dynamical aspects of beta-expansions with deleted digits 12:15 - 14:30 lunch break 14:30 - 15:15 Michel Rigo Extensions and restrictions of Wythoff's game preserving Wythoff's sequence as set of $P$ positions 15:15 - 15:45 Peter J. Grabner Distribution properties of digital functions over the Gaussian integers 15:45 - 16:15 coffee break 16:15 - 16:45 Manfred Madritsch Properties of sets with digital restrictions 16:45 - 17:15 Ali Messaoudi Eigenvalues of Fibonacci stochastic adding machine

#### Wednesday 28.5.

 9:30 - 10:15 Jean-Louis Verger-Gaugry Rauzy fractals and equi-distribution of Galois and beta-conjugates of a Parry number near the unit circle 10:15 - 10:45 Pierre Liardet Harmonic properties of some linear automatic flows 10:45 - 11:15 coffee break 11:15 - 11:45 Jörg Thuswaldner Fundamental Groups of Rauzy Fractals 11:45 - 12:15 Benoît Loridant Crystallographic number systems

#### Thursday 29.5.

 9:30 - 10:15 Michael Rubinstein The distribution of solutions to $xy=N \mod a$ with an application to factoring integers 10:15 - 10:45 Yann Bugeaud On the digit changes in the $b$-ary expansion of an algebraic number 10:45 - 11:15 coffee break 11:15 - 11:45 Ionica Smeets Sharp bounds for symmetric and asymmetric Diophantine approximation 11:45 - 12:15 Christiaan van de Woestijne Algebraic aspects of number systems 12:15 - 14:30 lunch break 14:30 - 15:15 Özgür Yilmaz Alternative numeration systems for robust analog-to-digital conversion 15:15 - 15:45 Attila Pethő On the boundary of closure of the set of contractive polynomials 15:45 - 16:15 coffee break 16:15 - 16:45 Paul Surer Generalisation of Canonical Number Systems 16:45 - 17:15 Attila Kovács Some dynamical properties of generalized radix systems 19:00 - Conference diner

#### Friday 30.5.

 9:30 - 10:15 Benoît Rittaud Random Fibonacci sequences and a natural link between continued fractions and Fibonacci numeration system 10:15 - 10:45 Petr Kůrka Möbius number systems 10:45 - 11:15 coffee break 11:15 - 11:45 Valérie Berthé Multidimensional continued fractions and numeration