Numeration 2016

May 23–27 2016
Czech Technical University in Prague

Scientific program

Download here (program.pdf) the current version of the program.


Monday, May 23

8:30 Registration
9:25 Conference opening
Session chair: Manfred Madritsch
9:30 Horst Brunotte (Invited talk)
Algebraic Aspects of Canonical Number Systems
10:30 Attila Pethő
Algorithmic Theoretical Questions on Canonical Number Systems and Shift Radix Systems
11:00 Coffee break
Session chair: Manfred Madritsch
11:30 Attila Kovács, Péter Hudoba
Some Improvements on Number Expansion Computations
12:00 Dávid Bóka, Péter Burcsi
Reconstruction of Matrix-Based Numeration Systems from Some Expansions
12:30 Daniel Krenn
From Redundant Digit Expansions via Continued Fractions to (Non-)Minimal Expansions
13:00 Lunch
Session chair: Attila Pethő
15:00 Christoph Bandt
Kneading Sequences, Bernoulli Convolutions, and Beta-Numeration
15:30 Wolfgang Steiner
Permutations and Negative Beta-Shifts
16:00 Coffee break
Session chair: Attila Pethő
16:30 Christiane Frougny, Edita Pelantová
Beta-Representations of 0 and Pisot Numbers
17:00 Marta Brzicová, Christiane Frougny, Edita Pelantová, Milena Svobodová
On-line Mutliplication and Division in Number Systems with Complex Bases
18:00 Welcome drink

Tuesday, May 24

Session chair: Kevin Hare
9:00 Artūras Dubickas (Invited talk)
Pisot Numbers and Their Conjugates
10:00 Jonas Jankauskas
Pisot-Salem Numbers, Interlacing and {0,1}-words
10:30 Coffee break
Session chair: Kevin Hare
11:00 Johannes Schleischitz
Distribution Modulo 1 and the Cardinality Gap Phenomenon
11:30 Tomáš Vávra
Eventually Periodic Representations in Positional Number Systems
12:00 Jean-Louis Verger-Gaugry
On Height One Trinomials and Limit Dynamical Zeta Functions
12:30 Lunch
Session chair: Edita Pelantová
14:30 Nikita Sidorov (Invited talk)
Self-Affine Sets: Topology, Uniqueness, Simultaneous Expansions
15:30 Francesco Dolce
Return Words and Palindromes in Specular Sets
16:00 Coffee break

Wednesday, May 25

Session chair: Christiane Frougny
9:00 David Matula (Invited talk)
Freezing Arithmetic Algorithms into Foundational Number Representation Theorems
10:00 Jordan Emme, Alexander Prikhodko
On the Density of Sets Defined by Sum-of-Digit Function in Base 2
10:30 Coffee break
Session chair: Christiane Frougny
11:00 Hirohito Inoue, Shoichi Kamada, Koichiro Naito, Keisuke Shiromoto
Simultaneous Approximation Problems and Knapsack Cryptosystems in p-Adic Numberlands
11:30 Radhakrishnan Nair
On Distribution of Subsequences of the Natural Numbers on the p-Adic Integers
18:00 Visit of Kepler Museum in Prague
19:00 Conference dinner

Thursday, May 26

Session chair: Wolfgang Steiner
9:00 Simon Baker
Unique Expansions and Intersections of Cantor Sets
9:30 William Mance
Normality of Different Orders for the Cantor Series Expansions
10:00 Rafael Alcaraz Barrera
Topological Eransitivity and Entropy Unique Beta-Expansions
10:30 Coffee break
Session chair: Wolfgang Steiner
11:00 DoYong Kwon
Sturmian Word and Cantor Set Arising from Unique Expansions over Ternary Alphabets
11:30 Kan Jiang
Multiple Expansions of Real Numbers with Digits Set {0,1,q}
12:00 Vilmos Komornik, Marco Pedicini
Critical Bases for Ternary Alphabets
12:30 Lunch
Session chair: Petr Kůrka
14:30 Anne Bertrand-Mathis
Rauzy Tilings in the Light of Uniform Distribution: +beta Case and −beta Case
15:00 Bernd Sing
Exploring the Intersection of the Pieces of Rauzy Fractals
15:30 Coffee break
Session chair: Petr Kůrka
16:00 Manfred Madritsch
The Hausdorff Dimension of Non-Normal Numbers
16:30 Kevin Hare
Base d Expansions with Digits 0 to q−1

Friday, May 27

Session chair: Marco Pedicini
9:00 Aviezri S. Fraenkel
Numeration Systems and Their Uses
9:30 Lukas Spiegelhofer, Michael Walner
Divisibility of Binomial Coefficients by Powers of Two
10:00 Tamás Krutki, Gábor Nagy
On Simultaneous Number Systems with 3 Bases
10:30 Coffee break
Session chair: Marco Pedicini
11:00 Paul Surer
Substitutions, Shifts of Finite Type, and Numeration
11:30 Maria Rita Iacò
Two Properties Related to Beta-Expansions
12:00 Štěpán Starosta
Continued Fractions and Spectra of Certain Operators
12:30 Conference closing