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start [2026/04/15 15:37] – anna.fridstart [2026/05/13 19:31] (current) – anna.frid
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 ==== Upcoming talks ====  ==== Upcoming talks ==== 
 +
 +**POSTPONED <del>May 26 2026: Reem Yassawi</del>**
 +
 +**June 9 2026:  [[https://kmlinux.fjfi.cvut.cz/~balkolub/| Ľubomíra Dvořáková]]** //Attractors of sequences coding beta-integers//
 +
 +String attractor is an intensively studied object in Combinatorics on Words.
 +In our talk, we will recall known results and also some previously used techniques.
 +We will then describe minimal string attractors of prefixes of simple Parry sequences.
 +These sequences form a coding of distances between consecutive beta-integers in numeration systems with a real base beta.
 +Simple Parry sequences have been recently studied from this point of view and (not necessarily minimal) attractors of their prefixes have been described and a conjecture that attractors of alphabet size should be sufficient was stated. We prove this conjecture. Moreover, we provide attractors of prefixes of some particular form of binary non-simple Parry sequences.
 +
 +**June 23 2026: Benoit Cloitre**
 +
 +**July 7 2026: Delaram Moradi**
 +
 +==== Past talks 2026 ====
 +
 +
 +**May 12 2026: [[https://www-lmpa.univ-littoral.fr/~lvivion/|Léo Vivion]]** //New examples of words for which binomial complexities and subword complexity coincide//
 +
 +{{ seminar2026:20260512vivion.pdf |slides}}
 +
 +(The talk was not recorded at the speaker's request.)
 +
 +In 2015, Rigo and Salimov introduced a family of complexities that forms a scale between abelian complexity and factor complexity: the $k$-binomial complexities. In particular, they showed that Sturmian words satisfy the following remarkable combinatorial property: their $2$-binomial complexity is equal to their factor complexity. Since then, the only other known example satisfying this property is the Tribonacci word.
 +
 +In this talk, I will present some stability results for words whose $k$-binomial complexities coincide with their factor complexity, notably under letter deletion and a coloring operation. These stability properties allow to show that several well-known families of words also have their $2$-binomial complexity equal to their factor complexity.
 +
  
 **April 28 2026:  [[https://sites.google.com/ug.uchile.cl/espinoza|Bastiàn Espinoza]]** //The Thue-Morse word in base 3/2// **April 28 2026:  [[https://sites.google.com/ug.uchile.cl/espinoza|Bastiàn Espinoza]]** //The Thue-Morse word in base 3/2//
 +
 +{{ seminar2026:20260428espinoza.pdf |slides}}
 +
 +{{ seminar2026:20260428espinoza.mp4 |video of the talk}}
 +
  
 A rich family of symbolic dynamical systems of low complexity is given by automatic sequences. These sequences are obtained by feeding the base-$k$ expansions of integers, for a fixed integer base $k$, into a finite automaton. A rich family of symbolic dynamical systems of low complexity is given by automatic sequences. These sequences are obtained by feeding the base-$k$ expansions of integers, for a fixed integer base $k$, into a finite automaton.
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 This is joint work with Julien Cassaigne, Michel Rigo, and Manon Stipulanti. This is joint work with Julien Cassaigne, Michel Rigo, and Manon Stipulanti.
  
-**May 12 2026: Léo Vivion** 
  
-**May 26 2026: Reem Yassawi** 
- 
-**June 9 2026:  [[https://kmlinux.fjfi.cvut.cz/~balkolub/| Ľubomíra Dvořáková]]** //Attractors of sequences coding beta-integers// 
- 
- 
-**July 7 2026: Delaram Moradi** 
- 
-==== Past talks 2026 ==== 
  
 **April 14 2026: Idrissa Kaboré** //On modulo-recurrence and window complexity in infinite words// **April 14 2026: Idrissa Kaboré** //On modulo-recurrence and window complexity in infinite words//