Évènement

Bastián Espinoza
I2M
https://sites.google.com/ug.uchile.cl/espinoza/

Date(s) : 06/10/2026   iCal
11h00 - 12h00

Amorphic complexity is a numerical dynamical invariant introduced to quantify complexity, with motivations coming in particular from the study of aperiodic order and quasicrystals.
Its explicit computation is however technically challenging, even for relatively simple dynamical systems.
Krawczyk and Gröger recently obtained a closed formula for the amorphic complexity of minimal automatic systems, a class of substitutive symbolic systems that are finite-to-one extensions of odometers.
In this talk, I present an extension of their formula to a broader class of symbolic finite-to-one extensions of odometers.
Although these systems share a similar dynamical structure, extending the formula requires several new tools and techniques.
These methods appear to be sufficiently flexible to apply more broadly to other classes of symbolic dynamical systems.

Emplacement
I2M Luminy - TPR2, Salle de Séminaire 304-306 (3ème étage)

Catégories

• Séminaire