Symbolic dynamics, tiling dynamical systems and dynamics on the set of p-adic integers share a common feature: they are defined or involve Cantor sets. This school will focus on these dynamical systems. Symbolic dynamics is an intensively studied area since the 70's that has a lot of strong connections with computer science, geometric dynamical systems, ergodic theory, numeration systems, number theory, automata theory, etc. The school will propose introductions to these topics and in particular to cellular automata, shift of finite type, substitutions, Bratteli diagrams, etc.

Cette école est réalisée en priorité pour les étudiants souhaitant s'engager dans une thèse de doctorat, aux doctorants et aux jeunes chercheurs. La langue de l'école est l'anglais.

Les conférences seront données à l'AULA VIRTUAL DE LA FACULTAD DE CIENCIAS EXACTAS sur le campus de l'Universidad Nacional de Salta.

COURSES

Fabien DURAND (U. Picardie Jules Verne, France) : Systèmes dynamiques substitutifs et applications

Karl PETERSEN (University of North Carolina, United States) : Mesure de la complexité des dynamiques définies sur des Cantor (pour une version résumé, cliquez ici)

Ai-Hua FAN (U. Picardie Jules Verne, France) : Dynamique sur l'ensemble des entiers p-adiques

Mathieu SABLIK (Aix-Marseille U., FRANCE) : Sous-décalages à plusieurs dimensions: liens entre dynamique et calculabilité

Ayse SAHIN (Wright State U., United States) : Tours en théorie ergodique

Alejandro MAASS (U. Chile, Chile) : Dynamique des automates cellulaires

Vincent DELECROIX (LABRI, CNRS, France), Jorge YAZLLE (U. Salta, Argentina) : Initiation au Logiciel SAGE

• Voir la page Euler Project pour des stimulants exercices.
• Pavages substitutifs avec SAGE.
• Exercices sur mots sturmiens avec SAGE.

Maria Isabel CORTEZ (U. Santiago, Chile) : Groupes pleins pour des dynamiques définies sur des Cantor

Valérie BERTHE (LIAFA, CNRS, France) : Substitutions de type Pisot

Vincent DELECROIX (LABRI, CNRS, France) : Suites sturmiennes, échanges d'intervalles, billards, surfaces de translations et flots de Teichmuller

Samuel PETITE (U. Picardie Jules Verne, France) : Pavages linéairement répétitifs

INDIVIDUAL TALKS

Leandro ZUBERMAN (U. Mar del Plata, Argentina), Kathryn HARE and Franklin MENDIVIL: Packing and Hausdorff measures of Cantor sets associated with series. 

Felipe GARCÍA-RAMOS (I.M.P.A.-U. Sao Paulo, Brazil) and Brian MARCUS: Mean sensitive dependance on initial conditions.

Michael SCHRAUDNER (C.M.M.-U. de Chile, Chile) and Ville SALO: Automorphism groups of "small" subshifts.

FOR THOSE WHO RESIDE IN ARGENTINA:

1. 1. Follow the registration link (at left on this page), create an account (or log in with your user name and password, if you already have an account on SciencesConf.org or HAL) and fill out the form.
   2. Finally, send a short CV and a motivation letter (both documents signed and digitalized) to the address

yazlle@unsa.edu.ar

Deadline for registration: September 13, 2015.

Registration fee: NONE.

Financial support: Funds from MinCyT (Argentinian Science–Technology Ministry) are available for supporting travel and living expenses for a certain number of accepted students residing in Argentina, outside Salta city. To apply for this support, after registration please send two recommendation letters (including signature and email address of who makes the recommendation) digitalized, to the address indicated above (deadline July 31, 2015). When applying to financial support, let us know an estimation for your travel expenses.

FOR THOSE WHO RESIDE OUTSIDE ARGENTINA:

1. 1. Register at CIMPA, filling out a form that you can browse to
      

      http://www.cimpa-icpam.org/spip.php?rubrique8

      (follow the link students.cimpa.info, create your own account and fill out the form).

   2. Afterwards, follow the registration link (at left on this page), create another account there (or log in with your user name and password, if you already have an account on SciencesConf.org or HAL) and fill out the form.
   3. Finally, send a short CV and a motivation letter (both documents signed and digitalized) to the address

      yazlle@unsa.edu.ar

Deadline for registration: September 13, 2015.

Registration fee: Collected uniquely by CIMPA. Participants from developing countries can require to be exempted – their demand will be automatically accepted. Other exemption requirements will be considered case by case.

Financial support: Funds from CIMPA are available for supporting travel and lodging expenses for a certain number of accepted students residing in countries neighbouring Argentina. To apply for this support, after registration please send two recommendation letters (including signature and email address of who makes the recommendation) digitalized to the address indicated above (deadline September 13, 2015). If accepted, CIMPA also cover the registration fee. When applying to financial support, let us know an estimation for your travel expenses.