APPMSFT
AUTOMORPHISMS AND PERIODIC POINTS FOR MULTIDIMENSIONAL SHIFTS OF FINITE TYPE
| Coordinatore | BEN-GURION UNIVERSITY OF THE NEGEV
Organization address
address: Office of the President - Main Campus contact info |
| Nazionalità Coordinatore | Israel [IL] |
| Totale costo | 100˙000 € |
| EC contributo | 100˙000 € |
| Programma | FP7-PEOPLE
Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) |
| Code Call | FP7-PEOPLE-2012-CIG |
| Funding Scheme | MC-CIG |
| Anno di inizio | 2013 |
| Periodo (anno-mese-giorno) | 2013-10-01 - 2017-09-30 |
Partecipanti
| # | ||||
|---|---|---|---|---|
| 1 |
BEN-GURION UNIVERSITY OF THE NEGEV
Organization address
address: Office of the President - Main Campus contact info |
IL (BEER SHEVA) | coordinator | 100˙000.00 |
Mappa
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Obiettivo del progetto (Objective)
'Within the framework of Symbolic Dynamics, we propose to study the automorphisms of Multidimensional Shifts of Finite Type. We propose to explore certain algebraic invariants, analogous to the Dimension-Representation and the Gyration Numbers for automorphisms of one-dimensional Shifts of Finite Type. Our aim is to utilize the above invariants and confront certain natural problems related to these automorphisms: Extending an automorphism of a finite subsystem and generating an automorphism by finite-order ``eventual automorphisms'. Our project has direct implications in the context of Multidimensional Cellular Automata. Namely, the existence of block representation for multidimensional invertible cellular automata and the admissibility of a given set periodic orbits in a multidimensional invertible cellular automata.'