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Content archived on 2024-05-28

AUTOMORPHISMS AND PERIODIC POINTS FOR MULTIDIMENSIONAL SHIFTS OF FINITE TYPE

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.

Topic(s)

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Call for proposal

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FP7-PEOPLE-2012-CIG
See other projects for this call

Funding Scheme

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MC-CIG - Support for training and career development of researcher (CIG)

Coordinator

BEN-GURION UNIVERSITY OF THE NEGEV
EU contribution
€ 100 000,00
Total cost

The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.

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