CORDIS Project
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This project explores the intersection of group theory, computation, and dynamical systems using finite state automata. It aims to address fundamental problems in these fields and develop efficient algorithms while investigating properties of groups and their actions on mathematical structures.
This project lies at the nexus of complex and symbolic dynamics, group theory, decision problems and computation.
It aims to solve major problems in each of these fields by means of automatic actions and relations.Finite state automata, pervasive in theoretical computer science, will serve to define self-similar mathematical objects, and produce efficient algorithms to manipulate them. — I will explore a novel notion of automatically acting group, encompassing the previously unrelated notions of…
UNIVERSITAT DES SAARLANDES
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