CORDIS Project
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This project investigates universality in Topological Dynamics, focusing on the implications of mean dimension and periodic dimension for embedding in dynamical systems. It aims to advance understanding in various mathematical fields, including Symbolic Dynamics and Mathematical Physics.
The aim of the project is to investigate the phenomenon of universality in Topological Dynamics.
Universality is a classical and fundamental subject in Dimension Theory.
The introduction of universality to the context of dynamics is more recent but has already proven itself to be fruitful.
The far reaching Lindenstrauss -Tsukamoto Conjecture is the claim that mean dimension and periodic dimension are the only obstructions for embedding in the dynamical context.
Mean dimension is an invariant int…
INSTYTUT MATEMATYCZNY POLSKIEJ AKADEMII NAUK
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