Extended Symbolic Dynamics: Some Applications and Future Perspectives
Pouya Mehdipour (Universidade Federal de Viçosa)
Abstract: We introduce zip shift maps as local homeomorphisms that extend symbolic dynamics of the two-sided shift type. Using examples of finite-to-one horseshoe maps, we show how these systems can be fully coded, up to topological conjugacy, by such symbolic structures. We also explore applications in ergodic theory, topological dynamics, and cellular automata, and discuss potential future directions for their development and use in related fields.
dynamical systems
Audience: researchers in the topic
Bremen Online Dynamics Seminar
Series comments: Talks are approx. 55 min plus discussion. Talks are not recorded.
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| Organizer: | Researchers from University of Bremen and Jacobs University Bremen |
| Curator: | Anke Pohl* |
| *contact for this listing |