Transformations, Dynamics and Complexity
Nikolaj Glazunov
TL;DR
This paper reviews recent developments in dynamical systems, focusing on transformations, group actions, and complexity, highlighting new problems and results across various types of systems.
Contribution
It introduces new problems and results in the study of dynamical systems, including various transformations and complexity aspects, expanding understanding of system behaviors.
Findings
New results on {eta}-transformations and partitions
Analysis of complexity in bundle dynamical systems
Insights into Hasse-Kloosterman maps
Abstract
We review and investigate some new problems and results in the field of dynamical systems generated by iteration of maps, {\beta}-transformations, partitions, group actions, bundle dynamical systems, Hasse-Kloosterman maps, and some aspects of complexity of the systems.
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Taxonomy
TopicsMathematical Dynamics and Fractals · semigroups and automata theory · Computability, Logic, AI Algorithms