Arithmetic analogues of Hamiltonian systems
Alexandru Buium
TL;DR
This paper reviews and explores arithmetic analogues of Hamiltonian systems, aiming to unify different examples and suggest new connections within this mathematical framework.
Contribution
It provides a comprehensive review and introduces new insights into the relationships among various arithmetic Hamiltonian analogues.
Findings
Proposes potential unification of arithmetic Hamiltonian systems
Identifies new connections among existing analogues
Suggests directions for future research in arithmetic dynamics
Abstract
The paper reviews various arithmetic analogues of Hamiltonian systems and presents some new facts suggesting ways to relate/unify these examples.
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Taxonomy
TopicsControl and Stability of Dynamical Systems · Quantum chaos and dynamical systems