Discrete Dynamical Systems From Real Valued Mutation
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Publication:6564876
DOI10.1080/10586458.2022.2065555MaRDI QIDQ6564876
John Machacek, Nicholas Ovenhouse
Publication date: 1 July 2024
Published in: Experimental Mathematics (Search for Journal in Brave)
Cluster algebras (13F60) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39) Relations of finite-dimensional Hamiltonian and Lagrangian systems with Lie algebras and other algebraic structures (37J37) Integrable difference and lattice equations; integrability tests (39A36)
Cites Work
- Discrete integrable systems, positivity, and continued fraction rearrangements
- Cluster-cyclic quivers with three vertices and the Markov equation. (With an appendix by Otto Kerner).
- Cluster algebras. II: Finite type classification
- Factorization dynamics and Coxeter-Toda lattices
- Universal geometric cluster algebras
- Geometry of mutation classes of rank 3 quivers
- Cluster algebras I: Foundations
- T-systems andY-systems in integrable systems
- Cluster algebras IV: Coefficients
- Hamiltonian and Lagrangian formalisms of mutations in cluster algebras and application to dilogarithm identities
- On the Approximate Periodicity of Sequences Attached to Non-Crystallographic Root Systems
- Synchronicity phenomenon in cluster patterns
- Asymptotic Sign Coherence Conjecture
- Introduction to Cluster Algebras
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