The categorical basis of dynamical entropy

DOI10.1007/s10485-024-09763-2arXiv2301.09205OpenAlexW4392580606MaRDI QIDQ6196225

Suddhasattwa Das

Publication date: 14 March 2024

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.09205

zbMATH Keywords

topological entropypreordercomma categoryKan extensionopen covers

Mathematics Subject Classification ID

Topological entropy (37B40) Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30) Preorders, orders, domains and lattices (viewed as categories) (18B35) Functor categories, comma categories (18A25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A characterization of entropy in terms of information loss
• Arrow categories
• Topological pressure and the variational principle for noncompact sets
• Categorically algebraic foundations for homotopical algebra
• A synthetic version of Lie's second theorem
• Categorical and combinatorial aspects of descent theory
• Intrinsic ergodicity beyond specification: \({\beta}\)-shifts, \(S\)-gap shifts, and their factors
• Local presentability of certain comma categories
• Landmark diffusion maps (L-dMaps): accelerated manifold learning out-of-sample extension
• Limit and end functors of dynamical systems via exterior spaces
• Categorical Homotopy Theory
• A variational principle for discontinuous potentials
• A Variational Principle for the Pressure of Continuous Transformations
• A categorical view of Poincaré maps and suspension flows
• Computability of topological pressure on compact shift spaces beyond finite type*

This page was built for publication: The categorical basis of dynamical entropy