From barcode entropy to metric entropy
Abstract
Abstract We establish a connection between barcode entropy and metric entropy. Namely, we show that the barcode entropy bounds the metric entropy from below for a measure from a specific class of invariant measures associated with a pair of Lagrangian or Legendrian submanifolds, which we call pseudo-chord measures . This inequality refines, via the variational principle, the previously known upper bound of barcode entropy by topological entropy.
Fields of Study & Subjects
Mathematical Dynamics and Fractals
Statistical Mechanics and Entropy
Quantum chaos and dynamical systems
Publication details
- Journal / source
- Journal of Fixed Point Theory and Applications
- Publisher
- Springer Science and Business Media LLC
- Volume
- 28
- Issue
- 2
- Publication date
- 26 May 2026
- Language
- EN