Encoding \(n\)-to-1 Baker's transformations

DOI10.1007/s00013-022-01743-zOpenAlexW4285391563MaRDI QIDQ2161410

Pouya Mehdipour, Neemias Silva Martins

Publication date: 4 August 2022

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-022-01743-z

zbMATH Keywords

ergodicityBernoulli transformationnon-invertible Baker's transformation

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Ergodicity, mixing, rates of mixing (37A25) Symbolic dynamics (37B10)

Cites Work

• Unnamed Item
• Unnamed Item
• Conceptions of topological transitivity
• Smooth ergodic theory for endomorphisms
• Quantum variance and ergodicity for the baker's map
• Chaos, fractals, and noise: Stochastic aspects of dynamics.
• On the nature of turbulence
• Sufficient conditions under which a transitive system is chaotic
• Fat baker's transformations
• Foundations of Ergodic Theory
• On Devaney's Definition of Chaos
• Dynamical systems with generalized hyperbolic attractors: hyperbolic, ergodic and topological properties
• Dimension and invertibility of hyperbolic endomorphisms with singularities
• Statistical properties of 2‐D generalized hyperbolic attractors
• Ergodic theory of chaos and strange attractors