2014/11/12 by Roberto Venegeroles, Venegeroles, Roberto
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Chaotic Dynamics (nlin.CD) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Numerical Methods and Algorithms #Stability and Controllability of Differential Equations #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #math.DS #nlin.CD
paper · pdf · doi:10.48550/arxiv.1411.3066
5 pages, 1 figure
arxiv created 2014/11/12 · openalex publication_date 2014/11/12 · arxiv updated 2014/11/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We propose an inverse approach for dealing with interval maps based on the manner whereby their branches are related (folding property), instead of addressing the map equations as a whole. As a main result, we provide a symmetry-breaking framework for determining topological conjugacy of interval maps, a well-known open problem in ergodic theory. Implications thereof for the spectrum and eigenfunctions of the Perron-Frobenius operator are also discussed.