2024/11/10 by Frank Trujillo, Trujillo, Frank
Engineering · #Dynamical Systems (math.DS) #FOS: Mathematics #Scheduling and Optimization Algorithms
paper · pdf · doi:10.48550/arxiv.2411.06419
openalex publication_date 2024/11/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
We prove that for almost every irreducible interval exchange transformation T and for any vector ω in its associated central-stable space (with respect to the Kontsevich-Zorich cocycle) there exists a unique AIET, up to normalization of its domain, semi-conjugated to T and whose log-slope vector equals ω. This provides a partial answer to a question raised by S. Marmi, P. Moussa, and J.-C. Yoccoz.