2013/11/21 by Artur Avila, Avila, Artur, Pascal Hubert +3 · 2 citations
Mathematics · #37E05 #37E35 #Advanced Differential Equations and Dynamical Systems #Advanced Topology and Set Theory #Analytic and geometric function theory #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals
paper · pdf · doi:10.48550/arxiv.1311.5361
openalex publication_date 2013/11/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we prove that the Hausdorff dimension of the Rauzy gasket is less than 2. By this result, we answer a question addressed by Pierre Arnoux. Also, this question is a very particular case of the conjecture stated by S.P. Novikov and A. Ya. Maltsev in 2003.