The Hausdorff dimension spectrum of Conformal Graph Directed Markov Systems and applications to Nearest Integer continued fractions

2015/05/22 by Andrei E. Ghenciu, Ghenciu, Andrei E., Sara Munday +3
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Mathematical Dynamics and Fractals #Stochastic processes and statistical mechanics #math.DS

paper · pdf · doi:10.48550/arxiv.1505.06229

arxiv created 2015/05/22 · openalex publication_date 2015/05/22 · arxiv updated 2015/05/26 · openalex created_date 2022/10/06 · openalex updated_date 2026/07/28

Abstract

In this paper, we consider two dynamical systems associated to the nearest integer continued fraction, and show that both of them have full Hausdorff dimension spectrum.

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