Dimension and Entropy Computations for L(F_r)

2003/02/15 by Kenley Jung, Jung, Kenley
Mathematics · #28A78 #46L54 #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Mathematical Dynamics and Fractals #Operator Algebras (math.OA) #Random Matrices and Applications #math.OA #msc:28A78 #msc:46L54

paper · pdf · doi:10.48550/arxiv.math/0302179

9 pages

arxiv created 2003/02/15 · openalex publication_date 2003/02/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that certain generating sets of Dykema and Radulescu for L(F_r) have free Hausdorff dimension r and nondegenerate free Hausdorff r-entropy

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