2009/04/17 by Ursula Molter, Molter, Ursula, Ezequiel Rela +1
Computer Science · Mathematics · #28A78 #28A80 #Advanced Mathematical Modeling in Engineering #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #Computational Geometry and Mesh Generation #FOS: Mathematics #Mathematical Approximation and Integration #math.CA #math.CO #msc:28A78 #msc:28A80
paper · pdf · doi:10.48550/arxiv.0904.2710
16 pages, 3 figures
openalex publication_date 2009/04/17 · arxiv created 2009/11/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we prove some lower bounds on the Hausdorff dimension of sets of Furstenberg type. Moreover, we extend these results to sets of generalized Furstenberg type, associated to doubling dimension functions. With some additional growth conditions on the dimension function, we obtain a lower bound on the dimension of "zero dimensional" Furstenberg sets.