S-adic version of Minkowski's geometry of numbers and Mahler's\n compactness criterion

2011/11/01 by Dmitry Kleinbock, Kleinbock, Dmitry, Ronggang Shi +3 · 1 citation
Computer Science · Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Topological and Geometric Data Analysis #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1111.0163

openalex publication_date 2011/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note we give a detailed proof of certain results on geometry of\nnumbers in the S-adic case. These results are well-known to experts, so the\naim here is to provide a convenient reference for the people who need to use\nthem.\n

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