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An elementary proof of a lower bound for the inverse of the star discrepancy
Institution:1. Department of Mathematical and Statistical Sciences, University of Alberta Edmonton, Alberta T6G 2G1, Canada;2. Department of Mathematics, University of Manitoba, Winnipeg, MB, R3T 2N2, Canada;3. Department of Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, UK;4. University of South Carolina, 1523 Greene St., Columbia SC, 29208, USA;5. Moscow Center for Fundamental and Applied Mathematics, Russian Federation;6. Steklov Institute of Mathematics, Russian Federation;7. Lomonosov Moscow State University, Russian Federation;8. Centre de Recerca Matemàtica, Campus de Bellaterra, Edifici C, 08193 Bellaterra (Barcelona), Spain;9. ICREA, Pg. Lluís Companys 23, 08010 Barcelona, Spain;10. Universitat Autònoma de Barcelona, Spain;1. School of Engineering, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656, Japan;2. Graduate School of Advanced Science and Engineering, Hiroshima University, 1-3-1 Kagamiyama, Higashi-Hiroshima City, Hiroshima 739-8526, Japan;1. Universidad Nacional de Hurlingham, Instituto de Tecnología e Ingeniería, Av. Gdor. Vergara 2222 (B1688GEZ), Villa Tesei, Buenos Aires, Argentina;2. Instituto del Desarrollo Humano, Universidad Nacional de General Sarmiento, J.M. Gutiérrez 1150 (B1613GSX), Los Polvorines, Buenos Aires, Argentina;3. National Council of Science and Technology (CONICET), Argentina;4. Instituto de Ciencias, Universidad Nacional de General Sarmiento, J.M. Gutiérrez 1150 (B1613GSX), Los Polvorines, Buenos Aires, Argentina
Abstract:
Keywords:Star discrepancy  Inverse  Curse of dimensionality
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