Normal numbers and nested perfect necklaces

M. B. Levin used Sobol–Faure low discrepancy sequences with Pascal triangle matrices modulo 2 to construct, a real number x such that the first N terms of the sequence (2 n xmod1) n≥1 have discrepancy O((logN) 2 ∕N). This is the lowest discrepancy known for this kind of sequences. In this note we ch...

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Detalles Bibliográficos
Autores principales: Becher, V., Carton, O.
Formato: JOUR
Materias:
Low discrepancy
Normal numbers
Perfect necklaces
Number theory
Binary expansions
DeBruijn sequences
Explicit method
Low-discrepancy sequences
Mathematical operations
Matrix algebra
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0885064X_v_n_p_Becher
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

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