We study the pseudorandomness of automatic sequences in terms of well-distribution and correlation measure of order 2. We detect non-random behavior which can be derived either from the functional equations satisfied by their generating functions or from their generating finite automatons, respectively.
机构:
Claude Bernard Univ Lyon 1, Camille Jordan Inst, 11th November 1918 Blvd 43, F-69622 Villeurbanne, FranceClaude Bernard Univ Lyon 1, Camille Jordan Inst, 11th November 1918 Blvd 43, F-69622 Villeurbanne, France
Konieczny, Jakub
Lemanczyk, Mariusz
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Nicolaus Copernicus Univ, Fac Math & Comp Sci, Chopin St 12-18, PL-87100 Torun, PolandClaude Bernard Univ Lyon 1, Camille Jordan Inst, 11th November 1918 Blvd 43, F-69622 Villeurbanne, France
Lemanczyk, Mariusz
Mullner, Clemens
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TU Wien, Inst Discrete Math & Geometry, Wiedner Main St 8-10, A-1040 Vienna, AustriaClaude Bernard Univ Lyon 1, Camille Jordan Inst, 11th November 1918 Blvd 43, F-69622 Villeurbanne, France
机构:
Univ Claude Bernard Lyon 1, Inst Camille Jordan, CNRS, UMR 5208, F-69622 Villeurbanne, France
Univ Oxford, Dept Comp Sci, Oxford OX1 3QD, EnglandUniv Claude Bernard Lyon 1, Inst Camille Jordan, CNRS, UMR 5208, F-69622 Villeurbanne, France
机构:
Univ Strasbourg, Inst Rech Math Avancee, 7 Rue Rene Descartes, F-67084 Strasbourg, France
CNRS, 7 Rue Rene Descartes, F-67084 Strasbourg, FranceUniv Strasbourg, Inst Rech Math Avancee, 7 Rue Rene Descartes, F-67084 Strasbourg, France