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Die Theorie der Gleichverteilung modulo 1 beschäftigt sich mit dem Verteilungsverhalten von Folgen reeller Zahlen. Eine Folge heißt gleichverteilt modulo 1, wenn die relative Anzahl an Folgengliedern in einem Intervall gegen die Länge dieses Intervalls konvergiert. (de) In mathematics, a sequence (s1, s2, s3, ...) of real numbers is said to be equidistributed, or uniformly distributed, if the proportion of terms falling in a subinterval is proportional to the length of that subinterval. Such sequences are studied in Diophantine approximation theory and have applications to Monte Carlo integration. (en) En mathématiques, une suite de nombres réels est dite équidistribuée ou uniformément répartie si la proportion de termes qui se retrouvent dans un sous-intervalle est proportionnelle à la longueur de cet intervalle. De telles suites sont étudiées dans la théorie approximation diophantienne et dans diverses applications de la méthode de Monte-Carlo. (fr) 균등분포 수열(equidistributed sequence)은 부분간격 범위에 속한 항 개수의 비율이 그 간격의 길이에 비례하는 수열이다. (ko) |
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http://terrytao.wordpress.com/books/higher-order-fourier-analysis/ http://www.maths.manchester.ac.uk/~cwalkden/ergodic-theory/lecture06.pdf |
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Equidistributed Sequence (en) Weyl's Criterion (en) |
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EquidistributedSequence (en) WeylsCriterion (en) |
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Die Theorie der Gleichverteilung modulo 1 beschäftigt sich mit dem Verteilungsverhalten von Folgen reeller Zahlen. Eine Folge heißt gleichverteilt modulo 1, wenn die relative Anzahl an Folgengliedern in einem Intervall gegen die Länge dieses Intervalls konvergiert. (de) In mathematics, a sequence (s1, s2, s3, ...) of real numbers is said to be equidistributed, or uniformly distributed, if the proportion of terms falling in a subinterval is proportional to the length of that subinterval. Such sequences are studied in Diophantine approximation theory and have applications to Monte Carlo integration. (en) En mathématiques, une suite de nombres réels est dite équidistribuée ou uniformément répartie si la proportion de termes qui se retrouvent dans un sous-intervalle est proportionnelle à la longueur de cet intervalle. De telles suites sont étudiées dans la théorie approximation diophantienne et dans diverses applications de la méthode de Monte-Carlo. (fr) 균등분포 수열(equidistributed sequence)은 부분간격 범위에 속한 항 개수의 비율이 그 간격의 길이에 비례하는 수열이다. (ko) |
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Gleichverteilung modulo 1 (de) Equidistributed sequence (en) Suite équidistribuée (fr) 균등분포 수열 (ko) |
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