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A Generalization of Martingales and Mixing Sequences

✍ Scribed by D. L. McLeish


Book ID
125059055
Publisher
Applied Probability Trust
Year
1975
Tongue
English
Weight
286 KB
Volume
7
Category
Article
ISSN
0001-8678

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On a Generalization of Farey Sequences,
✍ F. Delmer; J.M. Deshouillers πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 230 KB

A generalization of Farey sequences to quadratic irrational numbers is given, for which the (fundamental) discriminant property of Farey sequences is shown to hold on average. This is the first positive result connected with a phenomenon observed by H. Brown and K. Mahler more than 20 years ago. 199