Binomial-coefficient multiples of irrationals

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dc.creatorAdams, Terrence M.
dc.creatorPetersen, Karl E.
dc.date1998-06-18
dc.date.accessioned2026-07-07T05:25:06Z
dc.date.available2026-07-07T05:25:06Z
dc.descriptionDenote by $x$ a random infinite path in the graph of Pascal's triangle (left and right turns are selected independently with fixed probabilities) and by $d_n(x)$ the binomial coefficient at the $n$'th level along the path $x$. Then for a dense $G_δ$ set of $θ$ in the unit interval, $\{d_n(x)θ\}$ is almost surely dense but not uniformly distributed modulo 1.
dc.description10 pages, to appear in Monatshefte f. Math
dc.identifierhttps://arxiv.org/abs/math/9806098
dc.identifierhttp://arxiv.org/abs/math/9806098
dc.identifierMontashefte f. Mathematik 125 (1998), 269-278.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77057
dc.subjectDynamical Systems
dc.subjectNumber Theory
dc.titleBinomial-coefficient multiples of irrationals
dc.typetext

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