Minoration de discrépance en dimension deux
Minoration de la discrépance à l'origine d'une suite quelconque
Minoration de la discrépance d'une suite quelconque sur T
Mischung und Ergodizität bei Kettenbrüchen nach nächsten Ganzen.
Mischungseigenschaften und Entropie beim Jacobischen Algorithmus.
Mischungsgeschwindigkeit für Ziffernentwicklungen nach reellen Matrizen
Mod 2 normal numbers and skew products
Let E be an interval in the unit interval [0,1). For each x ∈ [0,1) define dₙ(x) ∈ 0,1 by , where t is the fractional part of t. Then x is called a normal number mod 2 with respect to E if converges to 1/2. It is shown that for any interval E ≠(1/6, 5/6) a.e. x is a normal number mod 2 with respect to E. For E = (1/6, 5/6) it is proved that converges a.e. and the limit equals 1/3 or 2/3 depending on x.
Modifications de nombres normaux par des transducteurs
Module de continuité de la fonction de répartition de φ(n)/n
Moment convergence and the law of iterated logarithm for additive functions
Moments of additive functions and special sets
Monotone subsequences in the sequence of fractional parts of multiples of an irrational.
Multi-continued fraction algorithm on multi-formal Laurent series
Multiplicative functions and Brun's sieve
Multiplicative zero-one laws and metric number theory
We develop the classical theory of Diophantine approximation without assuming monotonicity or convexity. A complete 'multiplicative' zero-one law is established akin to the 'simultaneous' zero-one laws of Cassels and Gallagher. As a consequence we are able to establish the analogue of the Duffin-Schaeffer theorem within the multiplicative setup. The key ingredient is the rather simple but nevertheless versatile 'cross fibering principle'. In a nutshell it enables us to 'lift' zero-one laws to higher...