12 citations · 34 across the 20 of their papers we have counts for
16 papers · 1 filter
On simply normal numbers with digit dependencies
Verónica Becher, Agustín Marchionna, Gérald Tenenbaum
Given an integer and a set of prime numbers, the set of Toeplitz numbers comprises all elements of whose digits in the base…
A construction of a - Poisson generic sequence
Verónica Becher, Gabriel Sac Himelfarb
Years ago Zeev Rudnick defined the -Poisson generic sequences as the infinite sequences of symbols in a finite alphabet where the number of occurrences of long words in the init…
Poisson generic sequences
Nicolás Álvarez, Verónica Becher, Martín Mereb
Years ago, Zeev Rudnick defined the Poisson generic real numbers by counting the number of occurrences of long blocks of digits in the initial segments of the expansions of the rea…
Insertion in constructed normal numbers
Verónica Becher
Defined by Borel, a real number is normal to an integer base , greater than or equal to , if in its base- expansion every block of digits occurs with the same limiting fre…
Completely uniformly distributed sequences based on de Bruijn sequences
Emilio Almansi, Verónica Becher
We study a construction published by Donald Knuth in 1965 yielding a completely uniformly distributed sequence of real numbers. Knuth's work is based on de Bruijn sequences of incr…
Low discrepancy sequences failing Poissonian pair correlations
Verónica Becher, Olivier Carton, Ignacio Mollo Cunningham
M. Levin defined a real number that satisfies that the sequence of the fractional parts of are such that the first terms have discrepancy $O((\log N)^2/…