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math.NT2015
Discrepancy of generalized -sequences
Maria Rita Iacò, Volker Ziegler
The -sequences are a parametric family of sequences of points in the unit interval. They were introduced by Carbone, who also proved that under an appropriate choice of the par…
math.OC2015
Distribution functions, extremal limits and optimal transport
Maria Rita Iacò, Stefan Thonhauser, Robert F. Tichy
Encouraged by the study of extremal limits for sums of the form with uniformly distributed sequences th…
math.NT2015
Low discrepancy sequences: Theory and Applications
Maria Rita Iacò
The main topic of this present thesis is the study of the asymptotic behaviour of sequences modulo 1. In particular, by using ergodic and dynamical methods, a new insight to proble…