On Atanassov's methods for discrepancy bounds of low-discrepancy sequences

International audienceThe aim of this survey paper is to give an updated overview of results on low dis- crepancy sequences obtained via Atanassov’s methods. These methods first initiated for Halton sequences have been later on extended to generalizations of these sequences and to (t, s)- sequences, the other well known family of low discrepancy sequences, including polynomial arithmetic analogues of Halton sequences