17 citations · 27 across the 12 of their papers we have counts for
14 papers
Parallel approximation of the exponential of Hermitian matrices
Frédéric Hecht, Sidi-Mahmoud Kaber, Lucas Perrin +2
In this work, we consider a rational approximation of the exponential function to design an algorithm for computing matrix exponential in the Hermitian case. Using partial fraction…
A numerical note on upper bounds for b 2 [g] sets
Laurent Habsieger, Alain Plagne
Sidon sets are those sets such that the sums of two of its elements never coincide. They go back to the 30s when Sidon asked for the maximal size of a subset of consecutive integer…
Additive bases in groups
Victor Lambert, Thái Hoàng Lê, Alain Plagne
In this paper, we study the problem of removing an element from an additive basis in a general abelian group. We introduce analogues of the classical functions , and (de…
Small doubling in ordered groups: generators and structure
Gregory A. Freiman, Marcel Herzog, Patrizia Longobardi +3
We prove several new results on the structure of the subgroup generated by a small doubling subset of an ordered group, abelian or not. We obtain precise results generalizing Freim…
Additive properties of sequences of pseudo s-th powers
Javier Cilleruelo, Jean-Marc Deshouillers, Victor Lambert +1
In this paper, we study (random) sequences of pseudo s-th powers, as introduced by Erdös and Rényi in 1960. In 1975, Goguel proved that such a sequence is almost surely not an asym…
Orbital measures on SU(2)/SO(2)
Boudjemaa Anchouche, Sanjiv Kumar Gupta, Alain Plagne
We let U=SU(2) and K=SO(2) and denote N_{U}(K) the normalizer of K in U. For a an element of U\ N_{U} (K), we let μ_{a} be the normalized singular measure supported in KaK. For p a…