967 citations
- Centre National de la Recherche ScientifiqueFR361 papers
- Université Bourgogne Franche-ComtéFR161 papers
- Université de Franche-ComtéFR129 papers
- École Nationale Supérieure de Mécanique et des MicrotechniquesFR64 papers
- Astronomical Institute of the Slovak Academy of SciencesSK27 papers
- Slovak Academy of SciencesSK27 papers
- Université de BourgogneFR27 papers
- Université de technologie de belfort-montbéliardFR24 papers
- The University of Western AustraliaAU22 papers
- Université Paris Sciences et LettresFR18 papers
- ARC Centre of Excellence for Engineered Quantum SystemsAU16 papers
- Laboratoire Interdisciplinaire Carnot de BourgogneFR16 papers
18 papers · 1 filter
A Pseudo Random Numbers Generator Based on Chaotic Iterations. Application to Watermarking
Christophe Guyeux, Qianxue Wang, Jacques M. Bahi
In this paper, a new chaotic pseudo-random number generator (PRNG) is proposed. It combines the well-known ISAAC and XORshift generators with chaotic iterations. This PRNG possesse…
On Nicolas criterion for the Riemann Hypothesis
Youngju Choie, Michel Planat, Patrick Solé
Nicolas criterion for the Riemann Hypothesis is based on an inequality that Euler totient function must satisfy at primorial numbers. A natural approach to derive this inequality w…
About the Dedekind psi function in Pauli graphs
Michel R. P. Planat
We study the commutation structure within the Pauli groups built on all decompositions of a given Hilbert space dimension , containing a square, into its factors. The simplest i…
Robin inequality for free integers
Patrick Solé, Michel Planat
Recall that an integer is free iff it is not divisible by for some prime We give a method to check Robin inequality for free integers $n…
Riemann hypothesis and Quantum Mechanics
Michel Planat, Patrick Solé, Sami Omar
In their 1995 paper, Jean-Benoît Bost and Alain Connes (BC) constructed a quantum dynamical system whose partition function is the Riemann zeta function , where is an inv…
Advanced noise reduction techniques for ultra-low phase noise optical-to-microwave division with femtosecond fiber combs
W. Zhang, Z. Xu, M. Lours +5
We report what we believe to be the lowest phase noise optical-to-microwave frequency division using fiber-based femtosecond optical frequency combs: a residual phase noise of -120…