On quantization of quadratic Poisson structures

Any classical r-matrix on the Lie algebra of linear operators on a real vector space V gives rise to a quadratic Poisson structure on V which admits a deformation quantization stemming from the construction of V. Drinfel'd. We exhibit in this article an example of quadratic Poisson structure which does not arise this way.Comment: Submitted to Comm. Math. Phys. Version 2 : error in introduction correcte

Evaluation des sequelles chez les victimes d’accidents de la circulation

La loi n°2005-86 du 15 août 2005 a défini les préjudices indemnisables suite à un accident de la circulation: les frais de soins imputables à l’accident, la perte de revenus durant la période d’incapacité temporaire de travail, l’incapacité permanente partielle, le préjudice moral et esthétique, les frais d’assistance d’une tierce personne, le préjudice économique, le préjudice moral et les frais funéraires en cas de décès. Nous proposons une méthodologie d’évaluation de ces différents chefs de préjudice notamment les incapacités en otorhino- laryngologie.Mots clés : Expertise, Dommage corporel.The law n°2005-86 of 15 August 2005, defined prejudices to indemnify after a road accident: care expenses due to the accident, loss of incomes during the period of temporary inability of work, partial permanent inability, moral and aesthetic prejudice, expenses of assistance by a third person, economic prejudice, moral prejudice and funeral expenses in case of death. We propose a methodology of assessment of these different chiefs of prejudice, notably in otorhinolaryngology inabilities.  Key words: Expertise, Bodily damage

Uniform regularity for the Navier-Stokes equation with Navier boundary condition

We prove that there exists an interval of time which is uniform in the vanishing viscosity limit and for which the Navier-Stokes equation with Navier boundary condition has a strong solution. This solution is uniformly bounded in a conormal Sobolev space and has only one normal derivative bounded in $L^\infty$. This allows to get the vanishing viscosity limit to the incompressible Euler system from a strong compactness argument

Self-interference in Multi-tap Channels for Full-Duplex Wireless Systems

Residual self-interference (SI) is primarily a key challenge when designing In-Band Full-duplex (IBFDX) wireless systems. Channel estimation errors are one of the major causes of residual SI. Consequently, a deeper understanding of the impact of the channel effects on the residual SI becomes indispensable. In this paper, we investigate the influence of multiple taps on the residual SI power of IBFDX systems. We first formulate the effect of having independent taps on the residual SI power mathematically. The derivations take into account the amount of interference cancellation on each tap by considering phase and amplitude estimation coefficients. We conclude that the increase in the number of taps always leads to an additive effect of the residual power. Such findings are shown mathematically and also reported in different results obtained by simulation. Finally, we compare the distribution of the residual SI power with different known distributions, concluding that Weibull and Gamma distributions are the closest ones in terms of accuracy. In-Band Full-Duplex communication Residual self-interference Independent fading taps channel.authorsversionpublishe