C^{(2)}_{N+1} Ruijsenaars-Schneider models

We define the notion of C^{(2)}_{N+1} Ruijsenaars-Schneider models and construct their Lax formulation. They are obtained by a particular folding of the A_{2N+1} systems. Their commuting Hamiltonians are linear combinations of Koornwinder-van Diejen ``external fields'' Ruijsenaars-Schneider models, for specific values of the exponential one-body couplings but with the most general 2 double-poles structure as opposed to the formerly studied BC_N case. Extensions to the elliptic potentials are briefly discussed.Comment: 15 pages, LaTeX, no figure

Classification of the solutions of constant rational semi-dynamical reflection equations

We propose a classification of the solutions K to the semi-dynamical reflection equation with constant rational structure matrices associated to rational scalar Ruijsenaars-Schneider model. Four sets of solutions are identified and simple analytic transformations generate all solutions from these sets.Comment: 12 pages, no figure. Dedicated to Daniel Arnaudo

Construction of dynamical quadratic algebras

We propose a dynamical extension of the quantum quadratic exchange algebras introduced by Freidel and Maillet. It admits two distinct fusion structures. A simple example is provided by the scalar Ruijsenaars-Schneider model.Comment: LaTeX, 13 pages, no figures Important changes. Changed the title. Added an example and a theorem on fusion on the quantum space. To appear in LM

Classification of Non-Affine Non-Hecke Dynamical R-Matrices

A complete classification of non-affine dynamical quantum $R$-matrices obeying the ${\mathcal G}l_n({\mathbb C})$-Gervais-Neveu-Felder equation is obtained without assuming either Hecke or weak Hecke conditions. More general dynamical dependences are observed. It is shown that any solution is built upon elementary blocks, which individually satisfy the weak Hecke condition. Each solution is in particular characterized by an arbitrary partition ${{\mathbb I}(i), i\in{1,...,n}}$ of the set of indices ${1,...,n}$ into classes, ${\mathbb I}(i)$ being the class of the index $i$, and an arbitrary family of signs $(\epsilon_{\mathbb I})_{{\mathbb I}\in{{\mathbb I}(i), i\in{1,...,n}}}$ on this partition. The weak Hecke-type $R$-matrices exhibit the analytical behaviour $R_{ij,ji}=f(\epsilon_{{\mathbb I}(i)}\Lambda_{{\mathbb I}(i)}-\epsilon_{{\mathbb I}(j)}\Lambda_{{\mathbb I}(j)})$, where $f$ is a particular trigonometric or rational function, $\Lambda_{{\mathbb I}(i)}=\sum\limits_{j\in{\mathbb I}(i)}\lambda_j$, and $(\lambda_i)_{i\in{1,...,n}}$ denotes the family of dynamical coordinates

Nouveau concept de sécurité et gestion des épidémies en Chine

À la lumière de l’évolution du concept de sécurité en Chine et du lien qui est désormais fait entre les maladies infectieuses et la sécurité non traditionnelle, cet article se propose d’analyser la manière dont aujourd’hui la Chine répond aux épidémies, notamment celle de la grippe aviaire. Il s’intéresse particulièrement à la réponse donnée par le « nouveau concept de sécurité » qui suggère, pour faire face à ces questions, de suivre quatre principes : la confiance mutuelle, le bénéfice mutuel, l’égalité et la coordination. Il cherche dès lors à savoir de quelle manière ces derniers sont mis en pratique dans le domaine de la lutte contre les épidémies en Chine et quelles en sont les limites.In the light of the evolution of the concept of Security in China and of the link that is now made between infectious diseases and non-traditional security (NTS), this article proposes to analyze the way China deals with epidemics today, notably the avian influenza. It is interested particularly in the response that derives from the Chinese “new concept of security,” which suggests to follow four principles : mutual confidence, mutual benefit, equality, and coordination, to face these NTS issues. Consequently, it seeks to find out how these principles are put into practice in the fight against epidemics in China and what their limits are