La barbarie recouvre de multiples représentations. Mais je voudrais partir d’un sens précis, si l’on peut dire premier. En ce sens, la barbarie désigne une altérité radicale. Elle induit une taxinomie binaire. Les barbares renvoient à des individus ou peuples que l’on désigne ainsi pour marquer leur absolue différence. Dans le cas des peuples, il est clair qu’aucun de ceux ainsi désignés au cours de l’histoire ne s’est, de lui-même, nommé barbare. Les barbares ce sont d’abord toujours les aut...

This paper concerns periodic solutions of a class of equations that model gene regulatory networks. Unlike the vast majority of previous studies, it is not assumed that all decay rates are identical. To handle this more general situation, we rely on monotonicity properties of these systems. Under an alternative assumption, it is shown that a classical fixed point theorem for monotone, concave operators can be applied to these systems. The required assumption is expressed in geometrical terms as an alignment condition (...) on so-called focal points . As an application, we show the existence and uniqueness of a stable periodic orbit for negative feedback loop systems in dimension 3 or more, and of a unique stable equilibrium point in dimension 2. This extends a theorem of Snoussi, which showed the existence of these orbits only. (shrink)

The monuments of spirituality of our people were and still remain chronicles, gospels, other liturgical books, in particular the Psalms, the Apostles, the Servants who were rewritten in churches and monasteries.At the same time, it should be borne in mind that until now only a fraction of their total number has come to this day. Among them, the most famous are the Galician Gospel of 1144, the Christopilian Apostle of the XII century, the Buchach Gospel of the XIII century. Until (...) our time, the monuments of secular literature of Galicia-Volyn's Russia have not been preserved except for the "Tale of blindness of Vasylko", although it is difficult to doubt them in their existence. To Galician scripts, individual researchers include, in particular, the "Teaching of Ephraim Syrin" from the collection of the Public Library. Saltykov-Shchedrin in St. Petersburg. We can confidently speak about the spread of the wives' epic on these lands. (shrink)