Sur les équations xp+2βyp= z2et xp+2βyp= 2z2

Mémoire Sur Les Probabilités∗

I intend to treat in this Memoir two important points in the analysis of chances which do not seem yet to have been sufficiently deeply studied: the first has for object the manner of calculating the probability of events composed of simple events of which one does not know the respective probabilities; the object of the second is the influence of past events on the probability of future events...

Mémoire Sur Les Suites

The theory of series is one of the most important objects of Analysis: all problems which reduce to some approximations, and consequently nearly all the applications of Mathematics to Nature, depend on this theory; thus we see that it has principally fixed the attention of the geometers; they have found a great number of beautiful theorems and ingenious methods, either in order to expand functi...

Modélisation par la méthode des équations intégrales de frontière de phénomènes de conduction surfacique sur les isolateurs pollués

The dielectric withstand capabilities of insulating materials is related to their surface electric field and potential distributions. These distributions, in the presence of polluting layers, are quite different from these encountered in classical electrostatics. This work is concerned with the application of boundary integral equations method to the calculation of electric fields and potential...

Résonance paramagnétique sur les phosphores

Marches Aléatoires sur les Groupes

Dans cet article, on va étudier les marches aléatoires sur les graphes et sur les groupes. Enfin, on trouvera une condition nécessaire et suffisante pour la récurrence des marches aléatoires sur les groupes. La condition est très similaire à celle des marches aléatoires sur Zd. La démonstration qu’on donnera est la plus courte. Cependant, on admet le théorème 4.15 de Gromov sur la relation entr...