Modular embeddings for some non-arithmetic Fuchsian groups
A -dynamical system with Dedekind zeta partition function and spontaneous symmetry breaking
In this paper we extend to arbitrary number fields a construction of Bost-Connes of a -dynamical system with spontaneous symmetry breaking and partition function the Riemann zeta function.
Hall's transformation via quantum stochastic calculus
It is well known that Hall's transformation factorizes into a composition of two isometric maps to and from a certain completion of the dual of the universal enveloping algebra of the Lie algebra of the initial Lie group. In this paper this fact will be demonstrated by exhibiting each of the maps in turn as the composition of two isometries. For the first map we use classical stochastic calculus, and in particular a stochastic analogue of the Dyson perturbation expansion. For the second map we make...
Fonctions hypergéométriques en plusieurs variables et espaces des modules de variétés abéliennes
Siegel's lemma, Padé approximations and jacobians
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