Divisible $H$-spaces

Infinitely Divisible Cylindrical Measures on Banach Spaces

In this work infinitely divisible cylindrical probability measures on arbitrary Banach spaces are introduced. The class of infinitely divisible cylindrical probability measures is described in terms of their characteristics, a characterisation which is not known in general for infinitely divisible Radon measures on Banach spaces. Furthermore, continuity properties and the relation to infinitely...

On period spaces for p-divisible groups

In their book Rapoport and Zink constructed rigid analytic period spaces for Fontaine’s filtered isocrystals, and period morphisms from moduli spaces of p-divisible groups to some of these period spaces. We determine the image of these period morphisms, thereby contributing to a question of Grothendieck. We give examples showing that only in rare cases the image is all of the Rapoport-Zink peri...

MODULI SPACES OF p-DIVISIBLE GROUPS

We study the global structure of moduli spaces of quasi-isogenies of p-divisible groups introduced by Rapoport and Zink. We determine their dimensions and their sets of connected components and of irreducible components. If the isocrystals of the p-divisible groups are simple, we compute the cohomology of the moduli space. As an application we determine which moduli spaces are smooth.

Isotropic Infinitely Divisible Processes on Compact Symmetric Spaces

Let G be a connected compact Lie group, K a compact subgroup, such that G/K is a Riemannian symmetric homogeneous space. (See [l ] for terminology and notation.) We fix once and for all a G-invariant metric on G/K. D(G/K) will stand for the algebra of those differential operators on C°°(G/.K) which are invariant under the action of G. S(K\G/K) stands for the semi-group, under convolution as pro...

Symmetric infinitely divisible processes with sample paths in Orlicz spaces and absolute continuity of infinitely divisible processes