On the Demazure character formula
On the Demazure character formula II. Generic homologies
On the density character of compact topological groups
On the Density of the Image of the Exponential Function.
On the Determination of Harish-Chandra's ß-Function.
On the determination of the Plancherel measure for Lebedev-Whittaker transforms on GL(n)
On the differential form spectrum of hyperbolic manifolds
We give a lower bound for the bottom of the differential form spectrum on hyperbolic manifolds, generalizing thus a well-known result due to Sullivan and Corlette in the function case. Our method is based on the study of the resolvent associated with the Hodge-de Rham laplacian and leads to applications for the (co)homology and topology of certain classes of hyperbolic manifolds.
On the dimension modulo classes of topological spaces and free topological groups.
On the Dimensions of Automorphism Groups of Eight-Dimensional Double Loops.
On the dimensions of automorphism groups of four-dimensional double loops.
On the d-invariant of compact solvmanifolds.
On the distribution of the values of an additive arithmetical function with values in a locally compact abelian group
On the Dual Object of a Compact Connected Group.
On the dual of a Commutative signed Hypergroup.
On the dynamics of isometries.
On the dynamics of (left) orderable groups
We develop dynamical methods for studying left-orderable groups as well as the spaces of orderings associated to them. We give new and elementary proofs of theorems by Linnell (if a left-orderable group has infinitely many orderings, then it has uncountably many) and McCleary (the space of orderings of the free group is a Cantor set). We show that this last result also holds for countable torsion-free nilpotent groups which are not rank-one Abelian. Finally, we apply our methods to the case of braid...
On the dynamics of pseudo-Anosov homeomorphisms on representation varieties of surface groups.
On the Enright functor in the highest weight category.
On the Enright-Varadarajan modules : a construction of the discrete series
On the equivalence of control systems on Lie groups
We consider state space equivalence and feedback equivalence in the context of (full-rank) left-invariant control systems on Lie groups. We prove that two systems are state space equivalent (resp.~detached feedback equivalent) if and only if there exists a Lie group isomorphism relating their parametrization maps (resp. traces). Local analogues of these results, in terms of Lie algebra isomorphisms, are also found. Three illustrative examples are provided.