On the d-invariant of compact solvmanifolds.
On the form of principal torus-bundles over toruses
On the Hilbert-Schmidt Semi-Norms of L1 of a Nilpotent Lie Group.
On the representation of solutions of stochastic differential equations
On the Structure of Groups with Polynomial Growth.
On varieties of topological groups generated by solvable groups
Opérateurs invariants hypoelliptiques sur un groupe de Lie nilpotent
Paramétrisation du dual d'une algèbre de Lie nilpotente
Pour tout groupe de Lie nilpotent réel connexe et simplement connexe, on construit une stratification du dual de l’algèbre de Lie, et on paramètre chaque strate au moyen d’un triplet de fonctions rationnelles à valeurs vectorielles; les valeurs de caractérisent les orbites de la strate et pour chacune de ces orbites, le couple constitue une carte de Darboux.
Pointwise estimates for the Poisson kernel on NA groups by the Ancona method
Poisson Integrals and Boundary Components of Symmetric Spaces.
Poisson Summation of Kirillov Orbits.
Pompeiu Sets in Compact Heisenberg Manifolds.
Principe d'incertitude qualitatif pour les groupes de Lie nilpotents.
We prove that any simply connected nilpotent Lie group satisfies the qualitative uncertainty principle.
Product decompositions of solvable Lie groups.
Propagation des singularités sur des groupes de Lie nilpotents de rang . II
Proper actions and a compactness condition.
Rechtsdistributive Multiplikationen auf homogenen Räumen.
Rectifiability and parameterization of intrinsic regular surfaces in the Heisenberg group
We construct an intrinsic regular surface in the first Heisenberg group equipped wiht its Carnot-Carathéodory metric which has euclidean Hausdorff dimension . Moreover we prove that each intrinsic regular surface in this setting is a -dimensional topological manifold admitting a -Hölder continuous parameterization.
Regular behavior at infinity of stationary measures of stochastic recursion on NA groups
Let N be a simply connected nilpotent Lie group and let be a semidirect product, acting on N by diagonal automorphisms. Let (Qₙ,Mₙ) be a sequence of i.i.d. random variables with values in S. Under natural conditions, including contractivity in the mean, there is a unique stationary measure ν on N for the Markov process Xₙ = MₙXn-1 + Qₙ. We prove that for an appropriate homogeneous norm on N there is χ₀ such that . In particular, this applies to classical Poisson kernels on symmetric spaces,...
*-Regularity of Exponential Lie Groups.