Daniell-Greco-Stone representation type theorem for autocontinuous from above functionals.
Darboux property of measures and contents
Decomposition theorems in measure theory
Desintegration and compact measures.
Deux mesures spéciales dans l’espace
Dieudonné-type theorems for lattice group-valued -triangular set functions
Some versions of Dieudonné-type convergence and uniform boundedness theorems are proved, for -triangular and regular lattice group-valued set functions. We use sliding hump techniques and direct methods. We extend earlier results, proved in the real case. Furthermore, we pose some open problems.
Dimension of measures: the probabilistic approach.
Various tools can be used to calculate or estimate the dimension of measures. Using a probabilistic interpretation, we propose very simple proofs for the main inequalities related to this notion. We also discuss the case of quasi-Bernoulli measures and point out the deep link existing between the calculation of the dimension of auxiliary measures and the multifractal analysis.
Dimensions des spirales
Disintegration and perfectness of measure spaces.
Domination d'une mesure par une capacité
Doubling measures with different bases