Classification and extension by the transfinite induction
Classification des automorphismes ergodiques et finitaires
Classification of -ideals
Closed convex hull of set of measurable functions, Riemann-measurable functions and measurability of translations
Let be a locally compact group. Let be the left translation in , given by . We characterize (undre a mild set-theoretical hypothesis) the functions such that the map from into is scalarly measurable (i.e. for , is measurable). We show that it is the case when is measurable for each character , and if is compact, if and only if is Riemann-measurable. We show that is Borel measurable if and only if is left uniformly continuous.Some of the measure-theoretic tools used there...
Clusters minimizing area plus length of singular curves.
CM-selectors for pairs of oppositely semicontinuous multifunctions and some applications to strongly nonlinear inclusions.
Coarea integration in metric spaces
Let be a metric space with a doubling measure, be a boundedly compact metric space and be a Lebesgue precise mapping whose upper gradient belongs to the Lorentz space , . Let be a set of measure zero. Then for -a.e. , where is the -dimensional Hausdorff measure and is the -codimensional Hausdorff measure. This property is closely related to the coarea formula and implies a version of the Eilenberg inequality. The result relies on estimates of Hausdorff content of level sets...
Coboundaries in
Cohomology groups, multipliers and factors in ergodic theory
The problem of compact factors in ergodic theory and its relationship with the problem of extending a cocycle to a cocycle of a larger action are studied.
Combinatoire du billard dans un polyèdre
Ces notes ont pour but de rassembler les différents résultats de combinatoire des mots relatifs au billard polygonal et polyédral. On commence par rappeler quelques notions de combinatoire, puis on définit le billard, les notions utiles en dynamique et le codage de l’application. On énonce alors les résultats connus en dimension deux puis trois.
Combinatorics on σ-algebras and problem of Banach
Comment on "On some statistical paradoxes and non-conglomerability" by Bruce Hill.
Those who follow Harold Jeffreys in using improper priors together with likelihoods to determine posteriors have thought of the improper measures as probability measures of a deviant sort. This is a mistake. Probability measures are finite measures. Improper distributions generate σ-finite measures. (...)
Common extension of a family of group-valued, finitely additive measures
Common extensions of positive vector measures
Commutative harmonic analysis and Banach spaces
Compacity in narrow limit tower spaces.
Compact abelian group extensions of dynamical systems II
Compact operators on Orlicz spaces
Compact sets of tight measures
Compactness and convergence of set-valued measures
We prove criteria for relative compactness in the space of set-valued measures whose values are compact convex sets in a Banach space, and we generalize to set-valued measures the famous theorem of Dieudonné on convergence of real non-negative regular measures.