On separation of lattices.
On Some Properties of Effros Borel Structure on Spaces of Closed Subsets.
On strongly measure replete lattices and the general Wallman remainder
On the almost Lindelöf property in products of separable metric spaces
On the classification of Markov chains via occupation measures
We consider a Markov chain on a locally compact separable metric space and with a unique invariant probability. We show that such a chain can be classified into two categories according to the type of convergence of the expected occupation measures. Several properties in each category are investigated.
On the correct discrimination of Gaussian hypotheses. II.
On the differentiation theorem in metric groups
On the distribution of the norm for a gaussian measure
On the existence of a Haar measure in topological IP-loops
In this paper, we give conditions ensuring the existence of a Haar measure in topological IP-loops.
On the existence of invariant measures for Markov processes
On the existence of the functional measure for 2D Yang-Mills theory
We prove the existence of the path-integral measure of two-dimensional Yang-Mills theory, as a probabilistic Radon measure on the "generalized orbit space" of gauge connections modulo gauge transformations, suitably completed following the approach of Ashtekar and Lewandowski.
On the extension of measures
On the generalized Avez method
A generalization of the Avez method of construction of an invariant measure is presented.
On the Hausdorff measures associated to the Carathéodory and Kobayashi metrics
On the individual ergodic theorem on a logic
On the inner Daniell-Stone and Riesz representation theorems.
On the isotropic constant of marginals
We show that if μ₁, ..., μₘ are log-concave subgaussian or supergaussian probability measures in , i ≤ m, then for every F in the Grassmannian , where N = n₁ + ⋯ + nₘ and n< N, the isotropic constant of the marginal of the product of these measures, , is bounded. This extends known results on bounds of the isotropic constant to a larger class of measures.
On the measures of DiPerna and Majda
DiPerna and Majda generalized Young measures so that it is possible to describe “in the limit” oscillation as well as concentration effects of bounded sequences in -spaces. Here the complete description of all such measures is stated, showing that the “energy” put at “infinity” by concentration effects can be described in the limit basically by an arbitrary positive Radon measure. Moreover, it is shown that concentration effects are intimately related to rays (in a suitable locally convex geometry)...
On the points of multivaluedness of metric projections in separable Banach spaces
On the Property P... of Locally Compact Groups