Uniform regularity of measures on compact spaces.
A.G.A.G. Babiker (1977)
Journal für die reine und angewandte Mathematik
A.G.A.G. Babiker (1978)
Journal für die reine und angewandte Mathematik
Antonio Boccuto, Domenico Candeloro (2011)
Open Mathematics
Some new results about uniform (s)-boundedness for regular (l)-group-valued set functions are given.
Maria Gabriella Graziano (2000)
Bollettino dell'Unione Matematica Italiana
Flemming Topsoe (1976)
Mathematica Scandinavica
Udayan Darji (1993)
Colloquium Mathematicae
Galvin and Prikry defined completely Ramsey sets and showed that the class of completely Ramsey sets forms a σ-algebra containing open sets. However, they used two definitions of completely Ramsey. We show that they are not equivalent as they remarked. One of these definitions is a more uniform property than the other. We call it the uniformly completely Ramsey property. We show that some of the results of Ellentuck, Silver, Brown and Aniszczyk concerning completely Ramsey sets also hold for uniformly...
Baltasar Rodríguez-Salinas (1998)
Collectanea Mathematica
The extension of finitely additive measures that are invariant under a group permutations or mappings has already been widely studied. We have dealt with this problem previously from the point of view of Hahn-Banach's theorem and von Neumann's measurable groups theory. In this paper we construct countably additive measures from a close point of view, different to that of Haar's Measure Theory.
A. G. A. G. Babiker (1980)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
Elias Flytzanis (1995)
Monatshefte für Mathematik
E. Flytzanis (1995)
Geometric and functional analysis
Jörg M. Thuswaldner (2006)
Journal de Théorie des Nombres de Bordeaux
Let be a unimodular Pisot substitution over a letter alphabet and let be the associated Rauzy fractals. In the present paper we want to investigate the boundaries () of these fractals. To this matter we define a certain graph, the so-called contact graph of . If satisfies a combinatorial condition called the super coincidence condition the contact graph can be used to set up a self-affine graph directed system whose attractors are certain pieces of the boundaries . From this graph...
Jean-Paul Bertrandias, Christian Datry, Christian Dupuis (1978)
Annales de l'institut Fourier
Étude des propriétés des unions et intersections d’espaces relatifs à un ensemble de mesures positives sur un groupe commutatif localement compact lorsque est invariant par translation ou stable par convolution.Dans des cas particuliers, on retrouve les propriétés d’espaces étudiés par A. Beurling et par B. Koremblium.On étudie aussi les espaces formés des fonctions appartenant localement à et qui ont un comportement à l’infini.
Anders Johansson, Anders Öberg, Mark Pollicott (2012)
Journal of the European Mathematical Society
We improve and subsume the conditions of Johansson and Öberg and Berbee for uniqueness of a -measure, i.e., a stationary distribution for chains with complete connections. In addition, we prove that these unique -measures have Bernoulli natural extensions. We also conclude that we have convergence in the Wasserstein metric of the iterates of the adjoint transfer operator to the -measure.
Rufus Bowen (1975)
Publications mathématiques et informatique de Rennes
Klaus Schmidt (1979)
Mathematische Zeitschrift
P. C. Álvarez-Esteban, E. del Barrio, J. A. Cuesta-Albertos, C. Matrán (2011)
Annales de l'I.H.P. Probabilités et statistiques
For α∈(0, 1) an α-trimming, P∗, of a probability P is a new probability obtained by re-weighting the probability of any Borel set, B, according to a positive weight function, f≤1/(1−α), in the way P∗(B)=∫Bf(x)P(dx). If P, Q are probability measures on euclidean space, we consider the problem of obtaining the best L2-Wasserstein approximation between: (a) a fixed probability and trimmed versions of the other; (b) trimmed versions of both probabilities. These best trimmed approximations naturally...
Pavel Samek, Dalibor Volný (1992)
Commentationes Mathematicae Universitatis Carolinae
In the limit theory for strictly stationary processes , the decomposition proved to be very useful; here is a bimeasurable and measure preserving transformation an is a martingale difference sequence. We shall study the uniqueness of the decomposition when the filtration of is fixed. The case when the filtration varies is solved in [13]. The necessary and sufficient condition of the existence of the decomposition were given in [12] (for earlier and weaker versions of the results see [7])....
Martin Barlow, Richard F. Bass, Takashi Kumagai, Alexander Teplyaev (2010)
Journal of the European Mathematical Society
We prove that, up to scalar multiples, there exists only one local regular Dirichlet form on a generalized Sierpi´nski carpet that is invariant with respect to the local symmetries of the carpet. Consequently, for each such fractal the law of Brownian motion is uniquely determined and the Laplacian is well defined.
J. Rodríguez, G. Vera (2006)
Studia Mathematica
Let X be a Banach space, a norming set and (X,B) the topology on X of pointwise convergence on B. We study the following question: given two (non-negative, countably additive and finite) measures μ₁ and μ₂ on Baire(X,w) which coincide on Baire(X,(X,B)), does it follow that μ₁ = μ₂? It turns out that this is not true in general, although the answer is affirmative provided that both μ₁ and μ₂ are convexly τ-additive (e.g. when X has the Pettis Integral Property). For a Banach space Y not containing...
G. R. Burton, R. J. Douglas (2003)
Annales de l'I.H.P. Analyse non linéaire