Correction to the paper “A notion of measure for classes in AST”
Correction to the paper ’Copies of in the space of Pettis integrable functions with integrals of finite variation’ (Studia Math. 210 (2012), 93-98)
Correction to the paper "Two classes of measures''
Corrections : «Les dérivations analytiques»
Correlation dimension for self-similar Cantor sets with overlaps
We prove a classification theorem of the “Glimm-Effros” type for Borel order relations: a Borel partial order on the reals either is Borel linearizable or includes a copy of a certain Borel partial order which is not Borel linearizable.
Correspondence Between Semi-Measures and Small Systems
Correspondence between subadditive integrals and small systems
Corrigenda to: "Optimal domains for the kernel operator associated with Sobolev's inequality" (Studia Math. 158 (2003), 131-152)
Corrigendum of Mean Quadratic Variations and Fourier Asymptotics of Self-similar Measures.
Corrigendum on "Semigroup-theoretical proofs of the central limit theorem and other theorems of analysis.
Corrigendum to (n,2)-sets have full Hausdorff dimension.
In the paper (n,2)-sets have full Hausdorff dimension, appeared in Rev. Mat. Iberoamericana 20 (2004), 381-393, the author claimed that an (n,2)-set must have full Hausdorff dimension. However, as pointed out by Terence Tao and John Bueti, the proof contains an error.
Corrigendum to the paper: “A remark on the weighted averages for superadditive processes”.
Countable contraction mappings in metric spaces: invariant sets and measure
We consider a complete metric space (X, d) and a countable number of contraction mappings on X, F = {F i: i ∈ ℕ}. We show the existence of a smallest invariant set (with respect to inclusion) for F. If the maps F i are of the form F i(x) = r i x + b i on X = ℝd, we prove a converse of the classic result on contraction mappings, more precisely, there exists a unique bounded invariant set if and only if r = supi r i is strictly smaller than 1. Further, if ρ = {ρ k}k∈ℕ is a probability sequence, we...
Countable tightness in the spaces of regular probability measures
We prove that if K is a compact space and the space P(K × K) of regular probability measures on K × K has countable tightness in its weak* topology, then L₁(μ) is separable for every μ ∈ P(K). It has been known that such a result is a consequence of Martin's axiom MA(ω₁). Our theorem has several consequences; in particular, it generalizes a theorem due to Bourgain and Todorčević on measures on Rosenthal compacta.
Countably piecewise expanding transformations without absolutely continuous invariant measure
Counting and convergence in ergodic theory
Courte démonstration du théorème ergodique sur-additif
Coverable Radon measures in topological spaces with covering properties
Coverable standard measures with the chain condition and the Lebesgue decomposition
Covering locally compact groups by less than many translates of a compact nullset
Gruenhage asked if it was possible to cover the real line by less than continuum many translates of a compact nullset. Under the Continuum Hypothesis the answer is obviously negative. Elekes and Stepr mans gave an affirmative answer by showing that if is the well known compact nullset considered first by Erdős and Kakutani then ℝ can be covered by cof() many translates of . As this set has no analogue in more general groups, it was asked by Elekes and Stepr mans whether such a result holds for...