Game-theoretic algorithms for fair and strongly fair cake division with entitlements
Gaussian measures and covering theorems
Gaussian measures and the density theorem
Gemeinsame Urbilder endlich additiver Inhalte.
General multifractal analysis of local entropies
We address the problem of the multifractal analysis of local entropies for arbitrary invariant measures. We obtain an upper estimate on the multifractal spectrum of local entropies, which is similar to the estimate for local dimensions. We show that in the case of Gibbs measures the above estimate becomes an exact equality. In this case the multifractal spectrum of local entropies is a smooth concave function. We discuss possible singularities in the multifractal spectrum and their relation to phase...
Généralisation d'un lemme de « découpage » de Rokhlin
Generalization Of An Inequality Of G. Pólya Concerning The Eigenfrequences Of Vibrating Bodies
Generalizations of analytic and standard measurable spaces.
Generalizations of Castaing's theorem on selectors
Generalizations of Ostrowski inequality via biparametric Euler harmonic identities for measures.
Generalized convolutions II
Generalized dimension compression under mappings of exponentially integrable distortion
We prove a dimension compression estimate for homeomorphic mappings of exponentially integrable distortion via a modulus of continuity result by D. Herron and P. Koskela [Mappings of finite distortion: gauge dimension of generalized quasicircles, Illinois J. Math., 2003, 47(4), 1243–1259]. The essential sharpness of our estimate is demonstrated by an example.
Generalized IFSs on noncompact spaces.
Generalized iterated function systems, multifunctions and Cantor sets
Using a construction similar to an iterated function system, but with functions changing at each step of iteration, we provide a natural example of a continuous one-parameter family of holomorphic functions of infinitely many variables. This family is parametrized by the compact space of positive integer sequences of prescribed growth and hence it can also be viewed as a parametric description of a trivial analytic multifunction.
Generalized Lebesgue points for Sobolev functions
In many recent articles, medians have been used as a replacement of integral averages when the function fails to be locally integrable. A point in a metric measure space is called a generalized Lebesgue point of a measurable function if the medians of over the balls converge to when converges to . We know that almost every point of a measurable, almost everywhere finite function is a generalized Lebesgue point and the same is true for every point of a continuous function. We show...
Generalized Lusin sets with the Blackwell property
Generalized mean porosity and dimension.
Generalized Vitali systems of uniform type
Generation of operation-invariant classes of sets
Generic power series on subsets of the unit disk
We examine the boundary behaviour of the generic power series with coefficients chosen from a fixed bounded set in the sense of Baire category. Notably, we prove that for any open subset of the unit disk with a nonreal boundary point on the unit circle, is a dense set of . As it is demonstrated, this conclusion does not necessarily hold for arbitrary open sets accumulating to the unit circle. To complement these results, a characterization of coefficient sets having this property is given....