A localized uniformly Jarník set in continued fractions
A locally commutative free group acting on the plane
The purpose of this paper is to prove the existence of a free subgroup of the group of all affine transformations on the plane with determinant 1 such that the action of the subgroup is locally commutative.
A martingale proof of the theorem by Jessen, Marcinkiewicz and Zygmund on strong differentiation of integrals
A measurable selection theorem
A Measurable Selection Theorem for Compact-Valued Maps.
A measure decomposition theorem
A Measure Space Without the Strong Lifting Property.
A measure theoretic approach to logical quantification
A measure-theoretic characterization of Boolean algebras among orthomodular lattices
We investigate subadditive measures on orthomodular lattices. We show as the main result that an orthomodular lattice has to be distributive (=Boolean) if it possesses a unital set of subadditive probability measures. This result may find an application in the foundation of quantum theories, mathematical logic, or elsewhere.
A measure-theoretical max-flow-min-cut problem.
A method for evaluating the fractal dimension in the plane, using coverings with crosses
Various methods may be used to define the Minkowski-Bouligand dimension of a compact subset E in the plane. The best known is the box method. After introducing the notion of ε-connected set , we consider a new method based upon coverings of with crosses of diameter 2ε. To prove that this cross method gives the fractal dimension for all E, the main argument consists in constructing a special pavement of the complementary set with squares. This method gives rise to a dimension formula using integrals,...
A method of construction of an invariant measure
A method of construction of an invariant measure on a function space is presented.
A method of solving a cocycle functional equation and applications
A metric space associated with a probability space.
A "Minimal", Non-Uniquely Ergodic Interval Exchange Transformation.
A Mixid Theory of Information - IV: Inset-Inaccuracy and Directed Divergence.
A *-mixing convergence theorem for convex set valued processes.
A mixing dynamical system on the Cantor set.
A Mixing T for which T - T... Is Bernoulli.
A Monogenic Baire Measure Need Not Be Completion Regular