A localized uniformly Jarník set in continued fractions
Yuanhong Chen, Yu Sun, Xiaojun Zhao (2015)
Acta Arithmetica
Kenzi Satô (2003)
Fundamenta Mathematicae
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.
Malgorsata Kuchta, Michal Morayne, Slawomir Solecki (2001)
Séminaire de probabilités de Strasbourg
John Burgess (1980)
Fundamenta Mathematicae
Siegrfried Graf (1979)
Manuscripta mathematica
Vladimír Palko (1988)
Mathematica Slovaca
V. Losert (1979)
Mathematische Annalen
David P. Ellerman, Gian-Carlo Rota (1978)
Rendiconti del Seminario Matematico della Università di Padova
Pavel Pták, Sylvia Pulmannová (1994)
Commentationes Mathematicae Universitatis Carolinae
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.
Wolfgang Blum (1990)
Mathematische Zeitschrift
Claude Tricot (2002)
Fundamenta Mathematicae
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,...
Antoni Leon Dawidowicz (1992)
Annales Polonici Mathematici
A method of construction of an invariant measure on a function space is presented.
J. Kwiatkowski, T. Rojek (1991)
Studia Mathematica
Taylor, Keith F., Wang, Xikui (1993)
International Journal of Mathematics and Mathematical Sciences
Harvey B. Keynes, Dan Newton (1976)
Mathematische Zeitschrift
Pl. Kannappan (1980)
Metrika
de Korvin, A., Kleyle, R. (1987)
International Journal of Mathematics and Mathematical Sciences
Kim, Jeong H. (1995)
International Journal of Mathematics and Mathematical Sciences
Paul C. Shields, Robert M. Burton (1983)
Monatshefte für Mathematik
Zdena Riečanová (1974)
Matematický časopis