Investigation of some measures and sequences related to the extreme points
Involutivity degree of a distribution at superdensity points of its tangencies
Let (with ) be vector fields of class in an open set , let be a -dimensional submanifold of and define where is the tangent space to at . Then we expect the following property, which is obvious in the special case when is an interior point (relative to ) of : If is a -density point (relative to ) of then all the iterated Lie brackets of order less or equal to
Irreducible Markov systems on Polish spaces
Contractive Markov systems on Polish spaces which arise from graph directed constructions of iterated function systems with place dependent probabilities are considered. It is shown that their stability may be studied using the concentrating methods developed by the second author [Dissert. Math. 415 (2003)]. In this way Werner's results obtained in a locally compact case [J. London Math. Soc. 71 (2005)] are extended to a noncompact setting.
Isometries of Measure Algebras.
Isometries on Irreducible Triangular Operator Algebras.
Isométries positives et propriétés ergodiques de quelques espaces de Banach
Isomorphic random Bernoulli shifts
We develop a relative isomorphism theory for random Bernoulli shifts by showing that any random Bernoulli shifts are relatively isomorphic if and only if they have the same fibre entropy. This allows the identification of random Bernoulli shifts with standard Bernoulli shifts.
Isomorphism of measure preserving transformations
Isomorphism of regular Morse dynamical systems
Isomorphismen, topologische Maßräume.
Isomorphismes bicroissants des cônes convexes
Iterated Cesàro averages, frequencies of digits, and Baire category
Iterated function systems with a weak separation condition
Nonoverlapping contractive self-similar iterated function systems (IFS) have been studied in great detail via the open set condition. On the other hand much less is known about IFS with overlaps. To deal with such systems, a weak separation condition (WSC) has been introduced recently [LN1]; it is weaker than the open set condition and it includes many important overlapping cases. This paper has two purposes. First, we consider the class of self-similar measures generated by such IFS; we give a...
Iterated function systems with continuous place dependent probabilities.
Iterated products of ideals of Borel sets
Iterates of Volterra operators and indeterminate forms.
Iteration of endomorphisms on the real axis and representation of numbers
Joint essential range
Józef Marcinkiewicz (1910-1940) - on the centenary of his birth
Józef Marcinkiewicz’s (1910-1940) name is not known by many people, except maybe a small group of mathematicians, although his influence on the analysis and probability theory of the twentieth century was enormous. This survey of his life and work is in honour of the anniversary of his birth and anniversary of his death. The discussion is divided into two periods of Marcinkiewicz’s life. First, 1910-1933, that is, from his birth to his graduation from the University of Stefan Batory in Vilnius,...
Jump functions of a real interval to a Banach space