On the rank of a class of bijective substitutions
G. Goodson, M. Lemańczyk (1990)
Studia Mathematica
Ryotaro Sato (1984)
Studia Mathematica
Karel Winkelbauer (1971)
Kybernetika
B. Scarpellini (1974)
Mathematische Annalen
Ulrich Krengel (1978/1979)
Monatshefte für Mathematik
F. M. Dekking (1992)
Acta Universitatis Carolinae. Mathematica et Physica
Manfred Denker, Gerhard Keller, Mariusz Urbański (1990)
Studia Mathematica
Kharazishvili, A.B. (1997)
Journal of Applied Analysis
Lasha Ephremidze (2002)
Revista Matemática Complutense
The uniqueness theorem for the ergodic maximal operator is proved in the continous case.
Lasha Ephremidze (2002)
Fundamenta Mathematicae
It is proved that the ergodic maximal operator is one-to-one.
Paul Alton Hagelstein (2004)
Fundamenta Mathematicae
It is shown that if two functions share the same uncentered (two-sided) ergodic maximal function, then they are equal almost everywhere.
Kharazishvili, A. (2002)
Georgian Mathematical Journal
Mariusz Lemanczyk (1989)
Monatshefte für Mathematik
S.P. Chakraborty, M. Dutta (1977)
Publications de l'Institut Mathématique [Elektronische Ressource]
Harry I. Miller (1981)
Časopis pro pěstování matematiky
Ai Fan (1996)
Studia Mathematica
We give a simple proof of the sufficiency of a log-lipschitzian condition for the uniqueness of G-measures and g-measures which were studied by G. Brown, A. H. Dooley and M. Keane. In the opposite direction, we show that the lipschitzian condition together with positivity is not sufficient. In the special case where the defining function depends only upon two coordinates, we find a necessary and sufficient condition. The special case of Riesz products is discussed and the Hausdorff dimension of...
Manfred Denker (1978)
Mathematische Zeitschrift
Kharazishvili, A. (1999)
Georgian Mathematical Journal
Ryotaro Sato (1971)
Mathematische Zeitschrift
Hugo Aimar (1985)
Studia Mathematica