Singular invariant measures on the line
V. Mandrekar, M. Nadkarni, D. Patil (1970)
Studia Mathematica
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Displaying similar documents to “On -invariant measures and a functional equation”
Singular invariant measures on the line
The asymptotics of the Perron-Frobenius operator of a class of interval maps preserving infinite measures
Maximilian Thaler (2000)
Studia Mathematica
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We determine the asymptotic behaviour of the iterates of the Perron-Frobenius operator for specific interval maps with an indifferent fixed point which gives rise to an infinite invariant measure.
Singular measures and the key of G.
Stephen M. Buckley, Paul MacManus (2000)
Publicacions Matemàtiques
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We construct a sequence of doubling measures, whose doubling constants tend to 1, all for which kill a G set of full Lebesgue measure.
Conical measures and properties of a vector measure determined by its range
L. Rodríguez-Piazza, M. Romero-Moreno (1997)
Studia Mathematica
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We characterize some properties of a vector measure in terms of its associated Kluvánek conical measure. These characterizations are used to prove that the range of a vector measure determines these properties. So we give new proofs of the fact that the range determines the total variation, the σ-finiteness of the variation and the Bochner derivability, and we show that it also determines the (p,q)-summing and p-nuclear norm of the integration operator. Finally, we show that Pettis derivability...
The ergodic theory of positive operators on continuous functions
S. R. Foguel (1973)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Two problems on doubling measures.
Robert Kaufman, Jang-Mei Wu (1995)
Revista Matemática Iberoamericana
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Doubling measures appear in relation to quasiconformal mappings of the unit disk of the complex plane onto itself. Each such map determines a homeomorphism of the unit circle on itself, and the problem arises, which mappings f can occur as boundary mappings?
On invariant measures for some infinite-dimensional dynamical systems
P. E. Zhidkov (1995)
Annales de l'I.H.P. Physique théorique
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Most expanding maps have no absolutely continuous invariant measure
Anthony Quas (1999)
Studia Mathematica
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We consider the topological category of various subsets of the set of expanding maps from a manifold to itself, and show in particular that a generic expanding map of the circle has no absolutely continuous invariant probability measure. This is in contrast with the situation for or expanding maps, for which it is known that there is always a unique absolutely continuous invariant probability measure.