On the structure of the space of continuous maps with zero topological entropy
On the theorem of Gauss-Kusmin-Lévy and a Frobenius-type theorem for function spaces
On the theorem of Ivasev-Musatov. I
We give a new version of Ivasev-Musatov’s construction of a measure whose support has Lebesgue measure zero but whose Fourier transform drops away extremely rapidly.
On the theorem of Ivasev-Musatov. II
As in Part I [Annales de l’Inst. Fourier, 27-3 (1997), 97-113], our object is to construct a measure whose support has Lebesgue measure zero, but whose Fourier transform drops away extremely fast.
On the Thue-Morse measure
On the *topology and its application
On the topology of polynomials with bounded integer coefficients
For a real number and a positive integer , let . In this paper, we show that is dense in if and only if and is not a Pisot number. This completes several previous results and answers an open question raised by Erdös, Joó and Komornik [8].
On the transport of equilibrium states
On the two definitions of independence
On the uniform limit of quasi-continuous functions.
Estudiamos cuando el límite uniforme de una red de funciones cuasi-continuas con valores en un espacio localmente convexo X es también una función cuasi-continua, resaltando que esta propiedad depende del menor cardinal de un sistema fundamental de entornos de O en X, y estableciendo condiciones necesarias y suficientes. El principal resultado de este trabajo es el Teorema 15, en el que los resultados de [7] y [10] son mejorados, en relación al Teorema de L. Schwartz.
On the uniqueness of equilibrium states for piecewise monotone mappings
On the uniqueness of Lebesgue and Borel measures.
On the uniqueness of maximal operators for ergodic flows.
The uniqueness theorem for the ergodic maximal operator is proved in the continous case.
On the uniqueness of the ergodic maximal function
It is proved that the ergodic maximal operator is one-to-one.
On the uniqueness of the uncentered ergodic maximal function
It is shown that if two functions share the same uncentered (two-sided) ergodic maximal function, then they are equal almost everywhere.
On the uniqueness property for products of symmetric invariant probability measures.
On the Urysohn condition and the convergence of probability distributions
On the Variation in the Cohomology of the Symplectic Form of the Reduced Phase Space.
On the visibility of invisible sets.
On the Vitali covering properties of a differentiation basis