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Generalized Riesz Products on the Bohr compactification of $\R$
Generalized Riesz products almost periodic functions Bohr compactification mean value Besicovitch space Kac Central Limit Theorem Kakutani criterion
2012/6/19
We study a class of generalized Riesz products connected to the spectral type of some class of rank one flows on $\R$. Applying a Central Limit Theorem of Kac, we exhibit a large class of singular gen...
Symmetries of Julia sets of polynomial skew products on C^2
Complex dynamics skew product Green function
2012/4/18
We consider the symmetries of Julia sets of polynomial skew products on C^2, which are birationally conjugate to rotational products. Our main results give the classification of the polynomial skew pr...
Postcritical sets and saddle basic sets for Axiom A polynomial skew products on C^2
Postcritical sets saddle basic sets Axiom A polynomial skew products C^2
2012/2/29
Investigating the link between postcritical behaviors and the relations of saddle basic sets for Axiom A polynomial skew products on C^2, we characterize various properties concerning the three kinds ...
Simple Spectrum for Tensor Products of Mixing Map Powers
Tensor Products Mixing Map Powers Dynamical Systems
2011/9/20
Abstract: We prove the existence of a mixing rank one map $T$ such that the product $T\otimes T^2\otimes T^3\otimes...$ has simple spectrum. This result is used in S.V. Thikhonov's proof of the existe...
On tensor products of weak mixing vector sequences and their applications to C*-dynamical systems
Uniform weak mixing weak mixing ergodicity
2010/11/29
We prove that, under certain conditions, uniform weak mixing (to zero)of the bounded sequences in Banach space implies uniform weak mixing of its tensor product. Moreover, we prove that ergodicity of ...