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Displaying 21 – 27 of 27

Strongly continuous integrated C-cosine operator functions

Shen Wang, Zhen Huang (1997)

Studia Mathematica

We extend some recent results for regularized semigroups to strongly continuous n-times integrated C-cosine operator functions. Several equivalent conditions for the existence and uniqueness of solutions of (ACP $_{2}$ ) are also presented.

Structure of mixing and category of complete mixing for stochastic operators

Anzelm Iwanik, Ryszard Rębowski (1992)

Annales Polonici Mathematici

Let T be a stochastic operator on a σ-finite standard measure space with an equivalent σ-finite infinite subinvariant measure λ. Then T possesses a natural "conservative deterministic factor" Φ which is the Frobenius-Perron operator of an invertible measure preserving transformation φ. Moreover, T is mixing ("sweeping") iff φ is a mixing transformation. Some stronger versions of mixing are also discussed. In particular, a notion of *L¹-s.o.t. mixing is introduced and characterized in terms of weak...

Support overlapping $L_{1}$ contractions and exact non-singular transformations

Michael Lin (2000)

Colloquium Mathematicae

Let T be a positive linear contraction of $L_{1}$ of a σ-finite measure space (X,Σ,μ) which overlaps supports. In general, T need not be completely mixing, but it is in the following cases: (i) T is the Frobenius-Perron operator of a non-singular transformation ϕ (in which case complete mixing is equivalent to exactness of ϕ). (ii) T is a Harris recurrent operator. (iii) T is a convolution operator on a compact group. (iv) T is a convolution operator on a LCA group.

Sur la convergence ponctuelle de $\frac{T^{n} f}{n^{α}}$ , dans $L^{P}$

Idris Assani, Radko Mesiar (1985)

Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications

Sur la frontière de Martin des processus de Markov à temps discret

Yves Derriennic (1973)

Annales de l'I.H.P. Probabilités et statistiques

Sur le théorème de Alaoglu-Birkhoff

François Aribaud (1970/1971)

Séminaire Choquet. Initiation à l'analyse

Système dynamique à spectre discret et pavage périodique associé à une substitution

Anne Siegel (2004)

Annales de l’institut Fourier

On donne une condition combinatoire effective suffisante pour que le sytème dynamique associé à une substitution de type Pisot ait un spectre purement discret. Dans le cas unimodulaire, cette condition est nécessaire dès que la substitution n'a qu'un cobord trivial ; elle est vérifiée si et seulement si le fractal de Rauzy associé à la substitution engendre un pavage auto-similaire et périodique. On en déduit des conditions de connexité des fractals de Rauzy.

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