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Displaying 61 – 80 of 155

Regular AF subalgebras of some crossed products.

Rada, Catalin (2009)

The New York Journal of Mathematics [electronic only]

Regular and chaotic regimes in scalar field cosmology.

Toporensky, Alexey V. (2006)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Regular and limit sets for holomorphic correspondences

S. Bullett, C. Penrose (2001)

Fundamenta Mathematicae

Holomorphic correspondences are multivalued maps $f = Q ̃ ₊ Q ̃ ₋^{- 1} : Z \to W$ between Riemann surfaces Z and W, where Q̃₋ and Q̃₊ are (single-valued) holomorphic maps from another Riemann surface X onto Z and W respectively. When Z = W one can iterate f forwards, backwards or globally (allowing arbitrarily many changes of direction from forwards to backwards and vice versa). Iterated holomorphic correspondences on the Riemann sphere display many of the features of the dynamics of Kleinian groups and rational maps, of which...

Regular projectively Anosov flows on three-dimensional manifolds

Masayuki Asaoka (2010)

Annales de l’institut Fourier

We give the complete classification of regular projectively Anosov flows on closed three-dimensional manifolds. More precisely, we show that such a flow must be either an Anosov flow or decomposed into a finite union of $T^{2} \times I$ -models. We also apply our method to rigidity problems of some group actions.

Regular projectively Anosov flows with compact leaves

Takeo Noda (2004)

Annales de l’institut Fourier

This paper concerns projectively Anosov flows $φ^{t}$ with smooth stable and unstable foliations $ℱ^{s}$ and $ℱ^{u}$ on a Seifert manifold $M$ . We show that if the foliation $ℱ^{s}$ or $ℱ^{u}$ contains a compact leaf, then the flow $φ^{t}$ is decomposed into a finite union of models which are defined on $T^{2} \times I$ and bounded by compact leaves, and therefore the manifold $M$ is homeomorphic to the 3-torus. In the proof, we also obtain a theorem which classifies codimension one foliations on Seifert manifolds with compact leaves which are incompressible...

We provide a crash course in weak KAM theory and review recent results concerning the existence and uniqueness of weak KAM solutions and their link with the so-called Mañé conjecture.