Displaying similar documents to “Groups associated with minimal flows”

Quasitrivial semimodules. I.

Khaldoun Al-Zoubi, Tomáš Kepka, Petr Němec (2008)

Acta Universitatis Carolinae. Mathematica et Physica

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On sandwich sets and congruences on regular semigroups

Mario Petrich (2006)

Czechoslovak Mathematical Journal

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Let S be a regular semigroup and E ( S ) be the set of its idempotents. We call the sets S ( e , f ) f and e S ( e , f ) one-sided sandwich sets and characterize them abstractly where e , f ∈ E ( S ) . For a , a ' ∈ S such that a = a a ' a , a ' = a ' a a ' , we call S ( a ) = S ( a ' a , a a ' ) the sandwich set of a . We characterize regular semigroups S in which all S ( e , f ) (or all S ( a ) ) are right zero semigroups (respectively are trivial) in several ways including weak versions of compatibility of the natural order. For every a ∈ S , we also define E ( a ) as the set of all idempotets e such that, for any congruence...

Quasitrivial semimodules. III.

Khaldoun Al-Zoubi, Tomáš Kepka, Petr Němec (2009)

Acta Universitatis Carolinae. Mathematica et Physica

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Flows near compact invariant sets. Part I

Pedro Teixeira (2013)

Fundamenta Mathematicae

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It is proved that near a compact, invariant, proper subset of a C⁰ flow on a locally compact, connected metric space, at least one, out of twenty eight relevant dynamical phenomena, will necessarily occur. Theorem 1 shows that the connectedness of the phase space implies the existence of a considerably deeper classification of topological flow behaviour in the vicinity of compact invariant sets than that described in the classical theorems of Ura-Kimura and Bhatia. The proposed classification...

Flow compactifications of nondiscrete monoids, idempotents and Hindman’s theorem

Richard N. Ball, James N. Hagler (2003)

Czechoslovak Mathematical Journal

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We describe the extension of the multiplication on a not-necessarily-discrete topological monoid to its flow compactification. We offer two applications. The first is a nondiscrete version of Hindman’s Theorem, and the second is a characterization of the projective minimal and elementary flows in terms of idempotents of the flow compactification of the monoid.

On the L 2 -instability and L 2 -controllability of steady flows of an ideal incompressible fluid

Alexander Shnirelman (1999)

Journées équations aux dérivées partielles

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In the existing stability theory of steady flows of an ideal incompressible fluid, formulated by V. Arnold, the stability is understood as a stability with respect to perturbations with small in L 2 vorticity. Nothing has been known about the stability under perturbation with small energy, without any restrictions on vorticity; it was clear that existing methods do not work for this (the most physically reasonable) class of perturbations. We prove that in fact, every nontrivial steady...