Axiom A

Known as: Axiom A diffeomorphism, Axiom A system, Morse–Smale diffeomorphism 
In mathematics, Smale's axiom A defines a class of dynamical systems which have been extensively studied and whose dynamics is relatively well… (More)
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Related topics

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7 relations
Dynamical systemHorseshoe mapMarkov partitionPerturbation theory
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Broader (1)

Ergodic theory

Papers overview

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2010
2010
The Bounded Axiom A Forcing Axiom
We introduce the Bounded Axiom A Forcing Axiom(BAAFA). It turns out that it is equiconsistent with the existence of a regular Σ2… (More)
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2008
2008
ON RICCI SOLITONS OF COHOMOGENEITY ONE
We analyse some properties of the cohomogeneity one Ricci soliton equations, and use Ansätze of cohomogeneity one type to produce… (More)
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2008
2008
Spectra of Ruelle transfer operators for Axiom A flows
  • Luchezar Stoyanov
  • 2008
For Axiom A flows on basic sets satisfying certain additional conditions we prove strong spectral estimates for Ruelle transfer… (More)
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Highly Cited
2007
Highly Cited
2007
THE CONJECTURES ON CONFORMAI, TRANSFOR- MATIONS OF RIEMANNIAN MANIFOLDS
  • 2007
0. IntroductionLet (My g) be a Riemannian manifold. If a Riemannian metric g* on M is related to g as g* =eg for some smooth… (More)
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Highly Cited
2007
Highly Cited
2007
Language Evolution by Iterated Learning With Bayesian Agents
Languages are transmitted from person to person and generation to generation via a process of iterated learning: people learn a… (More)
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2004
2004
SRB MEASURES FOR AXIOM A ENDOMORPHISMS
Let Λ be a basic set of an Axiom A endomorphism f on a n-dimensional compact Riemannian manifold. In this paper, we provide… (More)
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2002
2002
AXIOM A FLOWS WITH A TRANSVERSE TORUS
Let X be an Axiom A flow with a transverse torus T exhibiting a unique orbit O that does not intersect T . Suppose that there is… (More)
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1989
1989
Zermelo Theorem and Axiom of Choice
The article is continuation of [2] and [1], and the goal of it is show that Zermelo theorem (every set has a relation which well… (More)
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1987
1987
Distribution of Periodic Orbits of Symbolic and Axiom A Flows
Indeed, Margulis [lo] announced that for the geodesic flow on a d-dimensional compact manifold of curvature 1 the number of… (More)
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1975
1975
Bernoulli equilibrium states for axiom A diffeomorphisms
Then ~(Y~a) = Za and Y~a is compact. We say ZA is a subshift o f finite type if a: Za ---> Z.4 is topologically transitive (i.e… (More)
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