scholarly journals Rational factors, invariant foliations and algebraic disintegration of compact mixing Anosov flows of dimension 3

2021 ◽  
Vol 12 (2) ◽  
pp. 49-78
Author(s):  
Rémi Jaoui
Keyword(s):  
Anosov Flows

scholarly journals Pressure Function and Limit Theorems for Almost Anosov Flows

2021 ◽  
Vol 382 (1) ◽  
pp. 1-47
Author(s):  
Henk Bruin ◽  
Dalia Terhesiu ◽  
Mike Todd
Keyword(s):  
Thermodynamic Properties ◽  
Central Limit ◽  
Limit Theorems ◽  
Central Limit Theorems ◽  
Stable Laws ◽  
Analytic Framework ◽  
Pressure Function ◽  
Hyperbolic Flows ◽  
Anosov Flows ◽  
Almost Anosov

AbstractWe obtain limit theorems (Stable Laws and Central Limit Theorems, both standard and non-standard) and thermodynamic properties for a class of non-uniformly hyperbolic flows: almost Anosov flows, constructed here. The link between the pressure function and limit theorems is studied in an abstract functional analytic framework, which may be applicable to other classes of non-uniformly hyperbolic flows.

scholarly journals Vortices over Riemann surfaces and dominated splittings

2021 ◽  
pp. 1-26
Author(s):  
THOMAS METTLER ◽  
GABRIEL P. PATERNAIN
Keyword(s):  
Euler Characteristic ◽  
Tangent Bundle ◽  
Riemann Surfaces ◽  
Dominated Splitting ◽  
Vortex Equations ◽  
Special Cases ◽  
Unit Tangent Bundle ◽  
Anosov Flows

Abstract We associate a flow $\phi $ with a solution of the vortex equations on a closed oriented Riemannian 2-manifold $(M,g)$ of negative Euler characteristic and investigate its properties. We show that $\phi $ always admits a dominated splitting and identify special cases in which $\phi $ is Anosov. In particular, starting from holomorphic differentials of fractional degree, we produce novel examples of Anosov flows on suitable roots of the unit tangent bundle of $(M,g)$ .

scholarly journals Almost commensurability of 3-dimensional Anosov flows

2013 ◽  
Vol 351 (3-4) ◽  
pp. 127-129
Author(s):  
Pierre Dehornoy
Keyword(s):  
3 Dimensional ◽  
Anosov Flows

scholarly journals Global cross sections for Anosov flows

2015 ◽  
Vol 36 (8) ◽  
pp. 2661-2674
Author(s):  
SLOBODAN N. SIMIĆ
Keyword(s):  
Cross Section ◽  
Cross Sections ◽  
Anosov Flow ◽  
Anosov Flows ◽  
New Criterion ◽  
Volume Preserving

We provide a new criterion for the existence of a global cross section to a volume-preserving Anosov flow. The criterion is expressed in terms of expansion and contraction rates of the flow and generalizes known results of this type.

scholarly journals Upper Bound on the Density of Ruelle Resonances for Anosov Flows

2011 ◽  
Vol 308 (2) ◽  
pp. 325-364 ◽  
Author(s):  
Frédéric Faure ◽  
Johannes Sjöstrand
Keyword(s):  
Upper Bound ◽  
Anosov Flows

scholarly journals Sectional-Anosov Flows in Higher Dimensions

2015 ◽  
Vol 49 (1) ◽  
pp. 39-55 ◽  
Author(s):  
Andrés Mauricio López
Keyword(s):  
Higher Dimensions ◽  
Anosov Flows

Un flujo seccional-Anosov sobre una variedad es un C1 campo vectorial transversal a la frontera apuntando hacia el interior, para el cual su conjunto maximal invariante es un conjunto seccional hiperbólico [10]. Probamos que todo atractor de todo campo vectorial C1 próximo a un fl ujo seccional- Anosov transitivo con singularidades sobre una variedad compacta tiene una singularidad. Este resultado extiende el resultado tres-dimensional obtenido en [9].

scholarly journals Topological properties of sectional-Anosov flows

2015 ◽  
Vol 35 (10) ◽  
pp. 4735-4741 ◽  
Author(s):  
Enoch Humberto Apaza Calla ◽  
◽  
Bulmer Mejia Garcia ◽  
Carlos Arnoldo Morales Rojas ◽  
Keyword(s):  
Topological Properties ◽  
Anosov Flows
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