scholarly journals Linearization of topologically Anosov homeomorphisms of non compact surfaces of genus zero and finite type

2021 ◽  
pp. 1-11
Author(s):  
Gonzalo Cousillas ◽  
Jorge Groisman ◽  
Juliana Xavier
Keyword(s):  
Finite Type ◽  
Compact Surface ◽  
Genus Zero ◽  
Compact Surfaces

We study the dynamics of {\it topologically Anosov} homeomorphisms of non-compact surfaces. In the case of surfaces of genus zero and finite type, we classify them. We prove that if $f\colon S \to S$, is a Topologically Anosov homeomorphism where $S$ is a non-compact surface of genus zero and finite type, then $S= \mathbb{R}^2$ and $f$ is conjugate to a homothety or reverse homothety (depending on wether $f$ preserves or reverses orientation). A weaker version of this result was conjectured in \cite{cgx}.

Foliations with Singularities of Morse Type on Compact Surface of Genus Zero

2006 ◽  
Vol 169 (1) ◽  
pp. 81-88
Author(s):  
Charalambos Charitos
Keyword(s):  
Compact Surface ◽  
Genus Zero

SELF-INTERSECTION NUMBERS OF PATHS IN COMPACT SURFACES

2011 ◽  
Vol 20 (03) ◽  
pp. 403-410 ◽  
Author(s):  
LORENA ARMAS-SANABRIA ◽  
FRANCISCO GONZÁLEZ-ACUÑA ◽  
JESÚS RODRÍGUEZ-VIORATO
Keyword(s):  
Free Group ◽  
Intersection Number ◽  
Compact Surface ◽  
Simple Path ◽  
Intersection Numbers ◽  
Minimal Self ◽  
Compact Surfaces

In this paper, we give an algorithm to calculate the minimal self-intersection number of paths in a compact surface with boundary representing a given element of the free group F(x1, x2, …, xn). In particular, this algorithm says whether or not a word in x1, x2, …, xn is representable by a simple path. Our algorithm is simpler than similar algorithms given previously. In the case of a disk with n holes the problem is equivalent to the problem of deciding which relators can appear in an Artin n-presentation.

scholarly journals Transitivity of surface dynamics lifted to Abelian covers

2009 ◽  
Vol 29 (5) ◽  
pp. 1417-1449 ◽  
Author(s):  
PHILIP BOYLAND
Keyword(s):  
Finite Type ◽  
Spectral Radius ◽  
Compact Surface ◽  
Surface Dynamics ◽  
Subshift Of Finite Type ◽  
Abelian Cover ◽  
Abelian Covers

AbstractA homeomorphismfof a manifoldMis calledH1-transitive if there is a transitive lift of an iterate offto the universal Abelian cover$\tilde {M}$. Roughly speaking, this means thatfhas orbits which repeatedly and densely explore all elements ofH1(M). For a rel pseudo-Anosov map ϕ of a compact surfaceMwe show that the following are equivalent: (a) ϕ isH1-transitive, (b) the action of ϕ onH1(M) has spectral radius one and (c) the lifts of the invariant foliations of ϕ to$\tilde {M}$have dense leaves. The proof relies on a characterization of transitivity for twisted ℤd-extensions of a transitive subshift of finite type.

scholarly journals A Note on a Multiplicity Result for the Mean Field Equation on Compact Surfaces

2016 ◽  
Vol 16 (2) ◽  
Author(s):  
Aleks Jevnikar
Keyword(s):  
Field Equation ◽  
Mean Field ◽  
Compact Surface ◽  
Multiplicity Result ◽  
The Mean ◽  
Compact Surfaces ◽  
Mean Field Equation

AbstractWe are concerned with the class of equations with exponential nonlinearitieson a compact surface Σ, which describes the mean field equation of equilibrium turbulence with arbitrarily signed vortices. Here,

scholarly journals A diagrammatic presentation and its characterization of non-split compact surfaces in the 3-sphere

2021 ◽  
Author(s):  
Shosaku Matsuzaki
Keyword(s):  
Compact Surface ◽  
Reidemeister Moves ◽  
Trivalent Graphs ◽  
Embedded Surfaces ◽  
Compact Surfaces

We give a presentation for a non-split compact surface embedded in the 3-sphere [Formula: see text] by using diagrams of spatial trivalent graphs equipped with signs and we define Reidemeister moves for such signed diagrams. We show that two diagrams of embedded surfaces are related by Reidemeister moves if and only if the surfaces represented by the diagrams are ambient isotopic in [Formula: see text].

scholarly journals Semi-rigidity of horocycle flows over compact surfaces of variable negative curvature

1987 ◽  
Vol 7 (1) ◽  
pp. 49-72 ◽  
Author(s):  
J. Feldman ◽  
D. Ornstein
Keyword(s):  
Invariant Measure ◽  
Tangent Bundle ◽  
Geodesic Flow ◽  
Negative Curvature ◽  
Compact Surface ◽  
Maximal Entropy ◽  
Unit Tangent Bundle ◽  
Compact Surfaces ◽  
Measure Of Maximal Entropy

AbstractLet g be the geodesic flow on the unit tangent bundle of a C3 compact surface of negative curvature. Let μ be the g-invariant measure of maximal entropy. Let h be a uniformly parametrized flow along the horocycle foliation, i.e., such a flow exists, leaves μ invariant, and is unique up to constant scaling of the parameter (Margulis). We show that any measure-theoretic conjugacy: (h, μ) → (h′, μ′) is a.e. of the form θ, where θ is a homeomorphic conjugacy: g → g′. Furthermore, any homeomorphic conjugacy g → g′; must be a C1 diffeomorphism.

Ideal tilings and symbolic dynamics for negatively curved surfaces

2011 ◽  
Vol 31 (6) ◽  
pp. 1697-1726
Author(s):  
DAVID FRIED
Keyword(s):  
Finite Type ◽  
Symbolic Dynamics ◽  
Negative Curvature ◽  
Universal Cover ◽  
Compact Surface ◽  
Curved Surfaces ◽  
Modular Surface ◽  
Negatively Curved

AbstractLet X be a non-compact surface (or 2-orbifold) of finite type with a metric of strictly negative curvature. Using an ideal tiling of the universal cover of X, we give a symbolic description of the recurrent geodesics on X. This extends Series’s method of coding geodesics on the modular surface.

Compact Surface-mount Wideband and Multi-band Internal Chip Antenna for Mobile Handset

PIERS Online ◽  
2007 ◽  
Vol 3 (7) ◽  
pp. 1044-1047 ◽  
Author(s):  
Hyengcheul Choi ◽  
D. S. Shin ◽  
S. U. Park ◽  
Hyeong Dong Kim
Keyword(s):  
Compact Surface ◽  
Surface Mount ◽  
Mobile Handset ◽  
Multi Band

CORROSION PROTECTION OF ELECTROLESS PLATING Ni-P INCLUDING TiN NANOPARTICLES FOR BIPOLAR PLATES OF PEMFCs

2018 ◽  
Vol 25 (02) ◽  
pp. 1850052 ◽  
Author(s):  
GAO PINGPING ◽  
OUYANG CHUN ◽  
XIE ZHIYONG ◽  
TAO TAO
Keyword(s):  
Corrosion Resistance ◽  
Surface Morphology ◽  
Electroless Plating ◽  
Shell Structure ◽  
Compact Surface ◽  
Proton Exchange ◽  
Core Shell ◽  
Tin Coating ◽  
Sem Images ◽  
Core Shell Structure

The Ni-P/TiN coating was used as bipolar plate by electroless plating on Ti. Surface morphology and phase structure of the coatings were characterized by SEM and XRD, respectively. Corrosion resistance of Ni-P and Ni-P/TiN coating was measured in the simulated solution of Proton exchange membrane fuel cells (PEMFCs). The interfacial contact resistance (ICR) was conducted by applied different forces. SEM images indicated that the particles of core–shell structure were formed on the surface of coating on Ti substrate. The core–shell structure was composed of TiN core and Ni-P electroless plating shell. Compared with Ni-P coatings, the Ni-P/TiN coating showed better corrosion resistance behaviors and low ICR (below 10[Formula: see text]m[Formula: see text][Formula: see text] cm[Formula: see text] under pressure of 200 N/cm[Formula: see text]. TiN particles and distribution of core–shell were in favor of the formation of coating and compact surface morphology. The good conductivity was attributed to the compact surface morphology of coating. The Ni-P/TiN coating showed excellent interfacial conductivity and good corrosion resistance at applied high potential in simulated solution of PEMFCs.

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