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18,249
RECURRENT SURFACE HOMEOMORPHISMS
, 2003
"... Abstract. An orientationpreserving recurrent homeomorphism of the twosphere which is not the identity is shown to admit exactly two fixed points. A recurrent homeomorphism of a compact surface with negative Euler characteristic is periodic. 1. ..."
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Abstract. An orientationpreserving recurrent homeomorphism of the twosphere which is not the identity is shown to admit exactly two fixed points. A recurrent homeomorphism of a compact surface with negative Euler characteristic is periodic. 1.
Simple Braids for Surface Homeomorphisms
, 2003
"... Let S be a compact, oriented surface with negative Euler characteristic and let f: S → S be a homeomorphism isotopic to the identity. If there exists a periodic orbit with a nonzero rotation vector (⃗p,q), then there exists a simple braid with the same rotation vector. ..."
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Let S be a compact, oriented surface with negative Euler characteristic and let f: S → S be a homeomorphism isotopic to the identity. If there exists a periodic orbit with a nonzero rotation vector (⃗p,q), then there exists a simple braid with the same rotation vector.
On the Classification of Surface Homeomorphisms Introduction.
"... The purpose of this article is to give a brief and elementary approach to the classification of mappingclasses for a surface with negative Euler characteristic. Work of Thurston ([9], [10], [7]) has brought out a deep analogy with the classical structure of the modular ..."
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The purpose of this article is to give a brief and elementary approach to the classification of mappingclasses for a surface with negative Euler characteristic. Work of Thurston ([9], [10], [7]) has brought out a deep analogy with the classical structure of the modular
On fiberpreserving isotopies of surface homeomorphisms
 Proc. Amer. Math. Soc
"... Abstract. We show that there are homeomorphisms of closed oriented genus g surfaces g which are berpreserving with respect to an irregular branched covering g! S2 and isotopic to the identity, but which are not berisotopic to the identity. The study of branched coverings of surfaces is a classical ..."
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Cited by 3 (1 self)
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Abstract. We show that there are homeomorphisms of closed oriented genus g surfaces g which are berpreserving with respect to an irregular branched covering g! S2 and isotopic to the identity, but which are not berisotopic to the identity. The study of branched coverings of surfaces is a
Aperiodic invariant continua for surface homeomorphisms
, 2008
"... Abstract. We prove that if a homeomorphism of a closed orientable surface S has no wandering points and leaves invariant a compact, connected set K which contains no periodic points, then either K = S = T 2, or K is the intersection of a decreasing sequence of annuli. A version for nonorientable su ..."
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Cited by 7 (4 self)
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Abstract. We prove that if a homeomorphism of a closed orientable surface S has no wandering points and leaves invariant a compact, connected set K which contains no periodic points, then either K = S = T 2, or K is the intersection of a decreasing sequence of annuli. A version for non
MAXIMAL ENTROPY MEASURES FOR PIECEWISE AFFINE SURFACE HOMEOMORPHISMS
, 2009
"... We study the dynamics of piecewise affine surface homeomorphisms from the point of view of their entropy. Under the assumption of positive topological entropy, we establish the existence of finitely many ergodic and invariant probability measures maximizing entropy and prove a multiplicative lower ..."
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Cited by 6 (1 self)
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We study the dynamics of piecewise affine surface homeomorphisms from the point of view of their entropy. Under the assumption of positive topological entropy, we establish the existence of finitely many ergodic and invariant probability measures maximizing entropy and prove a multiplicative lower
Computing Triangulations of Mapping Tori of Surface Homeomorphisms
, 2001
"... We present the mathematical background of a software package that computes triangulations of mapping tori of surface homeomorphisms, suitable for Jeff Weeks’s program SnapPea. The package is an extension of the software described in [Bri00]. It consists of two programs. jmt computes triangulations a ..."
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Cited by 4 (0 self)
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We present the mathematical background of a software package that computes triangulations of mapping tori of surface homeomorphisms, suitable for Jeff Weeks’s program SnapPea. The package is an extension of the software described in [Bri00]. It consists of two programs. jmt computes triangulations
Locally connected exceptional minimal sets of surface homeomorphisms
"... One of substantial problems in dynamical systems is to characterize the topological types of minimal sets. In this paper, we are concerned with locally connected minimal sets of surface homeomorphisms. In the case of a homeomorphism of a closed orientable surface different from the torus, we obtain ..."
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Cited by 9 (1 self)
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One of substantial problems in dynamical systems is to characterize the topological types of minimal sets. In this paper, we are concerned with locally connected minimal sets of surface homeomorphisms. In the case of a homeomorphism of a closed orientable surface different from the torus, we obtain
An Implementation of the BestvinaHandel Algorithm for Surface Homeomorphisms
, 1999
"... In [BH95], Bestvina and Handel describe an effective algorithm that determines whether a given homeomorphism of an orientable, possibly punctured surface is pseudoAnosov. We present a software package in Java that realizes this algorithm for surfaces with one puncture. Moreover, the package allows ..."
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Cited by 9 (4 self)
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In [BH95], Bestvina and Handel describe an effective algorithm that determines whether a given homeomorphism of an orientable, possibly punctured surface is pseudoAnosov. We present a software package in Java that realizes this algorithm for surfaces with one puncture. Moreover, the package allows
Surface homeomorphisms with zerodimensional singular set
 Topology Appl
, 1998
"... Abstract. We prove that if f is an orientationpreserving homeomorphism of a closed orientable surface M 2 whose singular set Σ(f) is totally disconnected, then f is topologically conjugate to a conformal transformation. ..."
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Cited by 6 (1 self)
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Abstract. We prove that if f is an orientationpreserving homeomorphism of a closed orientable surface M 2 whose singular set Σ(f) is totally disconnected, then f is topologically conjugate to a conformal transformation.
Results 1  10
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18,249