Approximate roots of pseudo-Anosov diffeomorphisms

T. M. Gendron

Displaying similar documents to “Approximate roots of pseudo-Anosov diffeomorphisms”

On the minimum dilatation of pseudo-Anosov homeromorphisms on surfaces of small genus

Erwan Lanneau, Jean-Luc Thiffeault (2011)

Annales de l’institut Fourier

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We find the minimum dilatation of pseudo-Anosov homeomorphisms that stabilize an orientable foliation on surfaces of genus three, four, or five, and provide a lower bound for genus six to eight. Our technique also simplifies Cho and Ham’s proof of the least dilatation of pseudo-Anosov homeomorphisms on a genus two surface. For genus $g = 2$ to $5$ , the minimum dilatation is the smallest Salem number for polynomials of degree $2 g$ .

Tilings associated with non-Pisot matrices

Maki Furukado, Shunji Ito, E. Arthur Robinson (2006)

Annales de l’institut Fourier

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Suppose $A \in G l_{d} (ℤ)$ has a 2-dimensional expanding subspace $E^{u}$ , satisfies a regularity condition, called “good star”, and has $A^{*} \geq 0$ , where $A^{*}$ is an of $A$ . A morphism $θ$ of the free group on ${1, 2, \dots, d}$ is called a of $A$ if it has structure matrix $A$ . We show that there is a $Θ$ whose “boundary substitution” $θ = \partial Θ$ is a non-abelianization of $A$ . Such a tiling substitution $Θ$ leads to a self-affine tiling of $E^{u} \sim ℝ^{2}$ with $A_{u} {: = A |}_{E_{u}} \in G L_{2} (ℝ)$ as its expansion. In the last section we find conditions on $A$ so that $A^{*}$ has no negative entries. ...

Pseudo-bosons from Landau levels.

Bagarello, Fabio (2010)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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Pseudo orbit tracing property and fixed points

Masatoshi Oka (1996)

Annales Polonici Mathematici

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If a continuous map f of a compact metric space has the pseudo orbit tracing property and is h-expansive then the set of all fixed points of f is totally disconnected.

Non-trivial $Ш$ in the Jacobian of an infinite family of curves of genus 2

Anna Arnth-Jensen, E. Victor Flynn (2009)

Journal de Théorie des Nombres de Bordeaux

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We give an infinite family of curves of genus 2 whose Jacobians have non-trivial members of the Tate-Shafarevich group for descent via Richelot isogeny. We prove this by performing a descent via Richelot isogeny and a complete 2-descent on the isogenous Jacobian. We also give an explicit model of an associated family of surfaces which violate the Hasse principle.

On a geometric property of positive definite matrices cone.

Ito, Masatoshi, Seo, Yuki, Yamazaki, Takeaki, Yanagida, Masahiro (2009)

Banach Journal of Mathematical Analysis [electronic only]

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The solution of Kato's conjecture (after Auscher, Hofmann, Lacey, McIntosh and Tchamitchian)

Philippe Tchamitchian (2001)

Journées équations aux dérivées partielles

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Kato’s conjecture, stating that the domain of the square root of any accretive operator $L = - div (A \nabla)$ with bounded measurable coefficients in $ℝ^{n}$ is the Sobolev space $H^{1} (ℝ^{n})$ , i.e. the domain of the underlying sesquilinear form, has recently been obtained by Auscher, Hofmann, Lacey, McIntosh and the author. These notes present the result and explain the strategy of proof.

Some families of pseudo-processes

J. Kłapyta (1994)

Annales Polonici Mathematici

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We introduce several types of notions of dis persive, completely unstable, Poisson unstable and Lagrange uns table pseudo-processes. We try to answer the question of how many (in the sense of Baire category) pseudo-processes with each of these properties can be defined on the space $ℝ^{m}$ . The connections are discussed between several types of pseudo-processes and their limit sets, prolongations and prolongational limit sets. We also present examples of applications of the above results to...