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European Women in Mathematics and the European Mathematical Society’s Women in Mathematics Committee
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International Initiatives for Women Mathematicians
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Limits of limit sets I
We show that for a strongly convergent sequence of geometrically finite Kleinian groups with geometrically finite limit, the Cannon–Thurston maps of limit sets converge uniformly. If however the algebraic and ...
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Lines of Minima and Teichmüller Geodesics
For two measured laminations ν+ and ν− that fill up a hyperbolizable surface S and for \(t\,\in\,(-\infty,\infty)\) , ...
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On Kerckhoff Minima and Pleating Loci for Quasi-Fuchsian Groups
We show how Kerckhoff's results on minima of length functions on Teichmüller space can be used to analyse the possible bending loci of the boundary of the convex hull for quasi-Fuchsian groups near to the Fuch...
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Combinatorics of simple closed curves on the twice punctured torus
In the standard enumeration of homotopy classes of curves on a surface as words in a generating set for the fundamental group it is a very hard problem to discern those that are simple. In this paper we descri...
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Bending formulae for convex hull boundaries
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The geometry of markoff numbers
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Martin boundaries of random walks on Fuchsian groups
Let Γ be a finitely generated non-elementary Fuchsian group, and let μ be a probability measure with finite support on Γ such that supp μ generates Γ as a semigroup. If Γ contains no parabolic elements we show...
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Non-euclidean geometry, continued fractions, and ergodic theory
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Symbolic dynamics for geodesic floes
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Markov maps associated with fuchsian groups
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Additional comments
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Foliations of polynomial growth are hyperfinite
We define a class of equivalence relations with polynomial growth and show that such relations always support finite invariant measures and are hyperfinite. In particular, foliations of polynomial growth defin...
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The Rohlin tower theorem and hyper-finiteness for actions of continuous groups
We prove the Rohlin tower theorem for free measure preserving actions of locally compact second countable solvable groups and almost connected amenable groups. This theorem was known for l.c.s.c. abelian group...