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   Articles with "weil petersson" as a keyword



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The Weil–Petersson curvature operator on the universal Teichmüller space

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recommendations! Published in 2019 at "Mathematische Annalen"

DOI: 10.1007/s00208-017-1616-1

Abstract: The universal Teichmüller space is an infinitely dimensional generalization of the classical Teichmüller space of Riemann surfaces. It carries a natural Hilbert structure, on which one can define a natural Riemannian metric, the Weil–Petersson metric.… read more here.

Keywords: weil petersson; space; teichm ller; ller space ... See more keywords
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Rates of mixing for the Weil-Petersson geodesic flow I: no rapid mixing in non-exceptional moduli spaces

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recommendations! Published in 2017 at "Advances in Mathematics"

DOI: 10.1016/j.aim.2016.10.026

Abstract: Abstract We show that the rate of mixing of the Weil–Petersson flow on non-exceptional (higher dimensional) moduli spaces of Riemann surfaces is at most polynomial. read more here.

Keywords: weil petersson; moduli spaces; mixing weil; non exceptional ... See more keywords
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Weil–Petersson translation length and manifolds with many fibered fillings

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recommendations! Published in 2021 at "Advances in Mathematics"

DOI: 10.1016/j.aim.2020.107457

Abstract: We prove that any mapping torus of a pseudo-Anosov mapping class with bounded normalized Weil-Petersson translation length contains a finite set of transverse and level closed curves, and drilling out this set of curves results… read more here.

Keywords: translation length; weil petersson; length manifolds; petersson translation ... See more keywords
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Thermodynamic metrics on outer space

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recommendations! Published in 2022 at "Ergodic Theory and Dynamical Systems"

DOI: 10.1017/etds.2021.165

Abstract: In this paper we consider two piecewise Riemannian metrics defined on the Culler–Vogtmann outer space which we call the entropy metric and the pressure metric. As a result of work of McMullen, these metrics can… read more here.

Keywords: petersson metric; outer space; weil petersson; metrics outer ... See more keywords
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A high-genus asymptotic expansion of Weil–Petersson volume polynomials

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recommendations! Published in 2022 at "Journal of Mathematical Physics"

DOI: 10.1063/5.0039385

Abstract: The object under consideration in this article is the total volume V g, n( x1, …, x n) of the moduli space of hyperbolic surfaces of genus g with n boundary components of lengths x1,… read more here.

Keywords: asymptotic expansion; petersson volume; volume; expansion ... See more keywords
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Smoothness and strongly pseudoconvexity of p-Weil–Petersson metric

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recommendations! Published in 2019 at "Annales Academiae Scientiarum Fennicae Mathematica"

DOI: 10.5186/aasfm.2019.4413

Abstract: The Teichmüller space of a Riemann surface of analytically finite type has a complex structure modeled on the complex Hilbert space consisting of harmonic Beltrami differentials on the surface equipped with hyperbolic L-norm. The Weil–… read more here.

Keywords: ller space; teichm ller; petersson metric; space ... See more keywords