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pro vyhledávání: '"Buser, Peter"'
In this paper we continue to investigate the systolic landscape of translation surfaces started in [CHMW]. We show that there is an infinite sequence of surfaces $(S_{g_k})_k$ of genus $g_k$, where $g_k \to \infty$ with large systoles. On the other h
Externí odkaz:
http://arxiv.org/abs/2403.14923
We present four counterexamples in surface homology. The first example shows that even if the loops inducing a homology basis intersect each other at most once, they still may separate the surface into two parts. The other three examples show some di
Externí odkaz:
http://arxiv.org/abs/2304.13256
Given a hyperelliptic hyperbolic surface $S$ of genus $g \geq 2$, we find bounds on the lengths of homologically independent loops on $S$. As a consequence, we show that for any $\lambda \in (0,1)$ there exists a constant $N(\lambda)$ such that every
Externí odkaz:
http://arxiv.org/abs/2206.07213
Akademický článek
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We study the energy distribution of harmonic 1-forms on a compact hyperbolic Riemann surface $S$ where a short closed geodesic is pinched. If the geodesic separates the surface into two parts, then the Jacobian torus of $S$ develops into a torus that
Externí odkaz:
http://arxiv.org/abs/1810.05259
Autor:
Buser, Peter, Parlier, Hugo
The goal of the article is to provide different explicit quantifications of the non density of simple closed geodesics on hyperbolic surfaces. In particular, we show that within any embedded metric disk on a surface, lies a disk of radius only depend
Externí odkaz:
http://arxiv.org/abs/1806.00998
Publikováno v:
Israel Journal of Mathematics; Jun2024, Vol. 261 Issue 2, p977-1000, 24p
Akademický článek
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In this paper we construct quasiconformal embeddings from Y-pieces that contain a short boundary geodesic into degenerate ones. These results are used in a companion paper to study the Jacobian tori of Riemann surfaces that contain small simple close
Externí odkaz:
http://arxiv.org/abs/1311.0687
We give a number of examples of isospectral pairs of plane domains, and a particularly simple method of proving isospectrality. One of our examples is a pair of domains that are not only isospectral but homophonic: Each domain has a distinguished poi
Externí odkaz:
http://arxiv.org/abs/1005.1839