Výsledky vyhledávání - "Bjoern Muetzel"

Akademický článek

A neutral model of transcriptome evolution.

Autor: Philipp Khaitovich, Gunter Weiss, Michael Lachmann, Ines Hellmann, Wolfgang Enard, Bjoern Muetzel, Ute Wirkner, Wilhelm Ansorge, Svante Pääbo

Publikováno v: PLoS Biology, Vol 2, Iss 5, p E132 (2004)

Microarray technologies allow the identification of large numbers of expression differences within and between species. Although environmental and physiological stimuli are clearly responsible for changes in the expression levels of many genes, it is

Externí odkaz: https://doaj.org/article/48db83758d7b40c0993d85da31404274

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Length spectrum of geodesic loops in manifolds of non-positive curvature

Autor: Bjoern Muetzel

Publikováno v: Journal of Geometry. 109

In Sect. 1 we reformulate a theorem of Blichfeldt in the framework of manifolds of non-positive curvature. As a result we obtain a lower bound on the number of homotopically distinct geodesic loops emanating from a common point q whose length is smal

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ab954addc5ceb61026fa77b78c80a9ae
https://doi.org/10.1007/s00022-018-0449-8

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Systolic geometry of translation surfaces

Autor: Tobias Columbus, Frank Herrlich, Bjoern Muetzel, Gabriela Weitze-Schmithüsen

In this paper we investigate the systolic landscape of translation surfaces for fixed genus and fixed angles of their cone points. We furthermore study how the systoles of a translation surface relate to the systoles of its graph of saddle connection

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::21b2b72317309be7a26ed01fb5f9c61a
http://arxiv.org/abs/1809.10327

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On the intersection form of surfaces

Autor: Bjoern Muetzel, Daniel Massart

Publikováno v: manuscripta mathematica
manuscripta mathematica, Springer Verlag, 2014, 143 (1), pp.19-49. ⟨10.1007/s00229-013-0615-0⟩

Given a closed, oriented surface M, the algebraic intersection of closed curves induces a symplectic form Int(.,.) on the first homology group of M. If M is equipped with a Riemannian metric g, the first homology group of M inherits a norm, called th

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::50c9502c19d868579b96d25ddbf460b0
http://arxiv.org/abs/1302.4692

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Construction of hyperbolic Riemann surfaces with large systoles

Autor: Bjoern Muetzel, Hugo Akrout

Let $S$ be a compact hyperbolic Riemann surface of genus $g \geq 2$. We call a systole a shortest simple closed geodesic in $S$ and denote by $\mathop{sys}(S)$ its length. Let $\mathop{msys(g)}$ be the maximal value that $\mathop{sys}(\cdot)$ can att

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aeaad8e85c6cda88c4b2d0581396875a

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Inequalities for the capacity of non-contractible annuli on cylinders of constant and variable negative curvature

Autor: Bjoern Muetzel

Publikováno v: Geometriae Dedicata
Geometriae Dedicata, Springer Verlag, 2012, pp.online first. ⟨10.1007/s10711-012-9788-z⟩

Using a new method we give elementary estimates for the capacity of non-contractible annuli on cylinders and provide examples, where these inequalities are sharp. Here the lower bound depends only on the area of the annulus. In the case of constant c

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a514a9a20dc52d45456de3c8185e3809
https://hal.archives-ouvertes.fr/hal-00803387

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The Jacobian of a Riemann surface and the geometry of the cut locus of simple closed geodesics

Autor: Bjoern Muetzel

To any compact Riemann surface of genus g one may assign a principally polarized abelian variety of dimension g, the Jacobian of the Riemann surface. The Jacobian is a complex torus, and a Gram matrix of the lattice of a Jacobian is called a period G

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a1d821cabb9d0107d25a8feb65b851a9
https://hal.archives-ouvertes.fr/hal-00803381

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A new lower bound for Hermite's constant for symplectic lattices

Autor: Bjoern Muetzel

Publikováno v: International Journal of Number Theory
International Journal of Number Theory, World Scientific Publishing, 2012, 8 (4), pp.1067-1080. ⟨10.1142/S1793042112500637⟩

In section 1 we give an improved lower bound on Hermite's constant $\delta_{2g}$ for symplectic lattices in even dimensions ($g=2n$) by applying a mean-value argument from the geometry of numbers to a subset of symmetric lattices. Here we obtain only

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cd969c38213ae56c5c742e8aa6aa37ec
http://arxiv.org/abs/1105.2752

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On the second successive minimum of the Jacobian of a Riemann surface

Autor: Bjoern Muetzel

To a compact Riemann surface of genus g can be assigned a principally polarized abelian variety (PPAV) of dimension g, the Jacobian of the Riemann surface. The Schottky problem is to discern the Jacobians among the PPAVs. Buser and Sarnak showed, tha

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2b20916bda3f0f3376010bcf7adf9dce
http://arxiv.org/abs/1008.2233

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