Zobrazeno 1 - 10
of 9 384
pro vyhledávání: '"Metric Geometry (math.MG)"'
Autor:
Das, Kajal, Tessera, Romain
Let $\Gamma_g$ be a surface group of genus $g\geq 2$. It is known that the canonical central extension $\tilde{\Gamma}_g$ and the direct product $\Gamma_g\times \mathbb{Z}$ are quasi-isometric. It is also easy to see that they are measure equivalent.
Externí odkaz:
http://arxiv.org/abs/1405.2667
Autor:
Sascha Troscheit
Publikováno v:
Annales Fennici Mathematici
The Minkowski content of a compact set is a fine measure of its geometric scaling. For Lebesgue null sets it measures the decay of the Lebesgue measure of epsilon neighbourhoods of the set. It is well known that self-similar sets, satisfying reasonab
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::19aca7d04d124d8d6ed13808700ffce4
https://afm.journal.fi/article/view/129638
https://afm.journal.fi/article/view/129638
Publikováno v:
Journal de théorie des nombres de Bordeaux. 35:219-246
We define spherical Heron triangles (spherical triangles with "rational" side-lengths and angles) and parametrize them via rational points of certain families of elliptic curves. We show that the congruent number problem has infinitely many solutions
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::405569e8b1e7ad464d14c9b5ac64151b
https://doi.org/10.5802/jtnb.1243
https://doi.org/10.5802/jtnb.1243
Autor:
N. D. Lebedeva, A. M. Petrunin
Publikováno v:
Siberian Mathematical Journal. 64:624-628
Graph comparison is a certain type of condition on metric space encoded by a finite graph. We show that any nontrivial graph comparison implies one of Alexandrov's comparisons. The proof gives a complete description of graphs with trivial graph compa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cf0f9044d1a325f0ee4570eaddc1472b
https://doi.org/10.1134/s0037446623030102
https://doi.org/10.1134/s0037446623030102
Autor:
Bruno Duchesne
Publikováno v:
HAL
We consider the isometry group of the infinite dimensional separable hyperbolic space with its Polish topology. This topology is given by the pointwise convergence. For non-locally compact Polish groups, some striking phenomena like automatic continu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9ddeb63c343d96db81c03238002cc1e0
https://doi.org/10.4171/ggd/713
https://doi.org/10.4171/ggd/713
Autor:
Masaru Ito, Bruno F. Lourenço
Publikováno v:
SIAM Journal on Applied Algebra and Geometry. 7:236-263
A hyperbolicity cone is said to be rank-one generated (ROG) if all its extreme rays have rank one, where the rank is computed with respect to the underlying hyperbolic polynomial. This is a natural class of hyperbolicity cones which are strictly more
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8346526a5d9b311618d5ceb1d7286861
https://doi.org/10.1137/22m1513964
https://doi.org/10.1137/22m1513964
Publikováno v:
Monatshefte für Mathematik. 201:703-724
Answering a question of Conway and Guy in a 1968 paper, L\'angi in 2021 proved the existence of a monostable polyhedron with $n$-fold rotational symmetry for any $n \geq 3$, and arbitrarily close to a Euclidean ball. In this paper we strengthen this
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::161aae4524443e6503173f262b576a78
https://doi.org/10.1007/s00605-023-01847-w
https://doi.org/10.1007/s00605-023-01847-w
Autor:
Liu, Jiayin
Publikováno v:
Annales Fennici Mathematici
In this paper, we show that circular $(s,t)$-Furstenberg sets in $\mathbb R^2$ have Hausdorff dimension at least $$\max\{\frac{t}3+s,(2t+1)s-t\} \text{ for all $0
Comment: 27 pages, 9 figures; incorporated referee's comments, results unchanged
Comment: 27 pages, 9 figures; incorporated referee's comments, results unchanged
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::36585eb88507d5cb7d70292b1f3d56f6
https://afm.journal.fi/article/view/128073
https://afm.journal.fi/article/view/128073
Autor:
Chung, Yeong Chyuan, Nowak, Piotr W.
Publikováno v:
Journal of Noncommutative Geometry. 17:305-331
We consider an $\ell^p$ coarse Baum-Connes assembly map for $1
Comment: 25 pages. Final version, to appear in Journal of Noncommutative Geometry. Subsection 2.2 in the previous version has been moved to the appendix
Comment: 25 pages. Final version, to appear in Journal of Noncommutative Geometry. Subsection 2.2 in the previous version has been moved to the appendix
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::47376b19e881fb57e80ca3235a478c86
https://doi.org/10.4171/jncg/498
https://doi.org/10.4171/jncg/498
Autor:
V. A. Alexandrov
Publikováno v:
Siberian Mathematical Journal. 64:269-286
The classical Cauchy rigidity theorem for convex polytopes reads that if two convex polytopes have isometric developments then they are congruent. In other words, we can decide whether two polyhedra are isometric or not by using their developments on
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::783f2e5cd1d105e73e8a3d86f200d42f
https://doi.org/10.1134/s0037446623020027
https://doi.org/10.1134/s0037446623020027