Zobrazeno 1 - 10
of 10 239
pro vyhledávání: '"math.MG"'
Autor:
Kousholt, Astrid, Schulte, Julia
We investigate how much information about a convex body can be retrieved from a finite number of its geometric moments. We give a sufficient condition for a convex body to be uniquely determined by a finite number of its geometric moments, and we sho
Externí odkaz:
http://arxiv.org/abs/1605.06362
Autor:
Kari, Jarkko, Rissanen, Markus
Publikováno v:
Discrete and Computational Geometry 55, pages 972-996 (2016)
In this paper we prove the existence of quasiperiodic rhombic substitution tilings with 2n-fold rotational symmetry, for any n. The tilings are edge-to-edge and use [n/2] rhombic prototiles with unit length sides. We explicitly describe the substitut
Externí odkaz:
http://arxiv.org/abs/1512.01402
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:
Escudero, Juan Garc��a
Publikováno v:
Journal of Geometry and Symmetry in Physics. 65:1-39
We study the construction of substitution tilings of the plane based on certain simplicial configurations of tangents of the deltoid with evenly distributed orientations. The random tiling ensembles are obtained as a result of tile rearrangements in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::01e3ff99aa6c53a35d8c93e863e3e4de
https://doi.org/10.7546/jgsp-65-2023-1-39
https://doi.org/10.7546/jgsp-65-2023-1-39
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