Zobrazeno 1 - 10
of 25 387
pro vyhledávání: '"Mathematics::Metric Geometry"'
Autor:
Khetan, Abhishek, Mj, Mahan
Publikováno v:
Annales de l'Institut Fourier. :1-49
We introduce notions of Cheeger constants for graphons and graphings. We prove Cheeger and Buser inequalities for these. On the way we prove co-area formulae for graphons and graphings.
Comment: 35 pgs, 4 figures; v2: 39 pgs, 5 figures. Relation
Comment: 35 pgs, 4 figures; v2: 39 pgs, 5 figures. Relation
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8dcf94988a243e30883fb611d556f4e4
https://doi.org/10.5802/aif.3584
https://doi.org/10.5802/aif.3584
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
Publikováno v:
Algebraic Combinatorics. 6:471-506
We derive presentations of the interval groups related to all quasi-Coxeter elements in the Coxeter group of type $D_n$. Type $D_n$ is the only infinite family of finite Coxeter groups that admits proper quasi-Coxeter elements. The presentations we o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::15b583bf4dd32f6f6cd98596ea086c97
https://doi.org/10.5802/alco.266
https://doi.org/10.5802/alco.266
Publikováno v:
SIAM Journal on Discrete Mathematics. 37:487-515
We study $\gamma$-vectors associated with $h^*$-vectors of symmetric edge polytopes both from a deterministic and a probabilistic point of view. On the deterministic side, we prove nonnegativity of $\gamma_2$ for any graph and completely characterize
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aeeaf51efab51f932ae2f05112ad5b2e
https://doi.org/10.1137/22m1492799
https://doi.org/10.1137/22m1492799
Autor:
Auffinger, Antonio, Gorski, Christian
Publikováno v:
Probability Theory and Related Fields. 186:285-326
We study first passage percolation (FPP) with stationary edge weights on Cayley graphs of finitely generated virtually nilpotent groups. Previous works of Benjamini-Tessera and Cantrell-Furman show that scaling limits of such FPP are given by Carnot-
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1d23d41948cf4da78fec467ac16769d1
https://doi.org/10.1007/s00440-023-01196-7
https://doi.org/10.1007/s00440-023-01196-7
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
Autor:
Detaille, Antoine, Ponce, Augusto C.
Publikováno v:
Real Analysis Exchange, Vol. 48, no.1, p. 1-17 (2022)
We prove that every finite Borel measure $\mu$ in $\mathbb{R}^N$ that is bounded from above by the Hausdorff measure $\mathcal{H}^s$ can be split in countable many parts $\mu\lfloor_{E_k}$ that are bounded from above by the Hausdorff content $\mathca
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b99249b20ece1751256e79dcaa2d8ef3
https://doi.org/10.14321/realanalexch.48.1.1629953964
https://doi.org/10.14321/realanalexch.48.1.1629953964
Publikováno v:
Geometric and Functional Analysis, 33(2), 299-363. Birkhauser Verlag Basel
Abbondandolo, A & Benedetti, G 2023, ' On the local systolic optimality of Zoll contact forms ', Geometric and Functional Analysis, vol. 33, no. 2, pp. 299-363 . https://doi.org/10.1007/s00039-023-00624-z
Abbondandolo, A & Benedetti, G 2023, ' On the local systolic optimality of Zoll contact forms ', Geometric and Functional Analysis, vol. 33, no. 2, pp. 299-363 . https://doi.org/10.1007/s00039-023-00624-z
We prove a normal form for contact forms close to a Zoll one and deduce that Zoll contact forms on any closed manifold are local maximizers of the systolic ratio. Corollaries of this result are: (i) sharp local systolic inequalities for Riemannian an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2e61a1f4e602663bef522c6f2102ece7
https://doi.org/10.1007/s00039-023-00624-z
https://doi.org/10.1007/s00039-023-00624-z
Publikováno v:
Groups, Geometry, and Dynamics. 17:127-155
We investigate the planarity of the boundaries of right-angled Coxeter groups. We show that non-planarity of the defining graph does not necessarily imply non-planarity of every boundary of the associated right-angled Coxeter group, although it does
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::00fde85a564898784334493ebc656ad8
https://doi.org/10.4171/ggd/668
https://doi.org/10.4171/ggd/668
Autor:
Ou, Ye-Lin
Publikováno v:
Frontiers of Mathematics. 18:1-15
We give a complete classification of local and global conformal biharmonic maps between any two space forms by proving that a conformal map between two space forms is proper biharmonic if and only if the dimension is 4, the domain is flat, and it is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1c7ed289fb05a5dc6e02972aec55a076
https://doi.org/10.1007/s11464-021-0284-3
https://doi.org/10.1007/s11464-021-0284-3