Zobrazeno 1 - 10
of 242
pro vyhledávání: '"Commensurability (mathematics)"'
Autor:
Holger Kammeyer, Steffen Kionke
Publikováno v:
Pacific Journal of Mathematics. 313:137-158
By arithmeticity and superrigidity, a commensurability class of lattices in a higher rank Lie group is defined by a unique algebraic group over a unique number subfield of $\mathbb{R}$ or $\mathbb{C}$. We prove an adelic version of superrigidity whic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8c392f893286e8724624caef1bd1c57a
https://doi.org/10.2140/pjm.2021.313.137
https://doi.org/10.2140/pjm.2021.313.137
Publikováno v:
Annales Fennici Mathematici
It is known that every unbranched finite covering \(\alpha\colon\widetilde{S}_{g(\alpha)}\rightarrow S\) of a compact Riemann surface \(S\) with genus \(g\geq 2\) induces an isometric embedding \(\Gamma_{\alpha}\) from the Teichmuller space \(T(S)\)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a65d6973c97d89c41f8af92c80f487fb
https://afm.journal.fi/article/view/110831
https://afm.journal.fi/article/view/110831
Autor:
A. B. Muravnik
Publikováno v:
Mathematical Notes. 110:92-99
We study the Dirichlet problem in a half-space for elliptic differential-difference equations with operators that are compositions of differential operators and shift operators not bound by commensurability conditions for shifts. For this problem, we
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::19cacd90dbee2301e5652c3e33a50d30
https://doi.org/10.1134/s0001434621070099
https://doi.org/10.1134/s0001434621070099
Publikováno v:
Transactions of the American Mathematical Society. 373:8219-8257
We give an effective upper bound, for certain arithmetic hyperbolic 3-manifold groups obtained from a quadratic form construction, on the minimal index of a subgroup that embeds in a fixed 6-dimensional right-angled reflection group, stabilizing a to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9b59be672c314c68270e5bbdc1da3f3f
https://doi.org/10.1090/tran/8190
https://doi.org/10.1090/tran/8190
Autor:
Oscar Randal-Williams, Manuel Krannich
Publikováno v:
Comptes Rendus. Mathématique
It is well known that Sullivan showed that the mapping class group of a simply connected high-dimensional manifold is commensurable with an arithmetic group, but the meaning of "commensurable" in this statement seems to be less well known. We explain
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bf1091fff45b04f9fdea7e390fc130e0
https://doi.org/10.5802/crmath.61
https://doi.org/10.5802/crmath.61
Autor:
Ulisse Stefanelli, Manuel Friedrich
Publikováno v:
Journal of statistical physics 179 (2020): 485–501. doi:10.1007/s10955-020-02537-9
info:cnr-pdr/source/autori:M. Friedrich and U. Stefanelli/titolo:Crystallization in a one-dimensional periodic landscape/doi:10.1007%2Fs10955-020-02537-9/rivista:Journal of statistical physics/anno:2020/pagina_da:485/pagina_a:501/intervallo_pagine:485–501/volume:179
info:cnr-pdr/source/autori:M. Friedrich and U. Stefanelli/titolo:Crystallization in a one-dimensional periodic landscape/doi:10.1007%2Fs10955-020-02537-9/rivista:Journal of statistical physics/anno:2020/pagina_da:485/pagina_a:501/intervallo_pagine:485–501/volume:179
We consider the crystallization problem for a finite one-dimensional collection of identical hard spheres in a periodic energy landscape. This issue arises in connection with the investigation of crystalline states of ionic dimers, as well as in epit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2ba60f933ab98dfe592a9512bd6b21a3
https://doi.org/10.1007/s10955-020-02537-9
https://doi.org/10.1007/s10955-020-02537-9
Publikováno v:
Mathematical Proceedings of the Cambridge Philosophical Society. 170:559-608
In this paper we continue the study of right-angled Artin groups up to commensurability initiated in [CKZ]. We show that RAAGs defined by different paths of length greater than 3 are not commensurable. We also characterise which RAAGs defined by path
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::381c9e761e6fc8b1be39239f2707ea9d
https://doi.org/10.1017/s0305004119000537
https://doi.org/10.1017/s0305004119000537
Autor:
Ashot Minasyan
Publikováno v:
International Mathematics Research Notices. 2021:13434-13477
If $G$ is a group, a virtual retract of $G$ is a subgroup which is a retract of a finite index subgroup. Most of the paper focuses on two group properties: property (LR), that all finitely generated subgroups are virtual retracts, and property (VRC),
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f4ea37a8758454861d4bec2f45fa966c
https://doi.org/10.1093/imrn/rnz249
https://doi.org/10.1093/imrn/rnz249
Autor:
Sergio Albeverio, Illya M. Karabash
Publikováno v:
Journal of Differential Equations. 267:6171-6197
We prove that the asymptotic distribution of resonances has a multilevel internal structure for the following classes of Hamiltonians H: Schr\"odinger operators with point interactions in $\mathbb{R}^3$, quantum graphs, and 1-D photonic crystals. In
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::85c85f2655b1fd1c6f53b5e5814643d8
https://doi.org/10.1016/j.jde.2019.06.020
https://doi.org/10.1016/j.jde.2019.06.020
Autor:
Leone Slavich, Stefano Riolo
Publikováno v:
Algebr. Geom. Topol. 19, no. 5 (2019), 2653-2676
We prove that there are at least 2 commensurability classes of minimal-volume hyperbolic 4-manifolds. Moreover, by applying a well-known technique due to Gromov and Piatetski-Shapiro, we build the smallest known non-arithmetic hyperbolic 4-manifold.<
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1c31bec260a97c0cec39bf36daf83296
https://doi.org/10.2140/agt.2019.19.2653
https://doi.org/10.2140/agt.2019.19.2653