Results 41 to 50 of about 5,300 (153)
Angels' staircases, Sturmian sequences, and trajectories on homothety surfaces [PDF]
, 2020 Joshua P. Bowman, Slade Sanderson
openalex +3 more sources
Classes of homothetic convex sets
Extracta MathematicaeThis is a survey of known results and still open problems on characteristic properties of classes of homothetic convex sets in the n-dimensional Euclidean space.
Valeriu Soltan
doaj +1 more source
The visual boundary of hyperbolic free-by-cyclic groups
, 2018 Let $\phi$ be an atoroidal outer automorphism of the free group $F_n$. We study the Gromov boundary of the hyperbolic group $G_{\phi} = F_n \rtimes_{\phi} \mathbb{Z}$. We explicitly describe a family of embeddings of the complete bipartite graph $K_{3,3}$
Algom-Kfir, Yael +2 more
core +2 more sources
ℓp$\ell ^p$ metrics on cell complexes
Journal of the London Mathematical Society, Volume 111, Issue 1, January 2025.Abstract Motivated by the observation that groups can be effectively studied using metric spaces modelled on ℓ1$\ell ^1$, ℓ2$\ell ^2$ and ℓ∞$\ell ^\infty$ geometry, we consider cell complexes equipped with an ℓp$\ell ^p$ metric for arbitrary p$p$. Under weak conditions that can be checked locally, we establish non‐positive curvature properties of these
Thomas Haettel, Nima Hoda, Harry Petyt
wiley +1 more source
Almost sharp lower bound for the nodal volume of harmonic functions
Communications on Pure and Applied Mathematics, Volume 77, Issue 12, Page 4328-4389, December 2024.Abstract This paper focuses on a relation between the growth of harmonic functions and the Hausdorff measure of their zero sets. Let u$u$ be a real‐valued harmonic function in Rn$\mathbb {R}^n$ with u(0)=0$u(0)=0$ and n≥3$n\ge 3$. We prove Hn−1({u=0}∩B(0,2))≳εN1−ε,$$\begin{equation*} \hspace*{49pt}\mathcal {H}^{n-1}(\lbrace u=0\rbrace \cap B(0,2 ...
Alexander Logunov +2 more
wiley +1 more source
Geometric Estimates in the Polynomial Interpolation
Моделирование и анализ информационных систем, 2011 We prove some new inequalities for the norms of projections due to the polynomial interpolation of continuous functions of n variables.
M. V. Nevskii
doaj
Zero‐curvature subconformal structures and dispersionless integrability in dimension five
Journal of the London Mathematical Society, Volume 110, Issue 6, December 2024.Abstract We extend the recent paradigm “Integrability via Geometry” from dimensions 3 and 4 to higher dimensions, relating dispersionless integrability of partial differential equations to curvature constraints of the background geometry. We observe that in higher dimensions on any solution manifold, the symbol defines a vector distribution equipped ...
Boris Kruglikov, Omid Makhmali
wiley +1 more source
On a class of exact locally conformal cosymlectic manifolds
International Journal of Mathematics and Mathematical Sciences, 1996 An almost cosymplectic manifold M is a (2m+1)-dimensional oriented Riemannian manifold endowed with a 2-form Ω of rank 2m, a 1-form η such that Ωm Λ η≠0 and a vector field ξ satisfying iξΩ=0 and η(ξ)=1. Particular cases were considered in [3] and [6].
I. Mihai, L. Verstraelen, R. Rosca
doaj +1 more source
Interferometric apodization by homothety – II. Experimental validation [PDF]
, 2023 Jamal Chafi +6 more
openalex +1 more source