Results 71 to 80 of about 15,526 (146)
Surface measure on, and the local geometry of, sub-Riemannian manifolds. [PDF]
Don S, Magnani V.
europepmc +1 more source
Abstract In 2019 Kleinbock and Wadleigh proved a “zero‐one law” for uniform inhomogeneous Diophantine approximations. We generalize this statement to arbitrary weight functions and establish a new and simple proof of this statement, based on the transference principle. We also give a complete description of the sets of g$g$‐Dirichlet pairs with a fixed
Vasiliy Neckrasov
wiley +1 more source
Failure of stability of a maximal operator bound for perturbed Nevo–Thangavelu means
Abstract Let G$G$ be a two‐step nilpotent Lie group, identified via the exponential map with the Lie‐algebra g=g1⊕g2$\mathfrak {g}=\mathfrak {g}_1\oplus \mathfrak {g}_2$, where [g,g]⊂g2$[\mathfrak {g},\mathfrak {g}]\subset \mathfrak {g}_2$. We consider maximal functions associated to spheres in a d$d$‐dimensional linear subspace H$H$, dilated by the ...
Jaehyeon Ryu, Andreas Seeger
wiley +1 more source
Circle packings, renormalizations, and subdivision rules
Abstract In this paper, we use iterations of skinning maps on Teichmüller spaces to study circle packings and develop a renormalization theory for circle packings whose nerves satisfy certain subdivision rules. We characterize when the skinning map has bounded image.
Yusheng Luo, Yongquan Zhang
wiley +1 more source
Fractional Dirichlet problems with an overdetermined non‐local Neumann condition
Abstract We investigate symmetry and quantitative approximate symmetry for an overdetermined problem related to the fractional torsion equation in a regular open, bounded set Ω⊆Rn$\Omega \subseteq \mathbb {R}^n$. Specifically, we show that if Ω¯$\overline{\Omega }$ has positive reach and the non‐local normal derivative introduced in Dipierro, Ros‐Oton ...
Michele Gatti +2 more
wiley +1 more source
Exact local distribution of the absolutely continuous spectral measure
Abstract It is well‐established that the spectral measure for one‐frequency Schrödinger operators with Diophantine frequencies exhibits optimal 1/2$1/2$‐Hölder continuity within the absolutely continuous spectrum (Avila and Jitomirskaya, Commun. Math. Phys. 301 (2011), 563–581).
Xianzhe Li, Jiangong You, Qi Zhou
wiley +1 more source
Enabling supra-aortic vessels inclusion in statistical shape models of the aorta: a novel non-rigid registration method. [PDF]
Scarpolini MA, Mazzoli M, Celi S.
europepmc +1 more source
Graph potentials and topological quantum field theories
Abstract We introduce a new functional equation in birational geometry, whose solutions can be used to construct two‐dimensional topological quantum field theories (2d TQFTs), infinite‐dimensional in many interesting examples. The solutions of the equation give rise to a hierarchy of graph potentials, which, in the simplest setup, are Laurent ...
Pieter Belmans +2 more
wiley +1 more source
Abstract Magnetic resonance imaging (MRI) is a powerful non‐invasive method for assessing placental morphology and physiology in vivo, offering higher resolution and functional insight than ultrasound. However, placental MRI analysis is limited by manual segmentation and time‐consuming classification workflows that are prone to inter‐operator ...
Dimitra Flouri +8 more
wiley +1 more source
On manifolds with almost non-negative Ricci curvature and integrally-positive k th -scalar curvature. [PDF]
Cucinotta A, Mondino A.
europepmc +1 more source

