Results 61 to 70 of about 535 (181)
Geometric Estimates in the Polynomial Interpolation
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
Kuramoto Model on Sierpinski Gasket I: Harmonic Maps
ABSTRACT Motivated by the study of attractors in the Kuramoto model (KM) on graphs, approximating the Sierpinski gasket (SG), we revisit the problem of harmonic maps (HMs) from SG to the circle, first considered by Strichartz. We provide a geometric proof of Strichartz's theorem, which states that for a prescribed degree and suitable boundary ...
Georgi S. Medvedev, Matthew S. Mizuhara
wiley +1 more source
Homothety ratio of airway diameters and site of airway resistance in healthy and COPD subjects.
International audience: Our objective was to evaluate whether a decrease in the homothety ratio (h: diameter of child/parent bronchus, constant over generations) explains the shift in airway resistance toward periphery in chronic obstructive pulmonary ...
Flaud, Patrice +4 more
core +1 more source
Negativity‐preserving transforms of tuples of symmetric matrices
Abstract Compared to the entrywise transforms which preserve positive semidefiniteness, those leaving invariant the inertia of symmetric matrices reveal a surprising rigidity. We first obtain the classification of negativity preservers by combining recent advances in matrix analysis with some novel arguments relying on well‐chosen test matrices, Sidon ...
Alexander Belton +3 more
wiley +1 more source
ABSTRACT The article examines a boundary‐value problem in a bounded domain Ωε$$ {\Omega}_{\varepsilon } $$ consisting of perforated and imperforate regions, with Neumann conditions prescribed at the boundaries of the perforations. Assuming the porous medium has symmetric, periodic structure with a small period ε$$ \varepsilon $$, we analyze the limit ...
Taras Melnyk
wiley +1 more source
КЛАССИФИКАЦИЯ ВЫПУКЛЫХ МНОГОГРАННИКОВ
The paper is continuation of the author's series of paper devoted to the solution of Hadviger's problem of covering convex polyhedrons with body images at homothety.
ПУОЛОКАЙНЕН Т.М.
doaj
First and second sharp constants in Riemannian Gagliardo–Nirenberg inequalities
Abstract Let (M,g)$(M,g)$ be a smooth compact Riemannian manifold of dimension n≥2$n\ge 2$, 1+1 more source
Scaling Behavior and Phases of Nonlinear Sigma Model on Real Stiefel Manifolds Near Two Dimensions
For a quasi-two-dimensional nonlinear sigma model on the real Stiefel manifolds with a generalized (anisotropic) metric, the equations of a two-charge renormalization group (RG) for the homothety and anisotropy of the metric as effective couplings are ...
Alexandre M. Gavrilik +1 more
doaj +1 more source
On a class of exact locally conformal cosymlectic manifolds
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
Plank theorems and their applications: A survey
Abstract Plank problems concern the covering of convex bodies by planks in Euclidean space and are related to famous open problems in convex geometry. In this survey, we introduce plank problems and present surprising applications of plank theorems in various areas of mathematics.
William Verreault
wiley +1 more source

