Zobrazeno 1 - 10
of 3 288
pro vyhledávání: '"A. Hynd"'
Morrey's classical inequality implies the H\"older continuity of a function whose gradient is sufficiently integrable. Another consequence is the Hardy-type inequality $$ \lambda\biggl\|\frac{u}{d_\Omega^{1-n/p}}\biggr\|_{\infty}^p\le \int_\Omega |Du
Externí odkaz:
http://arxiv.org/abs/2401.05781
Autor:
Hynd, Ryan, Tudorascu, Adrian
We study the long-time asymptotic behavior of the Sticky Particles dynamics on the real line. The time average of the Sticky Particles Lagrangian map has a limit which arises as a general property of projections onto closed convex cones in Hilbert sp
Externí odkaz:
http://arxiv.org/abs/2311.03582
Autor:
Hynd, Ryan
A ball polyhedron is the intersection of a finite number of closed balls in $\mathbb{R}^3$ with the same radius. In this note, we study ball polyhedra in which the set of centers defining the balls have the maximum possible number of diametric pairs.
Externí odkaz:
http://arxiv.org/abs/2310.08709
We study a non-linear eigenvalue problem for vector-valued eigenfunctions and give a succinct uniqueness proof for minimizers of the associated Rayleigh quotient.
Externí odkaz:
http://arxiv.org/abs/2306.06447
We study the decay (at infinity) of extremals of Morrey's inequality in $\mathbb{R}^n$. These are functions satisfying $$ \displaystyle \sup_{x\neq y}\frac{|u(x)-u(y)|}{|x-y|^{1-\frac{n}{p}}}= C(p,n)\|\nabla u\|_{L^p(\mathbb{R}^n)} , $$ where $p>n$ a
Externí odkaz:
http://arxiv.org/abs/2306.03471
Autor:
Hynd, Ryan
We consider Meissner polyhedra in $\mathbb{R}^3$. These are constant width bodies whose boundaries consist of pieces of spheres and spindle tori. We define these shapes by taking appropriate intersections of congruent balls and show that they are den
Externí odkaz:
http://arxiv.org/abs/2304.04035
Autor:
Hynd, Ryan
We revisit a classic proof of the Blaschke-Lebesgue theorem. It is based on the support function of a convex curve and the approximation of constant width curves by Reuleaux polygons.
Externí odkaz:
http://arxiv.org/abs/2303.04359
Autor:
Hynd KAID SLIMANE
Publikováno v:
Akofena, Vol 02, Iss 12 (2024)
Abstract: In the dynamic digital landscape, the realm of youth communication has evolved into a captivating playground where the intricate dynamics of code-switching and language innovation manifest, characterized by the use of diverse languages or l
Externí odkaz:
https://doaj.org/article/b7421629a7eb4219b87893da4afa7ce8
Autor:
Hynd, Ryan
We consider the basic problem of approximating Nash equilibria in noncooperative games. For monotone games, we design continuous time flows which converge in an averaged sense to Nash equilibria. We also study mean field equilibria, which arise in th
Externí odkaz:
http://arxiv.org/abs/2203.01518
Autor:
Hynd, Megan, Gibson, Kathryn, Walsh, Melissa, Phillips, Rachel, Prim, Julianna, Eisenlohr-Moul, Tory, Walsh, Erin, Dichter, Gabriel, Schiller, Crystal
Publikováno v:
In Journal of Affective Disorders 15 February 2025 371:253-260