Zobrazeno 1 - 10
of 91
pro vyhledávání: '"David A. Herron"'
Autor:
David A. Herron
Publikováno v:
Annales Fennici Mathematici
We exhibit geometric conditions that ensure a metric space is uniform.
Autor:
David A. Herron
Publikováno v:
Revista Matemática Iberoamericana. 37:1277-1306
We prove that the natural metric universal cover of a quasihyperbolic plane domain is a Hadamard metric space with injectivity radius π. This in turn provides sharp constants for several conjectures by Vaisala.
Autor:
David A. Herron, Gaven J. Martin
We present an analytical proof that certain natural metric planar universal covers are Hadamard metric spaces. In particular if $\rho=\varphi\circ u$ where $u$ is locally Lipschitz and subharmonic in $\Omega$, $\varphi$ is positive and increasing on
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1dd443f868a9ea98719c91f61377e1d8
http://arxiv.org/abs/2011.14456
http://arxiv.org/abs/2011.14456
Autor:
Jeff Lindquist, David A. Herron
We examine Euclidean plane domains with their hyperbolic or quasihyperbolic distance. We prove that the associated metric spaces are quasisymmetrically equivalent if and only if they are bi-Lipschitz equivalent. On the other hand, for Gromov hyperbol
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::81ed57c1daca535ca1c1f987544096eb
Autor:
David A. Herron
Publikováno v:
The Journal of Analysis. 24:1-38
We establish an embedding theorem for the Gromov–Hausdorff limit of a sequence of proper pointed metric spaces.
Autor:
David A. Herron
Publikováno v:
Conformal Geometry and Dynamics of the American Mathematical Society. 20:1-24
We characterize the open sets in the sphere that are geodesically convex in any containing domain with respect to various conformal metrics.
Autor:
David S. Herron, Stephanie A. Miller, Devchand Paul, Daniel T. Chin, Kathryn Howell, Tyler James Kemmis, Joyce A. Moore, Paige L. Dorn, Barbara Schwartzberg
Publikováno v:
American journal of surgery. 216(4)
Background American Society for Radiation Oncology (ASTRO) suitability criteria for accelerated partial breast irradiation (APBI) and the 21-gene recurrence score (RS) were evaluated for prognostic and predictive benefit in IORT patients. Methods Out
Autor:
David A. Herron, Poranee K. Julian
Publikováno v:
Rocky Mountain J. Math. 47, no. 1 (2017), 161-184
We characterize the closed sets in Euclidean space that satisfy a two-sided rolling ball property. As an application we show that certain conformal metric ratios have boundary value~1.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6144db3f14fb3d1394f35e86517c57c9
http://projecteuclid.org/euclid.rmjm/1488531895
http://projecteuclid.org/euclid.rmjm/1488531895
Autor:
Albert Clop, David A. Herron
Publikováno v:
Israel Journal of Mathematics. 200:225-250
We study mappings of finite distortion whose distortion functions belong to the Lebesgue space Llocp. We establish a local modulus of continuity estimate for the inverse of such a mapping. As an application, we describe the possible compression of Ha
Autor:
David A. Herron, Stephen M. Buckley
This is a tale describing the large scale geometry of Euclidean plane domains with their hyperbolic or quasihyperbolic distances. We prove that in any hyperbolic plane domain, hyperbolic and quasihyperbolic quasi-geodesics are the same curves. We als
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c000a778a03363a1e984dae934a5a8f4