Results 11 to 20 of about 353,858 (83)

Chordal Hausdorff Convergence and Quasihyperbolic Distance

open access: yesAnalysis and Geometry in Metric Spaces, 2020
We study Hausdorff convergence (and related topics) in the chordalization of a metric space to better understand pointed Gromov-Hausdorff convergence of quasihyperbolic distances (and other conformal distances).
Herron David A.   +2 more
doaj   +2 more sources

Gromov hyperbolic equivalence of the hyperbolic and quasihyperbolic metrics in Denjoy domains [PDF]

open access: yesBulletin of the London Mathematical Society, 2010
In this article we investigate the Gromov hyperbolicity of Denjoy domains equipped with the hyperbolic or the quasihyperbolic metric. We first prove the existence of suitable families of quasigeodesics. The main result shows that a Denjoy domain is Gromov hyperbolic with respect to the hyperbolic metric if and only it is Gromov hyperbolic with respect ...
Hästö, Peter   +3 more
core   +6 more sources

Quasiconformal and bi-Lipschitz homeomorphisms, uniform domains and the quasihyperbolic metric [PDF]

open access: yesTransactions of the American Mathematical Society, 1985
Let D D be a proper subdomain of
Gaven J. Martin
openaire   +2 more sources

Quasihyperbolic metric and Gromov hyperbolic spaces I

open access: yes
arXiv admin note: text overlap with arXiv:1706.05494 by other ...
Liu, Hongjun, Xia, Ling, Yan, Shasha
openaire   +3 more sources

On the Removability Property of φ‐Natural Domains in Real Banach Spaces

open access: yesJournal of Mathematics, Volume 2022, Issue 1, 2022., 2022
In this paper, we investigate the removability of φ‐natural domains in Banach spaces. Let E be a real Banach space with dimension at least 2, G a domain in E, and let be a countable subset of G which satisfies a quasi hyperbolic separation condition. Then, G is φ‐natural if and only if G is ψ‐natural, quantitatively.
Yuehui He, Ji Gao
wiley   +1 more source

Dold sequences, periodic points, and dynamics

open access: yesBulletin of the London Mathematical Society, Volume 53, Issue 5, Page 1263-1298, October 2021., 2021
Abstract In this survey we describe how the so‐called Dold congruence arises in topology, and how it relates to periodic point counting in dynamical systems.
Jakub Byszewski   +2 more
wiley   +1 more source

The Geometry Of Quasiconformal Mappings (lipschitz, Geodesic, Uniform, Quasihyperbolic).

open access: yes, 1985
This thesis is a study of three topics, each of which describes an aspect of geometry relating to the general theory of quasiconformal mappings. The quasihyperbolic metric is a complete generalized Riemannian metric defined in a proper subdomain D of ...
Martin, Gaven John
core   +6 more sources

Gromov hyperbolicity and quasihyperbolic geodesics

open access: yes, 2014
We characterize Gromov hyperbolicity of the quasihyperbolic metric space (Omega, k) by geometric properties of the Ahlfors regular length metric measure space (Omega, d, mu).
Todorčević, Vesna   +2 more
core   +3 more sources

Metric space inversions, quasihyperbolic distance, and uniform spaces [PDF]

open access: yesIndiana University Mathematics Journal, 2008
We dene a notion of inversion valid in the general metric space setting. We establish several basic facts concerning inversions; e.g., they are quasimöbius homeomorphisms and quasihyperbolically bilipschitz. In a certain sense, inversion is dual to sphericalization.
Buckley, Stephen M.   +2 more
openaire   +2 more sources

Time‐Inconsistent Preferences, Retirement, and Increasing Life Expectancy

open access: yesMathematical Problems in Engineering, Volume 2019, Issue 1, 2019., 2019
We study consumption behavior, retirement decisions, and endogenous growth within a dynamic equilibrium when individuals have present‐biased preferences. Compared to individual with exponential preferences, individual with hyperbolic preferences will choose to retire early for present‐biased preferences but to delay retirement for the initial time ...
Shou Chen, Guangbing Li, Sebastian Anita
wiley   +1 more source

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