Results 11 to 20 of about 74 (58)
Quasihyperbolic metric and Möbius transformations [PDF]
Proceedings of the American Mathematical Society, 2013 An improved version of quasiinvariance property of the quasihyperbolic metric under Möbius transformations of the unit ball in ${\mathbb R}^n, n \ge 2,$ is given. Next, a quasiinvariance property, sharp in a local sense, of the quasihyperbolic metric under quasiconformal mappings is proved.
Klén, Riku +2 more
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On the Removability Property of φ‐Natural Domains in Real Banach Spaces
Journal 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
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Dold sequences, periodic points, and dynamics
Bulletin 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
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Time‐Inconsistent Preferences, Retirement, and Increasing Life Expectancy
Mathematical 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
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Metric space inversions, quasihyperbolic distance, and uniform spaces [PDF]
Indiana 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
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Counting Closed Orbits for the Dyck Shift
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 The prime orbit theorem and Mertens’ theorem are proved for a shift dynamical system of infinite type called the Dyck shift. Different and more direct methods are used in the proof without any complicated theoretical discussion.
Fahad Alsharari +3 more
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Spatial Behavior of a Coupled System of Wave‐Plate Type
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 The spatial behavior of a coupled system of wave‐plate type is studied. We get the alternative results of Phragmén‐Lindelöf type in terms of an area measure of the amplitude in question based on a first‐order differential inequality. We also get the spatial decay estimates based on a second‐order differential inequality.
Gusheng Tang +3 more
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Distortion of Quasiregular Mappings and Equivalent Norms on Lipschitz‐Type Spaces
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 We prove a quasiconformal analogue of Koebe’s theorem related to the average Jacobian and use a normal family argument here to prove a quasiregular analogue of this result in certain domains in n‐dimensional space. As an application, we establish that Lipschitz‐type properties are inherited by a quasiregular function from its modulo. We also prove some
Miodrag Mateljević, Ljubomir B. Ćirić
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On Bilipschitz Extensions in Real Banach Spaces
Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013 Suppose that E and E′ denote real Banach spaces with dimension at least 2, that D ≠ E and D′ ≠ E′ are bounded domains with connected boundaries, that f : D → D′ is an M‐QH homeomorphism, and that D′ is uniform. The main aim of this paper is to prove that f extends to a homeomorphism f¯:D¯→D¯′ and f-∣∂D is bilipschitz if and only if f is bilipschitz in ...
M. Huang, Y. Li, Beong In Yun
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Universal convexity for quasihyperbolic type metrics [PDF]
Conformal Geometry and Dynamics of the American Mathematical Society, 2016 We characterize the open sets in the sphere that are geodesically convex in any containing domain with respect to various conformal metrics.
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