4 citations · 12 across the 24 of their papers we have counts for
24 papers
Uniform Diophantine approximation and run-length function in continued fractions
Bo Tan, Qing-Long Zhou
We study the multifractal properties of the uniform approximation exponent and asymptotic approximation exponent in continued fractions. As a corollary, %given a nonnegative reals…
Boundary rigidity of Gromov hyperbolic spaces
Hao Liang, Qingshan Zhou
We introduce the concept of boundary rigidity for Gromov hyperbolic spaces. We show that a proper geodesic Gromov hyperbolic space with a pole is boundary rigid if and only if its…
Gromov hyperbolicity in the free quasiworld. I
Qingshan Zhou, Saminathan Ponnusamy
With the aid of a Gromov hyperbolic characterization of uniform domains, we first give an affirmative answer to an open question arisen by Väisälä under weaker assumption. Next, we…
A note on -bilipschitz mappings in quasiconvex metric spaces
Tiantian Guan, Saminathan Ponnusamy, Qingshan Zhou
This paper focuses on properties of \partial-biLipschitz mappings which were recently introduced by Bulter. We establish several characterizations for the class of \partial-biLipsc…
Some remarks on the Gehring-Hayman theorem
Sari Rogovin, Hyogo Shibahara, Qingshan Zhou
In this paper we provide new characterizations of the Gehring-Hayman theorem from the point of view of Gromov boundary and uniformity. We also determine the critical exponents for…
Gromov hyperbolic John is quasihyperbolic John II
Qingshan Zhou, Saminathan Ponnusamy
In this paper, we introduce a concept of quasihyperbolic John spaces (with center) and provide a criteria to determine spaces to be quasihyperbolic John. As an application, we prov…
Gromov hyperbolic John is quasihyperbolic John I
Qingshan Zhou, Saminathan Ponnusamy
In this paper, we introduce a concept of quasihyperbolic John spaces and provide a necessary and sufficient condition for a space to be quasihyperbolic John. Using this criteria, w…
Pommerenke's theorem on Gromov hyperbolic domains
Qingshan Zhou, Antti Rasila, Tiantian Guan
We establish a version of a classical theorem of Pommerenke, which is a diameter version of the Gehring-Hayman inequality on Gromov hyperbolic domains of . Two applic…
A note on Väisälä's problem concerning free quasiconformal mappings
Qingshan Zhou, Yaxiang Li, Antti Rasila
In this paper, we provide partial solutions to a problem raised by Väisälä on local properties of free quasiconformal mappings. In particular, we show that a locally free quasiconf…
Teichmüller's problem for Gromov hyperbolic domains
Qingshan Zhou, Antti Rasila
Let be the class of -quasiconformal automorphisms of a domain with identity boundary values. Teichmüller's problem is to determine…
Sphericalization with its applications in Gromov hyperbolic spaces
Qingshan Zhou, Yaxiang Li, Xining Li
In this paper, we study certain applications of sphericalization in Gromov hyperbolic metric spaces. We first show that the doubling property regarding two classes of metrics on th…
Busemann functions and uniformization of Gromov hyperbolic spaces
Qingshan Zhou, Saminathan Ponnusamy, Antti Rasila
Uniformization theory of Gromov hypebolic spaces investigated by Bonk, Heinonen and Koskela, generalizes the case where a classical Poincaré ball type model is used as the starting…
Quasimöbius invariance of uniform domains
Qingshan Zhou, Antti Rasila
In this paper, we study quasimöbius invariance of uniform domains in Banach spaces. We first investigate implications of certain geometric properties of domains in Banach spaces, s…
The Gehring-Hayman type theorems on complex domains
Jinsong Liu, Hongyu Wang, Qingshan Zhou
In this paper we establish Gehring-Hayman type theorems for some complex domains. Suppose that is a bounded -convex domain with Dini-smooth boundary, or…
Sphericalization and flattening with their applications in quasimetric measure spaces
Qingshan Zhou, Yaxiang Li, Xining Li
The main purpose of the note is to explore the invariant properties of sphericalization and flattening and their applications in quasi-metric spaces. We show that sphericalization…
Gromov hyperbolicity, John spaces and quasihyperbolic geodesics
Qingshan Zhou, Yaxiang Li, Antti Rasila
We show that every quasihyperbolic geodesic in a John space admitting a roughly starlike Gromov hyperbolic quasihyperbolization is a cone arc. This result provides a new approach t…
Deformations on symbolic Cantor sets and ultrametric spaces
Qingshan Zhou, Xining Li, Yaxiang Li
By introducing new deformations on symbolic Cantor sets and ultrametric spaces, we prove that doubling ultrametric spaces admit bilipschitz embedding into Cantor sets. If in additi…
Apollonian metric, uniformity and Gromov hyperbolicity
Yaxiang Li, Matti Vuorinen, Qingshan Zhou
The main purpose of this paper is to investigate the properties of a mapping which is required to be roughly bilipschitz with respect to the Apollonian metric (roughly Apollonian b…
Characterizations of John spaces
Yaxiang Li, Matti Vuorinen, Qingshan Zhou
The main purpose of this paper is to study the characterizations of John spaces. We obtain five equivalence characteristics for length John spaces. As an application, we establish…
Geometric characterizations of inner uniformity through Gromov hyperbolicity
Manzi Huang, Antti Rasila, Xiantao Wang +1
In this paper, we study the characterization of inner uniformity of bounded domains in $\IR^n$, and prove that the following three conditions are equivalent: is inner…
Weakly quasisymmetric maps and uniform spaces
Yaxiang Li, Matti Vuorinen, Qingshan Zhou
Suppose that and are quasiconvex and complete metric spaces, that and are domains, and that is a homeomorphism. In this paper, we fi…
Uniform perfectness for quasi-metric spaces
Qingshan Zhou, Yaxiang Li, Ailing Xiao
The aim of this paper is to investigate the equivalence conditions for uniform perfectness of quasi-metric spaces. We also obtain the invariant property of uniform perfectness unde…
On the subinvariance of uniform domains in metric spaces
Yaxiang Li, Manzi Huang, Xiantao Wang +1
Suppose that and are quasiconvex and complete metric spaces, that and are domains, and that is a homeomorphism. Our main result is t…
Semisolidity and locally weak quasisymmetry of homeomorphisms in metric spaces
Manzi Huang, Antti Rasila, Xiantao Wang +1
In this paper, we investigate the relationship between semisolidity and locally weak quasisymmetry of homeomorphisms in quasiconvex and complete metric spaces. Our main objectives…