3 citations · 3 across the 5 of their papers we have counts for
7 papers
The minimal width of neural networks and immersions of real projective space
BaoZhi Chu, Ben Weinkove
We investigate the minimal width of deep neural networks that can approximate all continuous functions from to in the topology of uniform convergence…
Denjoy Domains and BMOA
Shengjin Huo, Michel Zinsmeister
A Denjoy domain is a plane domain whose complement is a closed subset of the extended real line containing : such a domain is called Carleson-homogeneous if…
Strongly quasisymmetirc homeomorphisms being compatible with Fuchsian groups
Shengjin Huo, Mengzhen Zhao
In this paper we first introduced a domain called generalized Dirichlet fundamental domain for a Fuchsian group whose generators contain parabolic elements. T…
On the dimension distortions of quasi-symmetric homeomorphisms
Shengjin Huo
In this paper, we first generalize a result of Bishop and Steger [Representation theoretic rigidity in PSL(2, R). Acta Math., 170, (1993), 121-149] by proving that for a Fuchsian g…
On Carleson Measures of Beltrami Coefficients Being Compatible with Infinitely Generated Fuchsian Groups Related to Denjoy Domian
Shengjin Huo
Let be a Carleson-Denjoy domain and be its covering group. Let be a Beltrami coefficient on the unit disk which is compatible with the group . In this paper we show…
On Carleson measures induced by Beltrami coefficients being compatible with Fuchsian groups
Huo Shengjin
Suppose be a Beltrami coefficient on the unit disk, which is compatible with a convex co-compact Fuchsian group of the second kind. In this paper we show that if $\displays…
On Ruelle's property
Huo Shengjin, Michel Zinsmeister
In this paper we investigate the range of validity of Ruelle's property. First, we show that every finitely-generated Fuchsian group has Ruelle's property. We also prove the existe…