3 citations · 4 across the 7 of their papers we have counts for
7 papers
Carathéodory balls and proper holomorphic maps on multiply-connected planar domains
Tuen Wai Ng, Chiu Chak Tang, Jonathan Tsai
In this paper, we will establish the inequivalence of closed balls and the closure of open balls under the Carathéodory metric in some planar domains of finite connectivity greater…
Fridman Function, Injectivity Radius Function and Squeezing Function
Tuen-Wai Ng, Chiu Chak Tang, Jonathan Tsai
Very recently, the Fridman function of a complex manifold has been identified as a dual of the squeezing function of . In this paper, we prove that the Fridman function for…
The squeezing function on doubly-connected domains via the Loewner differential equation
Tuen Wai Ng, Chiu Chak Tang, Jonathan Tsai
For any bounded domains in , Deng, Guan and Zhang introduced the squeezing function which is a biholomorphic invariant of bounded domains. We show that…
Higher Order, Polar and Sz.-Nagy's Generalized Derivatives of Random Polynomials with Independent and Identically Distributed Zeros on the Unit Circle
Pak-Leong Cheung, Tuen Wai Ng, Jonathan Tsai +1
For random polynomials with i.i.d. (independent and identically distribu-ted) zeros following any common probability distribution with support contained in the unit circle, the…
Conformal invariance of the exploration path in 2-d critical bond percolation in the square lattice
Jonathan Tsai, S. C. P. Yam, Wang Zhou
In this paper we present the proof of the convergence of the critical bond percolation exploration process on the square lattice to the trace of SLE. This is an important con…
Loewner chains on the universal covering space of a Riemann surface
Jonathan Tsai
Let R be a hyperbolic Riemann surface with boundary and suppose that is a simple curve growing from the boundary of R. By lifting $R_{t}=R…