15 citations · 16 across the 4 of their papers we have counts for
4 papers
Random walks of circle packings
Tomasz Dubejko
A notion of random walks for circle packings is introduced. The geometry behind this notion is discussed, together with some applications. In particular, we obtain a short proof of…
Circle Packings in the Unit Disc
Tomasz Dubejko
A Bl-packing is a (branched) circle packing that ``properly covers'' the unit disc. We establish some fundamental properties of such packings. We give necessary and sufficient cond…
Recurrent random walks, Liouville's theorem, and circle packings
Tomasz Dubejko
It has been shown that univalent circle packings filling in the complex plane are unique up to similarities of . Here we prove that bounded degree branched circl…
Approximation of analytic functions with prescribed boundary conditions by circle packing maps
Tomasz Dubejko
We use recent advances in circle packing theory to develop a constructive method for the approximation of an analytic function by circle packing maps providing we…