Proves the convergence of discrete conformal maps from inversive distance circle packings in Jordan domains, indicating a significant advancement in geometric analysis.
In [5], Bowers and Stephenson introduced the notion of inversive distance circle packings as a natural generalization of Thurston's circle packings [29]. They further conjectured that discrete conformal maps induced by inversive distance circle packings converge to the Riemann mapping. In this paper, we prove Bowers-Stephenson's conjecture for Jordan domains by establishing a solvability theorem of certain prescribing combinatorial curvature problems for inversive distance circle packings.
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Chen et al. (2026) studied this question.
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