1 citations · 1 across the 5 of their papers we have counts for
5 papers
Infinite circle patterns in the Weil-Petersson class
Wai Yeung Lam
Analogous to Weil-Petersson quasicircles, we investigate infinite circle patterns in the Euclidean plane parameterized by discrete harmonic functions of finite Dirichlet energy. Th…
Discrete Laplacians -- spherical and hyperbolic
Ivan Izmestiev, Wai Yeung Lam
The discrete Laplacian on Euclidean triangulated surfaces is a well-established notion. We introduce discrete Laplacians on spherical and hyperbolic triangulated surfaces. On the o…
Space of circle patterns on tori and its symplectic form
Wai Yeung Lam
We consider circle patterns on closed tori equipped with complex projective structures. There is an embedding of the space of circle patterns to the Teichmüller space of a puncture…
Discrete harmonic maps between hyperbolic surfaces
Wai Yeung Lam
Given a topological cell decomposition of a closed surface equipped with edge weights, we consider the Dirichlet energy of any geodesic realization of the 1-skeleton graph to a hyp…
Pullback of symplectic forms to the space of circle patterns
Wai Yeung Lam
We consider circle patterns on surfaces with complex projective structures. We investigate two symplectic forms pulled back to the deformation space of circle patterns. The first o…