John R. Kender, Rick Kjeldsen
IEEE Transactions on Pattern Analysis and Machine Intelligence
On a given Riemann surface, fix a discrete (finite or infinite) sequence of points {Pk}, k = 1, 2, 3,…, and associate to each Pk an “integer” vk (which may be 1, 2, 3,…, or ∞). This sequence of points and “integers” is called a “signature” on the Riemann surface. With only a few exceptions, a Riemann surface with signature can always be represented by a Fuchsian group. We investigate here the dependence of the group on the number vk. More precisely, keeping the points Pk fixed, we vary the numbers vk in such a way that the signature tends to a limit signature. We shall prove that the corresponding representing Fuchsian group converges to the Fuchsian group which corresponds to the limit signature. © 1972 American Mathematical Society.
John R. Kender, Rick Kjeldsen
IEEE Transactions on Pattern Analysis and Machine Intelligence
Charles Micchelli
Journal of Approximation Theory
Minghong Fang, Zifan Zhang, et al.
CCS 2024
Paul J. Steinhardt, P. Chaudhari
Journal of Computational Physics