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math.GT2026
Parabolic-preserving deformations of cusped hyperbolic lattices
Samuel A. Ballas, Julien Paupert, Pierre Will
We study deformations of non-cocompact lattices of into and . A necessary condition for these deformations to remain discrete and f…
math.FA2026
Geometric Perspective on Concentration Phenomena in Frame Theory
Samuel A. Ballas, Ferhat Karabatman, Tom Needham
Parseval and equal-norm frames play a fundamental role in frame theory and signal processing. It is known that a random frame, with unit vectors drawn independently from the unifor…