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math.MG2021
Transverse Rigidity is Prestress Stability
Steven J. Gortler, Miranda Holmes-Cerfon, Louis Theran
Recently, V. Alexandrov proposed an intriguing sufficient condition for rigidity, which we will call "transverse rigidity". We show that transverse rigidity is actually equivalent…
math.MG2019
Almost-rigidity of frameworks
Miranda Holmes-Cerfon, Louis Theran, Steven J. Gortler
We extend the mathematical theory of rigidity of frameworks (graphs embedded in -dimensional space) to consider nonlocal rigidity and flexibility properties. We provide conditio…