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math.DG2020
Ray-Singer Torsion and the Rumin Laplacian on Lens Spaces
Akira Kitaoka
We express explicitly the analytic torsion functions associated with the Rumin complex on lens spaces in terms of the Hurwitz zeta function. In particular, we find that the functio…
nlin.AO2020★ 1 cited
Noise stability of synchronization and optimal network structures
Yuriko Katoh, Hiroshi Kori
We provide a theoretical framework for quantifying the expected level of synchronization in a network of noisy oscillators. Through linearization around the synchronized state, we…