68 citations · 199 across the 21 of their papers we have counts for
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math-ph2019★ 10 cited
Expansions in the delay of quasi-periodic solutions for state dependent delay equations
Alfonso Casal, Livia Corsi, Rafael de la Llave
We consider several models of State Dependent Delay Differential Equations (SDDEs), in which the delay is affected by a small parameter. This is a very singular perturbation since…
math-ph2019
Long time behaviour of a local perturbation in the isotropic XY chain under periodic forcing
Livia Corsi, Giuseppe Genovese
We study the isotropic XY quantum spin chain with a time-periodic transverse magnetic field acting on a single site. The asymptotic problem can be mapped into a highly resonant Flo…
math.SP2019
Sharp diameter bound on the spectral gap for quantum graphs
David Borthwick, Livia Corsi, Kenny Jones
We establish an upper bound on the spectral gap for compact quantum graphs which depends only on the diameter and total number of vertices. This bound is asymptotically sharp for p…