Home |
Vitae |
Research |
Teaching |
Students |
Per gli studenti @RM3 (in
italian) |
[19] G. M. Marin, F. Bonetto, L. Corsi: Analyticity of the Lyapunov exponent of perturbed toral automorphisms, J. Math. Phys. 66 (2025), 042709
[18] L. Corsi, G. Gentile, M. Procesi: Maximal tori in infinite-dimensional Hamiltonian systems: a Renormalization Group approach, RCD 29 (2024), no.4, 677--715
[17] L. Corsi, G. Genovese: Long time behaviour of a local perturbation in the isotropic XY chain under periodic forcing, Ann. Henri Poincaré 23 (2022), 1555--1581
[16] D. Borthwick, L. Corsi, K. Jones: Sharp Diameter Bound on the Spectral Gap for Quantum Graphs, Proc. Amer. Math. Soc. 149 (2021), 2879--2890
[15] L. Corsi, R. Montalto, M. Procesi: Almost-periodic Response Solutions for a forced quasi-linear Airy equation, J. Dyn. Differ. Equ. 33 (2021), 1231--1267
[14] A. Casal, L. Corsi, R. de la Llave: Expansions in the delay of quasi-periodic solutions for state dependent delay equations, J. Phys. A 53 (2020), no. 23
[13] L. Corsi, R. Feola, M. Procesi: Finite dimensional invariant KAM tori for tame vector fields, Trans. Amer. Math. Soc. 372 (2019), no. 3, 1913--1983
[12] L. Corsi, R. Montalto: Quasi-periodic solutions for the forced Kirkhhoff equation on Td, Nonlinearity 31 (2018), 5075--5109
[11] R. Calleja, A. Celletti, L. Corsi, R. de la Llave: Response solutions for quasi-periodically forced, dissipative wave equations, SIAM J. Math. Anal. 49 (2017), no. 4, 3161--3207
[10] L. Corsi, G. Genovese: Periodic Driving of an Impurity in the Isotropic XY Chain, Comm. Math. Phys. 354 (2017), no. 3, 1173--1203
[9] L. Corsi, G. Gentile: Resonant tori of arbitrary codimension for quasi-periodically forced systems, NoDEA 24 (2017), no. 1
[8] L. Corsi, G. Gentile: Resonant motions in the presence of degeneracies for quasi-periodically perturbed systems, Erg. Th. Dynam. Sys. 35 (2015), no. 4, 1079--1140
[7] M. Berti, L. Corsi, M. Procesi: An abstract Nash-Moser theorem and quasi-periodic solutions for NLW and NLS on compact Lie groups and homogeneous spaces, Comm. Math. Phys. 334 (2015), no. 3, 1413--1454
[6] L. Corsi, R. Feola, G. Gentile: Convergent series for quasi-periodically forced strongly dissipative systems, Commun. Contemp. Math. 16 (2014), no. 3
[5] L. Corsi, R. Feola, G. Gentile: Domains of analyticity for response solutions in strongly dissipative forced systems, J. Math. Phys. 54 (2013), no. 12
[4] L. Corsi, R. Feola, G. Gentile: Lower-dimensional invariant tori for perturbations of a class of non-convex Hamiltonian functions, J. Stat. Phys. 150 (2013), no. 1, 156--180
[3] L. Corsi, G. Gentile: Oscillator synchronisation under arbitrary
quasi-periodic forcing, Comm. Math. Phys. 316
(2012), no. 2, 489--529
(Previously: Response solutions for arbitrary
quasi-periodic perturbations with Bryuno frequency vector,
arXiv:1011.0933v1)
[2] L. Corsi, G. Gentile, M. Procesi: KAM theory in configuration space and cancellations in the Lindstedt series, Comm. Math. Phys. 302 (2011), no. 2, 359--402
[1] L. Corsi, G. Gentile: Melnikov theory to all orders and Puiseux series for subharmonic solutions, J. Math. Phys. 49 (2008), no. 11
[1] L. Corsi, E. Haus, M. Procesi: A KAM result on compact Lie groups, Acta Appl. Math. (SPT 2014 Special Issue)
[1] L. Corsi, V. Kaloshin: A locally integrable non-Liouville analytic geodesic flow (2018)
[2] L. Corsi, G. Gentile, M. Procesi: Almost-periodic solutions to the NLS equation with smooth convolution potentials (2023)
[3] F. Argentieri, L. Corsi: On the linearization of analytic diffeomorphisms of the torus (2024)
[4] M. Berti, L. Corsi, A. Maspero, P. Ventura: Infinitely many isolas of modulational instability for Stokes waves (2024)
[5] M. Berti, L. Corsi, A. Maspero, P. Ventura: Addendum to "Infinitely many isolas of modulational instability of Stokes waves" (2024)
[6] L. Biasco, L. Corsi, G. Gentile, M. Procesi: Asymptotically full measure sets of almost-periodic solutions for the NLS equation (2024)
[7] M. Berti, L. Corsi, A. Maspero, P. Ventura: On higher order isolas of unstable Stokes waves (2025)
Master Thesis: Melnikov theory to all orders and Puiseux series for subharmonic solutions (2008)
PhD Thesis: Resonant solutions in the presence of degeneracies for quasi-periodically perturbed systems (2012)