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Published
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accepted papers

[18] L. Corsi, G. Gentile, M. Procesi: Maximal tori in infnite-dimensional Hamiltonian systems: a Renormalization Group approach,*RCD*
(2024), in print

[17] L. Corsi, G. Genovese: Long time behaviour of a local perturbation in the isotropic XY chain under periodic forcing, Ann. Henri Poincare', 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, Transactions of the AMS, 372 (2019), no.3 1913-1983

[12] L. Corsi, R. Montalto: Quasi-periodic solutions for the forced Kirkhhoff equation on T^d, Nonlinerity 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, pp. 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. Cont. 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: Oscilator 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.

[18] L. Corsi, G. Gentile, M. Procesi: Maximal tori in infnite-dimensional Hamiltonian systems: a Renormalization Group approach,

[17] L. Corsi, G. Genovese: Long time behaviour of a local perturbation in the isotropic XY chain under periodic forcing, Ann. Henri Poincare', 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, Transactions of the AMS, 372 (2019), no.3 1913-1983

[12] L. Corsi, R. Montalto: Quasi-periodic solutions for the forced Kirkhhoff equation on T^d, Nonlinerity 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, pp. 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. Cont. 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: Oscilator 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.

Proceedings

Preprint

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)

[1] L.
Corsi, E. Haus, M. Procesi: A KAM result on
compact Lie groups, Acta Appl. Math. special
issue, SPT - Symmetry and perturbation theory
2014.

Preprint

[1]
L. Corsi, V. Kaloshin: A
locally integrable non-Liouville analytic
geodesic flow, Preprint (2018)

[2] G. M. Marin, F. Bonetto, L. Corsi: Analiticity of the Lyapunov exponent of perturbed toral automorphisms, Preprint (2023)

[3] L. Corsi, G. Gentile, M. Procesi: Almost-periodic solutions to the NLS equation with smooth convolution potentials, Preprint (2023)

[4] F. Argentieri, L. Corsi: On the linearization of analytic diffeomorphpisms of the torus, Preprint (2024)

[5] M. Berti, L. Corsi, A. Maspero, P. Ventura: Infinitely many isolas of modulational instability for Stokes waves, Preprint (2024)

[6] M. Berti, L. Corsi, A. Maspero, P. Ventura: Addendum to ``Infinitely many isolas of modulational instability of Stokes waves'', WebPage (2024)

[2] G. M. Marin, F. Bonetto, L. Corsi: Analiticity of the Lyapunov exponent of perturbed toral automorphisms, Preprint (2023)

[3] L. Corsi, G. Gentile, M. Procesi: Almost-periodic solutions to the NLS equation with smooth convolution potentials, Preprint (2023)

[4] F. Argentieri, L. Corsi: On the linearization of analytic diffeomorphpisms of the torus, Preprint (2024)

[5] M. Berti, L. Corsi, A. Maspero, P. Ventura: Infinitely many isolas of modulational instability for Stokes waves, Preprint (2024)

[6] M. Berti, L. Corsi, A. Maspero, P. Ventura: Addendum to ``Infinitely many isolas of modulational instability of Stokes waves'', WebPage (2024)

Theses

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)