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Per gli studenti @RM3 (in italian)
Published or accepted papers
[18] L. Corsi, G. Gentile, M. Procesi:
Maximal tori in infnite-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 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 equatio
n
,
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
[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)
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)