Baspinar, Emre; Citti, Giovanna; Sarti, Alessandro A geometric model of multi-scale orientation preference maps via Gabor functions.
J. Math. Imaging Vision 60 (2018), no. 6, 900–912.
Duits, Remco; Citti, Giovanna; Fuster, Andrea; Schultz, Thomas Differential geometry and orientation analysis in image processing. J. Math. Imaging Vision 60 (2018), no. 6,
763–765.
Franceschiello, B.; Sarti, A.; Citti, G. A neuromathematical model for geometrical optical illusions. J. Math. Imaging Vision 60 (2018), no. 1, 94–108.
Abbasi-Sureshjani, Samaneh; Favali, Marta; Citti, Giovanna; Sarti, Alessandro; ter Haar Romeny, Bart M. Curvature integration in a 5D kernel
for extracting vessel connections in retinal images. IEEE Trans. Image Process. 27 (2018), no. 2, 606–621.
Favali, Marta; Citti, Giovanna; Sarti, Alessandro Local and global Gestalt laws: a neurally based spectral approach. Neural Comput. 29 (2017), no. 2, 394–422.
Franceschiello, Benedetta; Sarti, Alessandro; Citti, Giovanna Mathematical models of visual perception for the analysis of geometrical optical illusions. Mathematical and theoretical neuroscience, 135–149, Springer INdAM Ser., 24, Springer, Cham, 2017.
Favali, Marta; Citti, Giovanna; Sarti, Alessandro Mathematical models of visual perception based on cortical architectures. Mathematical and theoretical neuroscience, 123–133, Springer INdAM Ser., 24, Springer, Cham, 2017.
Franceschiello, B.; Mashtakov, A.; Citti, G.; Sarti, A. Modelling of the Poggendorff illusion via sub-Riemannian geodesics in the roto-translation group. New trends in image analysis and processing—ICIAP 2017, 37–47, Lecture Notes in Comput. Sci., 10590, Springer, Cham, 2017.
Capogna, Luca; Citti, Giovanna Regularity for subelliptic PDE through uniform estimates in multi-scale geometries. Bull. Math. Sci. 6 (2016), no. 2, 173–230.
Citti, Giovanna; Manfredini, Maria; Pinamonti, Andrea; Serra Cassano, Francesco Poincaré-type inequality for Lipschitz continuous vector fields. J. Math. Pures Appl. (9) 105 (2016), no. 3, 265–292.
Citti, G.; Franceschiello, B.; Sanguinetti, G.; Sarti, A. Sub-Riemannian mean curvature flow for image processing. SIAM J. Imaging Sci. 9 (2016), no. 1, 212–237.
Bonfiglioli, Andrea; Citti, Giovanna; Cupini, Giovanni; Manfredini, Maria; Montanari, Annamaria; Morbidelli, Daniele; Pascucci, Andrea; Polidoro, Sergio; Uguzzoni, Francesco The role of fundamental solution in potential and regularity theory for subelliptic PDE. Geometric methods in PDE's, 341–373, Springer INdAM Ser., 13, Springer, Cham, 2015.
Capogna, Luca; Citti, Giovanna; Manfredini, Maria Regularity of mean curvature flow of graphs on Lie groups free up to step 2. Nonlinear Anal. 126 (2015), 437–450.
Citti, Giovanna; Grafakos, Loukas; Pérez, Carlos; Sarti, Alessandro; Zhong, Xiao Harmonic and geometric analysis. Edited by Joan Mateu. Advanced Courses in Mathematics. CRM Barcelona. Birkhäuser/Springer Basel AG, Basel, 2015. ix+170 pp.
Citti, Giovanna; Sarti, Alessandro Models of the visual cortex in Lie groups. Harmonic and geometric analysis, 1–55, Adv. Courses Math. CRM Barcelona, Birkhäuser/Springer Basel AG, Basel, 2015.
Citti, Giovanna; Sarti, Alessandro A gauge field model of modal completion. J. Math. Imaging Vision 52 (2015), no. 2, 267–284.
Barbieri, D.; Citti, G. Reproducing kernel Hilbert spaces of CR functions for the Euclidean motion group. Anal. Appl. (Singap.) 13 (2015), no. 3, 331–346.
Sarti, Alessandro; Citti, Giovanna The constitution of visual perceptual units in the functional architecture of V1. J. Comput. Neurosci. 38 (2015), no. 2, 285–300.
Arcozzi N., Citti G., Sarti A. Association fields of simple cells as parallel transport in a hyperbolic symplectic structure (preprint).
G. Citti, G. Tomassini, Levi equation for almost complex structures
Revista Matematica Iberoamericana, vol. 20, no. 1, 151-182.
G.Citti., E. Lanconelli e A. Montanari, Smoothness of Lipschitz continuous graphs,
with non vanishing Levi curvature.
(in collaborazione
con )
Acta Math. 188 (2002), no. 1, 87--128.
G.Citti, A. Montanari, Regularity
properties of solutions of a class of elliptic-parabolic nonlinear
Levi type equations
Trans. Amer. Math. Soc. 354 (2002), no. 7, 2819--2848
G.Citti., A. Montanari, Analytic estimates of solutions of the Levi
equation J. Differential Equations 173 (2001), no. 2, 356--389.
G.Citti,
Regularity of a solution of a nonlinear Hoermander type equation.
Nonlinear Anal. 47 (2001), no. 1, 479--489.
G.Citti., A. Montanari, Strong solutions for the Levi
curvature equation,
Adv. Differential Equations, vol. 5,1-3 (2000), 323-342.
G.Citti., A. Montanari,
regularity of solutions of an equation of Levi's type in R2n+1
,
Ann. Mat. Pura Appl. (4) 180 (2001), no. 1, 27--58.
On the smoothness of viscosity solutions of
the prescribed Levi-curvature equation,
(in collaborazione con
E. Lanconel
e
A. Montanari
)Atti Accad. Naz. Lincei Cl. Sci. Fis.
Mat. Natur. Rend. Lincei (9) Mat. Appl. 10, 1999, 61-68.
Regularity properties of Levi flat graphs,
(in collaborazione con
A. Montanari
) C. R. Acad. Sci.
Paris Sér. Math., 329, serie 1, 1999, 1049-1054.
regularity of solutions of the Levi equation,
Ann. Inst. H. Poincare, Anal. non Linéaire, 15,
4, 1998, 517-534.
regularity of solutions of a quasilinear equation related to the Levi
operator, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 23, 1996,
483-529.
A comparison theorem for the Levi equation,
Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei
(9) Mat. Appl., 5, 3, 1993, 207-212.
On the regularity of solutions to a
nonlinear ultraparabolic equation arising in mathematical finance
(in collaborazione con A. Pascucci e S. Polidoro
) Diff. Int. Eq, 14 (2001), 701-738
Regularity properties of viscosity solutions of a non-H\"ormander
degenerate equation
(in collaborazione con A. Pascucci, S. Polidoro)
J. Math. Pures Appl. (9) 80 (2001), no. 9, 901--918.
Hölder regularity of the solutions
for operators which are sum of squares of vector fields plus a potential,
(in collaborazione con
G. Di Fazio ),
Proc. Amer. Math. Soc., 122, 1994, 741-750.
Harnack's inequality for sum of squares of
vector fields plus a potential, (con N. Garofalo, E. Lanconelli),
Amer. J. Math., 115, 1993, 699-734.
Wiener Estimates at Boundary points for
Hörmander operators, Boll Un. Mat. Ital. B(7), 1988, 667-681.
Semilinear Dirichlet Problem Involving Critical Exponent for
the Kohn Laplacian, Ann. Mat. Pura Appl. (4),
169, 1995, 375-392.
Critical semilinear equations on the
Heisenberg group: the effect of the topology of the domain.
(in collaborazione con
F. Uguzzoni
) Nonlinear Anal., Theory Methods Appl. 46A, No.3, 399-417 (2001).
.
Positive solutions of in
NoDEA, Nonlinear Differ. Equ. Appl. 9, No.1, 1-14 (2002) (con
F. Uguzzoni).