giovanna citti
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A cortical based model of perceptual completion in the roto-translation space
G Citti, A Sarti
Journal of Mathematical Imaging and Vision 24 (3), 307-326, 2006
Harnack's inequality for sum of squares of vector fields plus a potential
G Citti, N Garofalo, E Lanconelli
American Journal of Mathematics 115 (3), 699-734, 1993
The symplectic structure of the primary visual cortex
A Sarti, G Citti, J Petitot
Biological Cybernetics 98 (1), 33-48, 2008
Smoothness of Lipschitz-continuous graphs with nonvanishing Levi curvature
G Citti, E Lanconelli, A Montanari
Acta mathematica 188 (1), 87-128, 2002
Implicit function theorem in Carnot–Carathéodory spaces
G Citti, M Manfredini
Communications in Contemporary Mathematics 8 (05), 657-680, 2006
On the regularity of solutions to a nonlinear ultraparabolic equation arising in mathematical finance
G Citti, A Pascucci, S Polidoro
Differential and Integral Equations 14 (6), 701-738, 2001
Regularity of Non-characteristic Minimal Graphs in the Heisenberg Group ℍ 1
L Capogna, G Citti, M Manfredini
Indiana University mathematics journal, 2115-2160, 2009
Semilinear Dirichlet problem involving critical exponent for the Kohn Laplacian
G Citti
Annali di Matematica Pura ed applicata 169 (1), 375-392, 1995
regularity of solutions of a quasilinear equation related to the Levi operator
G Citti
Annali della Scuola Normale Superiore di Pisa-Classe di Scienze 23 (3), 483-529, 1996
Smoothness of Lipschitz minimal intrinsic graphs in Heisenberg groups
L Capogna, G Citti, M Manfredini
arXiv preprint arXiv:0804.3408, 2008
Neuronal Oscillations in the Visual Cortex: Γ-Convergence to the Riemannian Mumford--Shah Functional
G Citti, M Manfredini, A Sarti
SIAM journal on mathematical analysis 35 (6), 1394-1419, 2004
Regularity properties of viscosity solutions of a non-Hörmander degenerate equation
G Citti, A Pascucci, S Polidoro
Journal de mathématiques pures et appliquées 80 (9), 901-918, 2001
The constitution of visual perceptual units in the functional architecture of V1
A Sarti, G Citti
Journal of computational neuroscience 38 (2), 285-300, 2015
An uncertainty principle underlying the functional architecture of V1
D Barbieri, G Citti, G Sanguinetti, A Sarti
Journal of Physiology-Paris 106 (5-6), 183-193, 2012
Smooth approximation for intrinsic Lipschitz functions in the Heisenberg group
G Citti, M Manfredini, A Pinamonti, FS Cassano
Calculus of Variations and Partial Differential Equations 49 (3), 1279-1308, 2014
Neuromathematics of vision
G Citti, A Sarti
Springer, 2014
A cortical-inspired geometry for contour perception and motion integration
D Barbieri, G Citti, G Cocci, A Sarti
Journal of mathematical imaging and vision 49 (3), 511-529, 2014
A model of natural image edge co-occurrence in the rototranslation group
G Sanguinetti, G Citti, A Sarti
Journal of vision 10 (14), 37-37, 2010
Generalized mean curvature flow in Carnot groups
L Capogna, G Citti
Communications in Partial Differential Equations 34 (8), 937-956, 2009
From neural oscillations to variational problems in the visual cortex
A Sarti, G Citti, M Manfredini
Journal of Physiology-Paris 97 (2-3), 379-385, 2003
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