Articoli di ricerca // Research papers
COMPLETE LIST OF (MATHEMATICAL) PUBLICATIONS. Pdf file, 235 KB.
M. Abate, K. Rakhimov: Dynamics of Fuchsian meromorphic connections with real periods. Preprint, 2024. Pdf file, 752 KB
M. Abate, A. Christodoulou: Random iteration on hyperbolic Riemann surfaces. Annali Mat. Pura Appl. 201 (2022), 2021–2035. Pdf file, 1.6 MB
M. Abate: Multipoint Julia theorems. Rend. Licei Mat. Appl. 32 (2021), 593–625. Pdf file, 239 KB.
M. Abate, S. Mongodi, J. Raissy: Toeplitz operators and skew Carleson measures for weighted Bergman spaces on strongly pseudoconvex domains. J. Operator Th. 84 (2020), 339–364. Pdf file, 229 KB.
M. Abate, J. Raissy: Corrigendum to "Backward iterations in strongly convex domains". Adv. Math. 369, (2020), 107165. Pdf file, 402 KB.
M. Abate, J. Raissy: Skew Carleson measures in strongly pseudoconvex domains. To appear in J. Oper. Th., 2019. Pdf file, 261 KB.
M. Abate: The Kobayashi distance in holomorphic dynamics and operator theory. In "Metrics and dynamical aspects in complex analysis", L. Blanc-Centi ed., Springer, 2017. Pdf file, 374 KB.
M. Abate: Fatou flowers and parabolic curves. In "Complex Analysis and Geometry", F. Bracci et al. eds., Springer, Berlin, 2015, pp. 1-39. Pdf file, 380 KB
M. Abate, F. Bracci: Common boundary regular fixed points for holomorphic semigroups in strongly convex domains. In "Proceedings of the International Conference on Complex Analysis and Dynamical Systems VI", Contemp. Math. 667 (2016), pp. 1-14. Pdf file, 380 KB.
M. Abate, F. Bianchi: A Poincare-Bendixson theorem for meromorphic connections on compact Riemann surfaces. Math. Z. 282 (2016), 247-272. Pdf file, 226 KB.
M. Abate, J. Raissy: A Julia-Wolff-Caratheodory theorem for infinitesimal generators in the unit ball. Trans. AMS 368 (2016), 5415-5431. Pdf file, 399 KB.
M. Abate, J. Raissy: Wolff-Denjoy theorems in non-smooth convex domains. Ann. Mat. Pura Appl. 193 (2014), 1503-1518. Pdf file, 193 KB.
M. Abate, J. Raissy, A. Saracco: Toeplitz operators and Carleson measures in strongly pseudoconvex domains. J. Funct. Anal. 263 (2012), 3449-3491. Pdf file, 516 KB
M. Abate: Open problems in local discrete holomorphic dynamics. Anal. Math. Phys. 1 (2011), 261-287. Pdf file, 471 KB.
M. Abate: Index theorems for meromorphic self-maps of the projective space. In "Frontiers of complex dynamics", A. Bonifant, M. Lyubich, S. Sutherland eds., Princeton University Press, Princeton, 2014, pp. 451-460. Pdf file, 160 KB.
M. Abate, J. Raissy: Backward iteration in strongly convex domains. Adv. Math. 228 (2011), 2837-2854. Pdf file, 197 KB.
M. Abate, A. Abbondandolo, P. Majer: Stable manifolds for holomorphic automorphisms. J. Reine Angew. Math. 690 (2014), 217-247. Pdf file, 299 KB.
M. Abate, J. Raissy: Formal Poincare'-Dulac renormalization for holomorphic germs. Disc. Cont. Dyn. Syst. 33 (2013), 1773-1807. Pdf file, 369 KB.
M. Abate, F. Bracci, M.D. Contreras, S. Diaz-Madrigal: The evolutions of Loewner's differential equations. Newsletter Eur. Math. Soc., 78 (2010), 31-38. Pdf file, 564 KB.
M. Abate, F. Bracci, T. Suwa, F. Tovena: Localization of Atiyah classes. Rev. Mat. Iberoam. 29 (2013), 547-578. Pdf file, 180 KB.
M. Abate, F. Tovena: Poincare'-Bendixson theorems for meromorphic connections and holomorphic homogeneous vector fields. J. Diff. Equations, 251 (2011) 2612-2684. Pdf file, 672 KB.
M. Abate: Discrete holomorphic local dynamical systems. New version. In "Holomorphic dynamical systems", Eds. G. Gentili, J. Guenot, G. Patrizio, Lect. Notes in Math. 1998, Springer, Berlin, 2010, pp. 1-55. Pdf file, 352 KB.
M. Abate: Homogeneous vector fields and meromorphic connections. In "Progress in analysis and its applications", M. Ruzhanski, J. Wirth eds., World Scientific, Hong Kong, 2010, pp. 523-529. Pdf file, 160 KB.
M. Abate, A. Saracco: Carleson measures and uniformly discrete sequences in strongly pseudoconvex domains. J. London Math. Soc. 83 (2011), 587-605. Pdf file, 220 KB.
M. Abate, F. Bracci, F. Tovena: Embedding of submanifolds and normal bundles. Adv. Math. 220 (2009), 620-656. Pdf file, 500 KB.
M. Abate: An introduction to local holomorphic dynamics in one complex variable. In Advanced courses of mathematical analysis III, Eds. J.M. Delgado Sanchez and T.D. Benavides, World Scientific, Honk Kong, 2008, pp. 1-27. Pdf file, 420 KB.
M. Abate: A general approach to Camacho-Sad-like index theorems. In Proceedings of the 6th Congress of Romanian Mathematicians, Bucarest, 2008, pp. 83-92. Pdf file, 200 KB.
M. Abate, F. Bracci, F. Tovena: Index theorems for holomorphic maps and foliations. Indiana Univ. Math. J. 57 (2008), 2999-3048. Pdf file, 498 KB.
M. Abate, J.-P. Vigue': Isometries for the Caratheodory metric. Proc. Amer. Math. Soc. 136 (2008), 3905-3909. Pdf file, 364 KB.
M. Abate: Sistemi dinamici olomorfi discreti: versione breve con figure. Matem. Soc. Cult. 1 (2008), 409-441. In italiano. Pdf file, 652 KB.
M. Abate: Sistemi dinamici olomorfi discreti. Preprint, in italiano. Pdf file, 480 KB.
M. Abate, F. Bracci: Ritt's theorem and the Heins map in hyperbolic complex manifolds. Science in China, Ser. A, 48 Suppl. (2005), 238-243. Pdf file, 360 KB.
M. Abate, F. Tovena: Formal classification of holomorphic maps tangent to the identity. Disc. Cont. Dyn. Sys., Suppl. (2005), 1-10. Pdf file, 416 KB.
M. Abate: Discrete local holomorphic dynamics (revised edition). Originally appeared in Proceedings of 13th. Seminar on Analysis and Its Applications, Isfahan 2003, Eds. S. Azam et al., University of Isfahan, Iran, 2005, pp. 1-32. Pdf file, 928 KB.
M. Abate: Angular derivatives in several complex variables. In "Real methods in complex and CR geometry", Eds. D. Zaitsev, G. Zampieri, Lect. Notes in Math. 1848, Springer, Berlin, 2004, pp. 1-47. Pdf file, 608 KB.
M. Abate, F. Bracci, F. Tovena: Index theorems for holomorphic self-maps. Ann. Math. 159 (2004), 819-864. Pdf file, 628 KB.
M. Abate, F. Tovena: Parabolic curves in C^3. Abstr. Appl. Anal. 2003 (2003), 275-294. Pdf file, 472 KB.
M. Abate: Holomorphic classification of 2-dimensional quadratic maps tangent to the identity. Surikaisekikenkyusho Kokyuroku, 1447 (2005), 1-14. Pdf file, 400 KB.
M. Abate, R. Tauraso: The Lindelof principle and angular derivatives in convex domains of finite type. J. Austr. Math. Soc. 73 (2002), 221-250. Pdf file, 540 KB.
M. Abate: Basins of attraction in quadratic dynamical systems with a Jordan fixed point. Nonlinear Anal. 51 (2002), 271-282. Pdf file, 420 KB.
M. Abate: The residual index and the dynamics of holomorphic maps tangent to the identity. Duke Math. J. 107 (2001), 173-207. Pdf file, 520 KB.
M. Abate: Diagonalization of non diagonalizable discrete holomorphic dynamical systems. Amer. J. Math. 122 (2000), 757-781. Pdf file, 528 KB.
M. Abate, G. Patrizio: Isometries of the Teichmuller metric. Ann. Sc. Norm. Sup. Pisa 26 (1998), 437-452. Pdf file, 328 KB.
M. Abate, R. Tauraso: The Julia-Wolff-Caratheodory theorem(s). Contemp. Math. 222 (1999), 161-172. Pdf file, 420 KB.
M. Abate: The Julia-Wolff-Caratheodory theorem in polydisks. J. Analyse Math. 74 (1998), 275-306. Pdf file, 552 KB.
M. Abate, G. Patrizio: Convex-like properties of the Teichmuller metric. Contemp. Math. 222 (1999), 149-159. Pdf file, 388 KB.
M. Abate: When is a linear operator diagonalizable? Amer. Math. Monthly 104 (1997), 824-830. Pdf file, 348 KB.
M. Abate, G. Patrizio: Kahler Finsler metrics with constant holomorphic curvature. Int. J. Math. 8 (1997), 169-186. Pdf file, 432 KB.
M. Abate: A characterization of the Chern and the Bernwald connections. Houston J. Math. 22 (1996), 701-717. Pdf file, 380 KB.
M. Abate, T. Aikou, G. Patrizio: Preface for Complex Finsler Geometry. In "Finsler Geometry", Contemp. Math. 196, American Mathematical Society, Providence, 1996, pp. 97-100. Pdf file, 204 KB.
M. Abate, G. Patrizio: Finsler metrics of constant curvature and the characterization of tube domains. In "Finsler Geometry". Contemp. Math. 196, American Mathematical Society, Providence, 1996, pp. 101-107. Pdf file, 464 KB.
M. Abate: The complex geodesics of non-compact Hermitian symmetric spaces. In "Seminari di Geometria 1991-1993", Universita' di Bologna, 1994, pp. 1-18. Pdf file, 1.9 MB.