Marco Abate

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All published works

Action	Title	Year	Authors
+ PDF Chat	Dynamics of Fuchsian meromorphic connections with real periods	2024	Marco Abate Karim Rakhimov
+	1 The Schwarz lemma and Riemann surfaces	2022	Marco Abate
+	4 Discrete dynamics on the unit disk	2022	Marco Abate
+	2 Boundary Schwarz lemmas	2022	Marco Abate
+	3 Discrete dynamics on Riemann surfaces	2022	Marco Abate
+	5 Continuous dynamics on Riemann surfaces	2022	Marco Abate
+ PDF Chat	Holomorphic Dynamics on Hyperbolic Riemann Surfaces	2022	Marco Abate
+ PDF Chat	Random iteration on hyperbolic Riemann surfaces	2022	Marco Abate Argyrios Christodoulou
+ PDF Chat	Multipoint Julia theorems	2021	Marco Abate
+	Random iteration on hyperbolic Riemann surfaces	2021	Marco Abate Argyrios Christodoulou
+	Multipoint Julia theorems	2021	Marco Abate
+	Random iteration on hyperbolic Riemann surfaces	2021	Marco Abate Argyrios Christodoulou
+	Multipoint Julia theorems	2021	Marco Abate
+ PDF Chat	Number Theory Revealed: An Introduction by Andrew Granville	2020	Marco Abate
+ PDF Chat	Toeplitz operators and skew Carleson measures for weighted Bergman spaces on strongly pseudoconvex domains	2020	Marco Abate Samuele Mongodi Jasmin Raissy
+	Corrigendum to “Backward iteration in strongly convex domains” [Adv. Math. 228 (5) (2011) 2837–2854]	2020	Marco Abate Jasmin Raissy
+	Geometric Origami	2020	Marco Abate
+	Toeplitz Operators and Skew Carleson measures for weighted Bergman spaces on strongly pseudoconvex domains	2019	Marco Abate Samuele Mongodi Jasmin Raissy
+ PDF Chat	Skew Carleson Measures in Strongly Pseudoconvex Domains	2018	Marco Abate Jasmin Raissy
+	Imagine Math 6	2018	Michèle Emmer Marco Abate
+	Skew Carleson measures in strongly pseudoconvex domains	2017	Marco Abate Jasmin Raissy
+ PDF Chat	Carleson Measures and Toeplitz Operators	2017	Marco Abate
+ PDF Chat	Dynamics in Several Complex Variables	2017	Marco Abate
+ PDF Chat	Invariant Distances	2017	Marco Abate
+	Skew Carleson measures in strongly pseudoconvex domains	2017	Marco Abate Jasmin Raissy
+ PDF Chat	Common Boundary Regular Fixed Points for Holomorphic Semigroups in Strongly Convex Domains	2016	Marco Abate Filippo Bracci
+	A Julia-Wolff-Carathéodory theorem for infinitesimal generators in the unit ball	2015	Marco Abate Jasmin Raissy
+ PDF Chat	A Poincaré–Bendixson theorem for meromorphic connections on Riemann surfaces	2015	Marco Abate Fabrizio Bianchi
+ PDF Chat	Fatou Flowers and Parabolic Curves	2015	Marco Abate
+	The Kobayashi distance in holomorphic dynamics and operator theory	2015	Marco Abate
+	Fatou flowers and parabolic curves	2015	Marco Abate
+ PDF Chat	Index theorems for meromorphic self-maps of the projective space	2014	Marco Abate
+	À LA RECHERCHE DES RACINES PERDUES (In Search of Lost Roots)	2014	Marco Abate
+	A Poincar\'e-Bendixson theorem for meromorphic connections on Riemann surfaces	2014	Marco Abate Fabrizio Bianchi
+ PDF Chat	Index theorems for meromorphic self-maps of the projective space	2014	Marco Abate
+	A Julia-Wolff-Carath\'eodory theorem for infinitesimal generators in the unit ball	2014	Marco Abate Jasmin Raissy
+	Common boundary regular fixed points for holomorphic semigroups in strongly convex domains	2014	Marco Abate Filippo Bracci
+	A Julia-Wolff-Carathéodory theorem for infinitesimal generators in the unit ball	2014	Marco Abate Jasmin Raissy
+	A Poincaré-Bendixson theorem for meromorphic connections on Riemann surfaces	2014	Marco Abate F. Bianchi
+ PDF Chat	Localization of Atiyah classes	2013	Marco Abate Filippo Bracci Tatsuo Suwa Francesca Tovena
+ PDF Chat	Wolff–Denjoy theorems in nonsmooth convex domains	2013	Marco Abate Jasmin Raissy
+ PDF Chat	Formal Poincaré-Dulac renormalization for holomorphic germs	2012	Marco Abate Jasmin Raissy
+	Wolff-Denjoy theorems in non-smooth convex domains	2012	Marco Abate Jasmin Raissy
+	Toeplitz operators and Carleson measures in strongly pseudoconvex domains	2012	Marco Abate Jasmin Raissy Alberto Saracco
+ PDF Chat	Stable manifolds for holomorphic automorphisms	2012	Marco Abate Alberto Abbondandolo Pietro Majer
+	Denjoy-Wolff theorems in not necessarily smooth convex domains	2012	Marco Abate
+	Curves and Surfaces	2012	Marco Abate Francesca Tovena
+	The Gauss-Bonnet theorem	2012	Marco Abate Francesca Tovena
+	The Many Faces of Lorenz Knots	2012	Marco Abate
+	Global theory of plane curves	2012	Marco Abate Francesca Tovena
+	Global theory of surfaces	2012	Marco Abate Francesca Tovena
+	Local theory of curves	2012	Marco Abate Francesca Tovena
+	Local theory of surfaces	2012	Marco Abate Francesca Tovena
+	Geodesics	2012	Marco Abate Francesca Tovena
+	Wolff-Denjoy theorems in non-smooth convex domains	2012	Marco Abate Jasmin Raissy
+	Toeplitz operators and Carleson measures in strongly pseudoconvex domains	2012	Marco Abate Jasmin Raissy Alberto Saracco
+ PDF Chat	Open problems in local discrete holomorphic dynamics	2011	Marco Abate
+	Backward iteration in strongly convex domains	2011	Marco Abate Jasmin Raissy
+	Open problems in local discrete holomorphic dynamics	2011	Marco Abate
+	Poincaré–Bendixson theorems for meromorphic connections and holomorphic homogeneous vector fields	2011	Marco Abate Francesca Tovena
+	Backward iteration in strongly convex domains	2011	Marco Abate Jasmin Raissy
+	Stable manifolds for holomorphic automorphisms	2011	Marco Abate Alberto Abbondandolo Pietro Majer
+ PDF Chat	Carleson measures and uniformly discrete sequences in strongly pseudoconvex domains	2011	Marco Abate Alberto Saracco
+	Forme differenziali e integrazione	2011	Marco Abate Francesca Tovena
+	Strutture su varietà	2011	Marco Abate Francesca Tovena
+	Algebra multilineare	2011	Marco Abate Francesca Tovena
+	Geometria Differenziale	2011	Marco Abate Francesca Tovena
+	Coomologia	2011	Marco Abate Francesca Tovena
+	Open problems in local discrete holomorphic dynamics	2011	Marco Abate
+	Backward iteration in strongly convex domains	2011	Marco Abate Jasmin Raissy
+	Stable manifolds for holomorphic automorphisms	2011	Marco Abate Alberto Abbondandolo Pietro Majer
+	Index theorems for meromorphic self-maps of the projective space	2011	Marco Abate
+	Estratto da Anathem di Neal Stephenson	2011	Marco Abate
+	Homogeneous vector fields and meromorphic connections	2010	Marco Abate
+	Localization of Atiyah classes	2010	Marco Abate Filippo Bracci Tatsuo Suwa Francesca Tovena
+ PDF Chat	Discrete Holomorphic Local Dynamical Systems	2010	Marco Abate
+	The evolution of Loewner's differential equations	2010	Marco Abate Filippo Bracci Manuel D. Contreras Santiago Díaz-Madrigal
+	Geometria analitica con elementi di algebra lineare. Seconda edizione	2010	Marco Abate Chiara de Fabritiis
+	Holomorphic Dynamical Systems	2010	Marco Abate Eric Bedford Marco Brunella Tien‐Cuong Dinh Dierk Schleicher Nessim Sibony
+	Sistemi dinamici e sistemi caotici	2010	Marco Abate
+	Localization of Atiyah classes	2010	Marco Abate Filippo Bracci Tatsuo Suwa Francesca Tovena
+	Holomorphic dynamical systems : lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 7-12, 2008	2010	Marco Abate Eric Bedford Marco Brunella Tien‐Cuong Dinh Dierk Schleicher Nessim Sibony Granziano Gentili Jacques Guenot Giorgio Patrizio
+	Mathematics and Culture in Europe by Mirella Manaresi (ed.)	2009	Marco Abate
+	Poincaré-Bendixson theorems for meromorphic connections and homogeneous vector fields	2009	Marco Abate Francesca Tovena
+	Discrete holomorphic local dynamical systems	2009	Marco Abate
+ PDF Chat	Embeddings of submanifolds and normal bundles	2008	Marco Abate Filippo Bracci Francesca Tovena
+	AN INTRODUCTION TO DISCRETE HOLOMORPHIC LOCAL DYNAMICS IN ONE COMPLEX VARIABLE	2008	Marco Abate
+	Isometries for the Carathéodory metric	2008	Marco Abate Jean-Pierre Vigué
+ PDF Chat	Index theorems for holomorphic maps and foliations	2008	Marco Abate Filippo Bracci Francesca Tovena
+	Sistemi dinamici discreti alomorfi locali	2008	Marco Abate
+	Il flusso di Ricci	2007	Marco Abate
+	Il girasole di Fibonacci	2007	Marco Abate
+	Isometries for the Caratheodory Metric	2007	Marco Abate Jean-Pierre Vigué
+	Teoria globale delle curve piane	2006	Marco Abate Francesca Tovena
+	Geometria analitica con elementi di algebra lineare	2006	Marco Abate de Fabritiis Chiara
+	Index theorems for holomorphic maps and foliations	2006	Marco Abate Filippo Bracci Francesca Tovena
+	Embeddings of submanifolds and normal bundles	2006	Marco Abate Filippo Bracci Francesca Tovena
+	Curvature	2006	Marco Abate Francesca Tovena
+	Il teorema di Gauss-Bonnet	2006	Marco Abate Francesca Tovena
+ PDF Chat	Ritt’s theorem and the Heins map in hyperbolic complex manifolds	2005	Marco Abate Filippo Bracci
+	Formal normal forms for holomorphic maps tangent to the identity	2005	Marco Abate Francesca Tovena
+	Holomorphic classification of 2-dimensional quadratic maps tangent to the identity (複素力学系 Complex Dynamic)	2005	Marco Abate
+	Index theorems for holomorphic self-maps	2005	Marco Abate Filippo Bracci Francesca Tovena
+	Discrete local holomorphic dynamics	2005	Marco Abate
+ PDF Chat	Index theorems for holomorphic self-maps	2004	Marco Abate Filippo Bracci Francesca Tovena
+	Formal normal forms for holomorphic maps tangent to the identity	2004	Marco Abate Francesca Tovena
+	Angular Derivatives in Several Complex Variables	2004	Marco Abate
+	Real Methods in Complex and CR Geometry	2004	Marco Abate John Erik Fornæss Jimmy Xiangji Huang Jean-Pierre Rosay Alexander Tumanov
+	Real methods in complex and CR geometry : lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, June 30-July 6, 2002	2004	Marco Abate Д А Зайцев Gaetano Zampieri John Erik Fornæss Jimmy Xiangji Huang Jean-Pierre Rosay Alexander Tumanov
+	Discrete local holomorphic dynamics	2003	Marco Abate
+ PDF Chat	Parabolic curves in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$\mathbb{C}^3$" id="E1"><mml:mrow><mml:msup><mml:mi>ℂ</mml:mi><mml:mn>3</mml:mn></mml:msup></mml:mrow></mml:math>	2003	Marco Abate Francesca Tovena
+	Basins of attraction in quadratic dynamical systems with a Jordan fixed point	2002	Marco Abate
+ PDF Chat	The Lindelöf principle and angular derivatives in convex domains of finite type	2002	Marco Abate Roberto Tauraso
+	The residual index and the dynamics of holomorphic maps tangent to the identity	2001	Marco Abate
+ PDF Chat	Diagonalization of nondiagonalizable discrete holomorphic dynamical systems	2000	Marco Abate
+ PDF Chat	The Julia-Wolff-Carathéodory theorem(s)	1999	Marco Abate Roberto Tauraso
+	Diagonalization of non-diagonalizable discrete holomorphic dynamical systems	1999	Marco Abate
+	Convex-like properties of the Teichmüller metric	1999	Marco Abate Giorgio Patrizio
+ PDF Chat	The Julia-Wolff-Carathéodory theorem in polydisks	1998	Marco Abate
+	Isometries of the Teichmüller metric	1998	Marco Abate Giorgio Patrizio
+	When Is a Linear Operator Diagonalizable?	1997	Marco Abate
+	Kähler Finsler Manifolds of Constant Holomorphic Curvature	1997	Marco Abate Giorgio Patrizio
+ PDF Chat	Holomorphic curvature of Finsler metrics and complex geodesics	1996	Marco Abate Giorgio Patrizio
+	The Julia-Wolff-Caratheodory theorem in polydisks	1996	Marco Abate
+ PDF Chat	Complex geodesics and Finsler metrics	1995	Marco Abate Giorgio Patrizio
+ PDF Chat	COMPLEX FINSLER METRICS	1994	Marco Abate Giorgio Patrizio
+	Iteration of holomorphic families	1994	Marco Abate
+	Manifolds with constant holomorphic curvature	1994	Marco Abate Giorgio Patrizio
+ PDF Chat	A Characterization of Hyperbolic Manifolds	1993	Marco Abate
+ PDF Chat	A characterization of hyperbolic manifolds	1993	Marco Abate
+	Complex Finsler metrics	1993	Marco Abate Giorgio Patrizio
+	Uniqueness of complex geodesics and characterization of circular domains	1992	Marco Abate Giorgio Patrizio
+	Holomorphic actions on contractible domains without fixed points	1992	Marco Abate Peter Heinzner
+ PDF Chat	The infinitesimal generators of semigroups of holomorphic maps	1992	Marco Abate
+	Holomorphic curvature of Finsler metrics and complex geodesics	1992	Marco Abate Giorgio Patrizio
+	Holomorphic curvature of Finsler metrics and complex geodesics	1992	Marco Abate Giorgio Patrizio
+ PDF Chat	Common Fixed Points in Hyperbolic Riemann Surfaces and Convex Domains	1991	Marco Abate Jean-Pierre Vigué
+	Iteration theory, compactly divergent sequences and commuting holomorphic maps	1991	Marco Abate
+ PDF Chat	Common fixed points in hyperbolic Riemann surfaces and convex domains	1991	Marco Abate Jean-Pierre Vigué
+	Errata-Corrige : “Iteration theory, compactly divergent sequences and commuting holomorphic maps”	1991	Marco Abate
+	Angular derivatives in strongly pseudoconvex domains	1991	Marco Abate
+	The Lindelöf principle and the angular derivative in strongly convex domains	1990	Marco Abate
+	Iteration theory on weakly convex domains	1990	Marco Abate
+	Iterates and semigroups on taut manifolds	1990	Marco Abate
+	Common fixed points of commuting holomorphic maps	1989	Marco Abate
+	Iteration theory of holomorphic maps on taut manifolds	1989	Marco Abate
+ PDF Chat	Annular bundles	1988	Marco Abate
+	Horospheres and iterates of holomorphic maps	1988	Marco Abate
+	Converging semigroups of holomorphic maps	1988	Marco Abate
+	Orbit structure of non-compact hermitian symmetric spaces	1987	Marco Abate
+	Boundary behaviour of invariant distances and complex geodesics	1986	Marco Abate
+	Automorphism groups of the classical domains. II	1985	Marco Abate

Common Coauthors

Coauthor	Papers Together
Francesca Tovena	29
Jasmin Raissy	18
Filippo Bracci	13
Giorgio Patrizio	12
Jean-Pierre Vigué	4
Pietro Majer	3
Fabrizio Bianchi	3
Tatsuo Suwa	3
Argyrios Christodoulou	3
Alberto Abbondandolo	3
Alberto Saracco	3
John Erik Fornæss	2
Marco Brunella	2
Jean-Pierre Rosay	2
Dierk Schleicher	2
Roberto Tauraso	2
Alexander Tumanov	2
Nessim Sibony	2
Samuele Mongodi	2
Tien‐Cuong Dinh	2
Eric Bedford	2
Jimmy Xiangji Huang	2
Chiara de Fabritiis	1
Peter Heinzner	1
Santiago Díaz-Madrigal	1
Manuel D. Contreras	1
Granziano Gentili	1
de Fabritiis Chiara	1
Karim Rakhimov	1
Michèle Emmer	1
Д А Зайцев	1
Jacques Guenot	1
Gaetano Zampieri	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Iteration theory of holomorphic maps on taut manifolds	1989	Marco Abate	35
+	The residual index and the dynamics of holomorphic maps tangent to the identity	2001	Marco Abate	20
+	Analytic transformations of (Cp,0) tangent to the identity	1998	Monique Hakim	18
+ PDF Chat	Index theorems for holomorphic self-maps	2004	Marco Abate Filippo Bracci Francesca Tovena	17
+ PDF Chat	Diagonalization of nondiagonalizable discrete holomorphic dynamical systems	2000	Marco Abate	17
+	Invariant Varieties Through Singularities of Holomorphic Vector Fields	1982	César Camacho Paulo Sad	13
+	Horospheres and iterates of holomorphic maps	1988	Marco Abate	13
+	Hyperbolic Complex Spaces	1998	Shôshichi Kobayashi	13
+	Invariant Distances and Metrics in Complex Analysis	1993	Marek Jarnicki Peter Pflug	13
+	Dynamics in one complex variable	2000	John Milnor	12
+ PDF Chat	Index theorems for holomorphic maps and foliations	2008	Marco Abate Filippo Bracci Francesca Tovena	12
+ PDF Chat	Attracting basins for automorphisms of C 2	1998	Brendan Weickert	11
+ PDF Chat	Sur les équations fonctionnelles	1920	P. Fatou	11
+ PDF Chat	Parabolic curves in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$\mathbb{C}^3$" id="E1"><mml:mrow><mml:msup><mml:mi>ℂ</mml:mi><mml:mn>3</mml:mn></mml:msup></mml:mrow></mml:math>	2003	Marco Abate Francesca Tovena	11
+ PDF Chat	Local structure of analytic transformations of two complex variables, II	1991	Tetsuo Ueda	10
+	RESIDUES FOR SINGULAR PAIRS AND DYNAMICS OF BIHOLOMORPHIC MAPS OF SINGULAR SURFACES	2004	Filippo Bracci Tatsuo Suwa	10
+	Function Theory in the Unit Ball of ℂn	2012	Walter Rudin	10
+ PDF Chat	Carleson measures and uniformly discrete sequences in strongly pseudoconvex domains	2011	Marco Abate Alberto Saracco	10
+ PDF Chat	Parabolic manifolds for semi-attractive holomorphic germs	2001	Marzia Rivi	9
+ PDF Chat	Attracting domains for semi-attractive transformations of $\mathbf{C}^p$	1994	Monique Hakim	9
+	Hyperbolic Manifolds and Holomorphic Mappings.	1972	C. B. Allendoerfer Shôshichi Kobayashi	9
+	Local Contractions and a Theorem of Poincare	1957	Shlomo Sternberg	9
+ PDF Chat	Extension nouvelle d'un lemme de Schwarz	1920	Gastón Julia	9
+ PDF Chat	Total Convergence or General Divergence¶in Small Divisors	2001	Ricardo Pérez-Marco	8
+	Introduction to the modern theory of dynamical systems	1996	Anatole Katok Boris Hasselblatt	8
+ PDF Chat	Singularities of holomorphic foliations	1972	Paul Baum Raoul Bott	8
+ PDF Chat	Fixed points and circle maps	1997	Ricardo Pérez-Marco	8
+ PDF Chat	Intrinsic distances, measures and geometric function theory	1976	Shôshichi Kobayashi	8
+	Iteration theory, compactly divergent sequences and commuting holomorphic maps	1991	Marco Abate	7
+ PDF Chat	A technique for characterizing Carleson measures on Bergman spaces	1983	Daniel H. Luecking	7
+	Principles of Algebraic Geometry	1978	Phillip Griffiths Joseph Harris	7
+	An Introduction to Classical Complex Analysis	1979	Robert B. Burckel	7
+	The Lindelöf principle and the angular derivative in strongly convex domains	1990	Marco Abate	7
+ PDF Chat	Residues of holomorphic vector fields relative to singular invariant subvarieties	1995	Daniel Lehmann Tatsuo Suwa	7
+ PDF Chat	Normal families of holomorphic mappings	1967	H. Wu	7
+	Interpolations by Bounded Analytic Functions and the Corona Problem	1962	Lennart Carleson	7
+	Divergence of series reducing an analytic differential equation to linear normal form at a singular point	1979	Yu. Ilyashenko	7
+	Angular Derivatives in Several Complex Variables	2004	Marco Abate	7
+	Introduction to Complex Analysis in Several Variables	2005	Volker Scheidemann	7
+	Normalformen biholomorpher Abbildungen mit anziehendem Fixpunkt	1969	Ludwig Reich	7
+ PDF Chat	Discrete Holomorphic Local Dynamical Systems	2010	Marco Abate	6
+	On the automorphism group of a stein manifold	1983	Eric Bedford	6
+ PDF Chat	COMPLEX FINSLER METRICS	1994	Marco Abate Giorgio Patrizio	6
+	A Deduction from Schwarz'S Lemma	1929	Edmund Landau G. Valiron	6
+ PDF Chat	The dynamics of maps tangent to the identity and with nonvanishing index	2008	Laura Molino	6
+	Geometrical Methods in the Theory of Ordinary Differential Equations	1988	V. I. Arnold	6
+	Function Theory of Several Complex Variables	2001	Steven G. Krantz	6
+	Poincaré–Bendixson theorems for meromorphic connections and holomorphic homogeneous vector fields	2011	Marco Abate Francesca Tovena	6
+	The dynamics of holomorphic maps near curves of fixed points	2003	Filippo Bracci	6
+	Common fixed points of commuting holomorphic maps	1989	Marco Abate	6