Articoli e Preprints- Filippo Bracci - Papers and Preprints

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The copyrights of published or to appear papers belong to the corresponding journals. It is possible to freely download them for personal use but it is forbidden to reproduce them without written permission from the journals.

 

ARTICOLI PUBBLICATI/PUBLISHED PAPERS:

65. L. Arosio, F. Bracci,  Simultaneous models for commuting holomorphic self-maps of the ball, Adv. Math. 321 (2017), 486-512.
64.
F. Bracci, M. D. Contreras, S. Diaz-Madrigal, Topological invariants for semigroups of holomorphic self-maps of the unit disc, J. Math. Pures Appl., 107, 1, (2017), 78-99.
63. F. Bracci, P. Gumenyuk, Contact points and fractional singularities for semigroups of holomorphic self-maps in the unit disc, J. Anal. Math., 130, (2016), 1, 185-217.
62. F. Bracci, M. Levenshtein, S. Reich, D. Shoikhet, Growth Estimates for the Numerical Range of Holomorphic Mappings and Applications, Comput. Methods Funct. Theory 16, (2016), 3, 457-487.
61.
M. Abate, F. Bracci, Common boundary regular fixed points for holomorphic semigroups in strongly convex domains, Contemporary Mathematics, 667, (2016), 1-14.
60. F. Bracci, I. Graham, H. Hamada, G. Kohr, Variation of Loewner chains, extreme and support points in the class S^0  in higher dimensions, Constr. Approx. ,  43 (2016),  2, 231-251.
59. C. Bisi, F. Bracci, T. Izawa, T. Suwa, Localized intersection of currents and the Lefschetz coincidence point theorem, Ann. Mat. Pura Appl.  195, 2, (2016), 601-621.
58. L. Arosio, F. Bracci, Canonical Models for holomorphic iteration, Trans. Amer. Math. Soc. 5, 368, (2016), 3305-3339.
57. F. Bracci, A. Iannuzzi, B. McKay, Invariant holomorphic foliations on Kobayashi hyperbolic homogeneous manifolds, Proc. Amer. Math. Soc. 4, 144, (2016), 1619-1629.
56. F. Bracci, T. Suwa, Perturbation of Baum-Bott residues. Asian J. Math., 19, 5, (2015), 871-886.
55.
F. Bracci, Shearing process and an example of a bounded support function in S^0(B^2). Comput. Methods Funct. Theory, 15, 1 (2015), 151-157.
54. L. Arosio, F. Bracci, E. Fornaess Wold, Embedding  univalent functions in filtering Loewner chains in higher dimension, Proc. Amer. Math. Soc. 143 (2015), no. 4, 1627-1634.
53. F. Bracci, M. D. Contreras, S. Diaz-Madrigal, P. Gumenyuk, Boundary regular fixed points in Loewner theory, Ann. Mat. Pura Appl. 194 (2015), 1, 221-245.
52. F. Bracci, Y. Kozitsky, D. Shoikhet, Abel averages and holomorphically pseudo-contractive maps in Banach spaces. J. Math. Anal. Appl. 423 (2015), 2, 1580–1593.
51.
F. Bracci, J. E. Fornaess, The range of holomorphic maps  at boundary  points, Math. Ann. 359, 3-4, (2014), 909-927.
50.
F. Bracci, F. Rong, Dynamics of quasi-parabolic one-resonant biholomorphisms. J. Geom. Anal. 24, 3, (2014), 1497-1508.
49. F. Bracci,M. Elin, D. Shoikhet, Growth estimates for pseudo-dissipative holomorphic maps in Banach spaces, J. Nonlinear Convex Anal.15, 1,  (2014), 191-198.
48. F. Bracci, D. Shoikhet, Boundary behavior of infinitesimal generators in the unit ball, Trans. Amer. Math. Soc. 366 (2014), no. 2, 1119–1140.
47. F. Bracci, J. Raissy, D. ZaitsevDynamics of multi-resonant biholomorphisms. Int. Math. Res. Not.  20 (2013), 4772-4797.
46. F. Bracci,  M. D. Contreras, S. Diaz-Madrigal, A. Vasil'ev, Classical and stochastic Loewner-Kufarev equations, Harmonic and Complex Analysis and its Applications. Trends Math., Birkhäuser, Basel, 2013, 39-134.
45. L. Arosio, F. Bracci, E. Fornaess Wold, Solving the Loewner PDE in complete hyperbolic starlike domains of $\C^N$, Adv. Math. 242 (2013), 209-216.
44. F. Bracci, M. D. Contreras, S. Diaz-Madrigal, Regular poles and $\beta$-numbers in the theory of holomorphic semigroups, Constr. Approx., 37 (2013), 3, 357-381.
43. M. Abate, F. Bracci, T. Suwa, F. Tovena, Localization of Atiyah classes. Revista Matematica Iberoamericana,  29 (2013), no. 2, 547-578.
42.
L. Arosio, F. Bracci, H. Hamada, G. Kohr, An abstract approach to Loewner's chains. J. Anal. Math.  119 (2013), 1, 89–114.
41. F. Bracci, Holomorphic evolution: metamorphosis of the Loewner equation, Boll. UMI sez. B. (9), VI (2013), 137-165.
40.
F. Bracci, D. ZaitsevDynamics of one-resonant biholomorphisms  J. Eur. Math. Soc. 15, 1, (2013), 179-200.
39.
F. Bracci, M. D. Contreras, S. Diaz-Madrigal, Evolution Families and the Loewner Equation I: the unit disc J. Reine Angew. Math.(Crelle's Journal), 672, (2012), 1-37
38. L. Arosio, F. Bracci, Infinitesimal generators and the Loewner equation on complete hyperbolic manifolds, Anal. Math. Phys.4,1, (2012), 337-350.
37. F. Bracci, M. D. Contreras, S. Diaz-Madrigal, Semigroups versus evolution families in the Loewner theory J. Anal. Math, 115, 1, (2011), 273-292 .
36. F. Bracci,M. Elin, D. Shoikhet Normal forms and linearization of holomorphic dilation type semigroups in several variables J. Nonlinear Convex Anal.  12, 1, (2011), 143-154.
35. F. Bracci, G. Gentili, P. Poggi-Corradini, Valiron's construction in higher dimension Revista Matematica Iberoamericana  26,  1 (2010), 57-76.
34. F. Bracci, M. D. Contreras, S. Diaz-Madrigal, Pluripotential theory, semigroups and boundary behavior of infinitesimal generators in strongly convex domains J. Eur. Math. Soc., 12, 1, (2010), 23-53.

33.

F. Bracci, A. Saracco, Hyperbolicity in unbounded convex domains  Forum Math. 5, 21,  (2009), 815-826
32. F. Bracci, M. D. Contreras, S. Diaz-Madrigal, Evolution Families and the Loewner Equation II: complex hyperbolic manifolds Math. Ann. 344, 4, (2009), 947-962
31.
M. Abate, F. Bracci, F. Tovena, Embeddings of submanifolds and normal bundlesAdv. Math. 220 (2009), 620-656.
30.
F. Bracci, G. Patrizio and S. Trapani, The pluricomplex Poisson kernel for strongly convex domains.  Trans. Amer. Math. Soc., 361, 2, (2009), 979-1005.
29.
M. Abate, F. Bracci, F. Tovena, Index Theorems for Holomorphic Maps and Foliations.  Indiana Univ. Math. J. 57 (2008), 2999-3048.
28.
F. Bracci, A note on random holomorphic iteration in convex domains.  Proc. Edinburgh Math. Soc. 51, (2008), 297-302
27.
F. Bracci, M. D. Contreras e S. Diaz-Madrigal, Aleksandrov-Clark measures and semigroups of analytic functions in the unit disc  Acad. Sci. Fenn. 33, (2008), 231-240.
26.
F. Bracci,  D. Zaitsev, Boundary jets of holomorphic maps between strongly pseudoconvex domains Journal of  Funct. Anal.254, (2008), 1449-1466.
25.
F. Bracci, M. D. Contreras, S. Diaz-Madrigal, Infinitesimal generators associated with semigroups of linear fractional maps J. Anal. Math., 102, (2007) 119--142.
24.
F. Bracci, B. Scardua, Holomorphic vector fields transverse to polydiscs. J. London Math. Soc., 75, 1, (2007), 99-115.
23.
F. Bracci, M. D. Contreras, S. Diaz-Madrigal, Classification of semigroups of linear fractional maps in the unit ball.  Adv. Math., 208, (2007), 318-350.
22.
F. Bracci, G. Gentili, Solving the Schroeder equation at the boundary in several variables. Michigan Math. J., 53, 2, (2005), 337-356.
21.
M. Abate, F. Bracci, Ritt's theorem and the Heins map in hyperbolic complex manifoldsScience in China Ser. A Mathematics, vol. 48 Suppl. (2005), 238-243.
20.
F. Bracci, G. Patrizio, Monge-Ampère foliations with singularities at the boundary of strongly convex domainsMath. Ann. 332, 3, (2005) 499-522
19.
F. Bracci, T.Suwa, Residues for holomorphic foliations of singular pairs.  Adv. Geom. 5, 1, (2005), 81-95.
18.
F. Bracci, Local dynamics of holomorphic diffeomorphisms. Boll. UMI sez. B. (8) 7-B (2004), 609-636.
17.
F. Bracci, T. Suwa, Residues for singular pairs and dynamics of biholomorphic maps of singular surfacesInternational J. Math., 15, 5, (2004) 443-466.
16.
M. Abate F. Bracci, F. Tovena, Index Theorems for holomorphic self-mapsAnn. of Math. 159, 2, (2004), 819-864.
15.
F. Bracci, First order extensions of holomorphic foliationsHokkaido Math. J. 33, 2, (2004), 473-490.
14.
F. Bracci, L. Molino, The dynamics near quasi-parabolic fixed points of holomorphic diffeomorphisms in C2Amer. J. Math. 126 (2004), 671-686.
13.
F. Bracci, P. Poggi-Corradini, On Valiron's theoremFuture Trends in Geometric Function Theory. RNC Workshop Jyvaskyla 2003, Rep. Univ. Jyvaskyla Dept. Math. Stat. 92 (2003), 39-55.
12.
F. Bracci, The Dynamics of holomorphic maps near curves of fixed points. Ann. Scuola Norm. Sup.di Pisa, Cl.  Sci. (5) Vol. II (2003), 493-520.
11.
F. Bracci, Fixed points of commuting holomorphic mappings other than the Wolff point. Trans. Amer. Math. Soc. 355, 6, (2003), 2569-2584.
10.
F. Bracci, Dilatation and order of contact for holomorphic self-maps of strongly convex domains. Proc. London Math. Soc. 86, 1, (2003), 131-152.
9.
F. Bracci, Holomorphic dependence of the Heins map. Complex Variables Theory and Appl..47, 12, (2002), 1115-1119.
8.
F. Bracci, R. Tauraso, F.Vlacci, Identity Principles for commuting holomorphic self-maps of the unit disc.    J. Math. Anal. Appl. , 270, 2 (2002), 451-473.
7.
F. Bracci, F. Tovena, Residual Indices of holomorphic maps relative to  singular curves of fixed points on surfaces.  Math. Z. , 242, 3 (2002), 481-490.
6.
F. Bracci, C. Bisi, Linear fractional maps of the unit ball: a geometric study. Adv. Math. 167, 2, (2002), 265-287.
5.
F. Bracci, Fixed points of commuting holomorphic maps without boundary regularity Canadian Math. Bull. 43, n.4 (2000), 294-303. 
4.
F. Bracci, Mappe Olomorfe che Commutano (in Italiano) Seminari di Geometria dell'Università di Bologna, 1998-99 (2000) 1-35.
3.
F. Bracci, On the geometry at the boundary of holomorphic self-maps of the unit ball of Cn Complex Variables Theory and Appl. 38 (1999) 221-241.
2.
F. Bracci, Common fixed points of commuting holomorphic maps in the unit ball of Cn Proc. Amer. Math. Soc. 127 (1999), 1133-1141.
1.
F. Bracci, Commuting holomorphic maps in strongly convex domains Ann. Scuola Norm. Sup. di Pisa, Cl. Sci. (4) 27 (1998), 1, 131-144.

IN STAMPA/TO APPEAR:

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F. Bracci, H. Gaussier, A proof of the Muir-Suffridge conjecture for convex maps of the unit ball in $\C^n$, Math. Ann.

 

PREPRINTS:

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F. Bracci, J. E. Fornaess, E. Fornaess Wold, Comparison of invariant metrics and distances on strongly pseudoconvex domains and worm domains, Preprint 2017

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F. Bracci, J. Raissy, B. Stensones, Automorphisms of C^2 with an invariant non-recurrent attracting Fatou component biholomorphic to CxC*. Preprint 2017

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F. Bracci, H. Gaussier, Horosphere Topology, Preprint 2016.

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F. Bracci, O. Roth, Support points and the Bieberbach conjecture in higher dimension, Preprint 2016

 

NOTE/NOTES :

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F. Bracci, M. McQuillan, Marco Brunella, un ricordo. Notiziario UMI Giugno-Luglio 2012

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F. Bracci Elementi di Algebra Tensoriale

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M. Abate, F. Bracci, M. D. Contreras, S. Diaz-Madrigal, The evolution of Loewner's differential equations, Newsletter European Math. Soc. 78, December 2010, 31-38.

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M. Triestino, Loewner’s Theory from the deterministic point of view by F. Bracci (with an appendix of S. Diaz-Madrigal)  Notes of my course at SMI Cortona August 2010.

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F. Bracci, Parabolic attitude, ``Asymptotics in Dynamics, Geometry and PDE's; Generalized Borel Summation'', proceedings of the conference held at CRM, Pisa, 12-16 ottobre 2009, O. Costin, F. Fauvet, F. Menous e D. Sauzin eds., CRM series, Pisa, Edizioni Della Normale 2010

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F. Bracci, Pluricomplex Green function, pluricomplex Poisson kernel and applications. Geometry Seminars. 2005–2009 (Italian), 21–32, Univ. Stud. Bologna, Bologna, 2010.

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F. Bracci, Teoria dei Fibrati. (ultima revisione 20-11-2014) Note del corso di Laurea Specialistica/Dottorato  

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F. Bracci, Local holomorphic dynamics of diffeomorphisms in dimension one. Contemporary Mathematics 525, (2010), 1-42. Notes of the PhD course given in A.A 2007/08. 

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F. Bracci, Ordine caos dinamica: è possibile prevedere il futuro? Presentazione pps per ScienzaOrienta2009

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F. Bracci, Localizations, Partial holomorphic connections, the Atiyah bundle and the Camacho-Sad index theorem. RIMS Kokyuroku, Proccedings of the Conference Geoemtry and Analysis on complex Algebraic Varieties, Dec. 11-15, 2006, RIMS Kyoto.

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F. Bracci, S. Trapani Notes on Pluripotential Theory. Rend. Mat. Appl., Serie VII, 27, (2007), 197-264. Notes of the PhD course given in A.A 2005/06.

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F. Bracci, A note on indices theorems (Notes della conferenza al RIMS Symposium Topological and geometrical  methods of complex differential equation, Kyoto, 2004. 

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F. Bracci, Localization of characteristic classes and applications. Notes of a course given by  Prof. Tatsuo Suwa in September 2001.

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F. Bracci, G. Minervini, Methods of differential geometry in analytic and algebraic geometry. Notes of a course given by Prof. Daniel Lehmann in December 2001.

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F. Bracci, R. Tauraso Una introduzione agli operatori di composizione. Note del corso di dottorato tenuto nell' A.A. 2000/2001.

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F. Bracci, La Forma di Jordan. Note per gli studenti del corso di Geometria.