Filippo Bracci

Papers/Articoli:

92. F. Bracci, L. Kosinski, W. Zwonek, Holomorphic maps acting as Kobayashi isometries on a family of geodesics Math. Z. (2024) 308:20 https://doi.org/10.1007/s00209-024-03569-7

91. F. Bracci, H. Gaussier, A. Zimmer, The geometry of domains with negatively pinched Kaehler metrics, J. Differential Geom. Vol. 126, No. 3 (2024), 909-938

90. L. Arosio, F. Bracci, H. Gaussier, A counterexample to parabolic dichotomies in holomorphic iteration, J. Geom. Anal. (2024) 34:153 https://doi.org/10.1007/s12220-024-01606-9

89. F. Bracci, H. Gaussier, N. Nikolov, P. J. Thomas, Local and global visibility and Gromov hyperbolicity of domains with respect to the Kobayashi distance, Tran. Amer. Math. Soc. 377 (2024), 471-493

88. F. Bracci, Frames of quasi-geodesics, visibility and geodesic loops, Appl. Set-Valued Anal. Optim. 6 (2024), 53-63

87. F. Bracci, D. Kraus, O. Roth, A new Schwarz-Pick Lemma at the boundary and rigidity of holomorphic maps, Adv. Math., 432, (2023), paper N. 109262.

86. F. Bracci, O. Roth, Semigroup-fication of univalent self-maps of the unit disc, Ann. Inst. Fourier (Grenoble) 73 (2023) no. 1, pp. 251-277.

85. F. Bracci, P. Gumenyuk, Shearing maps and a Runge map of the unit ball which does not embed into a Loewner chain with range C^n, Stud. Univ. Babeş-Bolyai Math. 67 (2022), no. 2, 251–258.

84. F. Bracci, H. Gaussier, Abstract boundaries and continuous extension of biholomorphisms, Anal. Math. 48 (2022), no. 2, 393–409.

83. F. Bracci, D. Cordella, M. Kourou, Asymptotic monotonicity of the orthogonal speed and rate of convergence for semigroups of holomorphic self-maps of the unit disc, Rev. Mat. Iberoam. 38 (2022), 2, 527-546

82. F. Bracci, N. Nikolov, P. J. Thomas, Visibility of Kobayashi geodesics in convex domains and related properties, Math. Z. 301 (2022), 2, 2011-2035

81. F. Bracci, L. Kosinski, W. Zwonek, Slice rigidity property of holomorphic maps Kobayashi-isometrically preserving complex geodesics, J. Geom. Anal.  31 (2021), no. 11, 11292–11311.

80. L. Boc Thaler, F. Bracci, H. Peters, Automorphisms of C2 with parabolic cylinders, J. Geom. Anal. , 31, (2021), 4, 3498-3522.

79. F. Bracci, A. Saracco, S. Trapani, The pluricomplex Poisson kernel for strongly pseudoconvex domains, Adv. Math. 380 (2021), 107577.

78. F. Bracci, H. Gaussier, A. Zimmer, Homeomorphic extension of quasi-isometries for convex domains in C^d and iteration theory. Math. Ann. 379, 691-718 (2021).

77. F. Bracci, J. Raissy, B. Stensones, Automorphisms of C^k with an invariant non-recurrent attracting Fatou component biholomorphic to Cx(C*)^{k-1}. J. Eur. Math. Soc. 23, 2, 639-666, (2021)

76. F. Bracci, H. Gaussier, Horosphere Topology, Ann. Scuola Norm. Sup. di Pisa, Cl. Sci. 20, 1, 239-289, (2020) 

75. F. Bracci, M. D. Contreras, S. Diaz-Madrigal, H. Gaussier, Non-tangential limits and the slope of trajectories of holomorphic semigroups of the unit disc. Trans. Amer. Math. Soc. 373, 2, 939-969 (2020).

74. F. Bracci, M. D. Contreras, S. Diaz-Madrigal, H. Gaussier, A. Zimmer, Asymptotic behavior of orbits of holomorphic semigroups, J. Math. Pures Appl. (9) 133, 263-286 (2020).

73. F. Bracci, Speeds of convergence of orbits of non-elliptic semigroups of holomorphic self-maps of the unit disc, Ann. Univ. Mariae Curie-Sklodowska Sect. A, 73, 2, 21-43 (2019)

72. F. Bracci, M. D. Contreras, S. Diaz-Madrigal, H. Gaussier, A characterization of orthogonal convergence in simply connected domains. J. Geom. Anal. 29, 4, 3160-3175 (2019).

71. F. Bracci, J. E. Fornaess, E. Fornaess Wold, Comparison of invariant metrics and distances on strongly pseudoconvex domains and worm domains, Math. Z. 292, 3-4, 879-893 (2019).

70. F. Bracci, M. D. Contreras, S. Diaz-Madrigal, H. Gaussier, Backward orbits and petals of semigroups of holomorphic self-maps of the unit disc. Ann. Math. Pura Appl. 198, 2, (2019), 411-441.

69. F. Bracci, M. D. Contreras, S. Diaz-Madrigal, On the Koenigs function of semigroups of holomorphic self-maps of the unit disc. Anal. Math. Phys. 8 (2018), no. 4, 521--540.

68. F. Bracci, M. D. Contreras, S. Diaz-Madrigal, M. Elin, D. Shoikhet, Filtrations of infinitesimal generators. Funct. Approx. Comment. Math.,  59,  1 (2018), 99-115.

67. F. Bracci, H. Gaussier, A proof for the Muir-Suffridge conjecture for convex maps of the unit ball of Cn. Math. Ann. 372 (2018), no. 1-2, 845-858.

66. F. Bracci, O. Roth,  Support Points and the Bieberbach Conjecture. Higher Dimension Complex analysis and dynamical systems, 67-79, Trends Math., Birkhäuser/Springer, Cham, 2018.

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. Zaitsev, Dynamics 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 CN, 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. Zaitsev, Dynamics 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 bundles. Adv. 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 manifolds. Science 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 domains. Math. 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 surfaces. International J. Math., 15, 5, (2004) 443-466.

16. M. Abate F. Bracci, F. Tovena, Index Theorems for holomorphic self-maps. Ann. of Math. 159, 2, (2004), 819-864.

15. F. Bracci, First order extensions of holomorphic foliations. Hokkaido Math. J. 33, 2, (2004), 473-490.

14. F. Bracci, L. Molino, The dynamics near quasi-parabolic fixed points of holomorphic diffeomorphisms in C2. Amer. J. Math. 126 (2004), 671-686.

13. F. Bracci, P. Poggi-Corradini, On Valiron's theorem. Future 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.