Antonio Giorgilli

Antonio Giorgilli (born 1949) is an Italian mathematical physicist,[1] known for his work on the perturbative theory of Hamiltonian systems with applications to studies of orbital stability for major and minor planets.

Education and career

At the University of Milan he graduated in March 1974 in physics with Laurea thesis on normal modes for nonlinear Hamiltonian systems and then held junior academic appointments in the physics department there. He taught physics at the University of Calabria for the two academic years 1977 to 1979 and then at the University of Milan for the academic year 1978–1979. At the Computing Center of the University of Milan he was appointed, in July 1979, Deputy Director and then, in January 1980, Technical Director, maintaining this office until March 1982. From 1983 to 1998 he served as a tenured associate professor at the University of Milan's mathematical physics group. In October 1998 he became an associate professor at the newly established University of Milan-Bicocca, where he was promoted to full professor in November 2000. In October 2005 he moved to the University of Milan's department of mathematics, where he currently is a full professor.[2]

In 1998 Giorgilli was an Invited Speaker of the International Congress of Mathematicians in Berlin.[3] He is a corresponding member of Istituto Lombardo Accademia di Scienze e Lettere.[2] The minor planet 27855 Giorgilli, discovered in 1995, is named in his honor.

Selected publications
  • Giorgilli, Antonio; Galgani, Luigi (1978). "Formal integrals for an autonomous Hamiltonian system near an equilibrium point". Celestial Mechanics. 17 (3): 267–280. Bibcode:1978CeMec..17..267G. doi:10.1007/BF01232832.
  • Contopoulos, George; Galgani, Luigi; Giorgilli, Antonio (1978). "On the number of isolating integrals in Hamiltonian systems". Physical Review A. 18 (3): 1183–1189. Bibcode:1978PhRvA..18.1183C. doi:10.1103/PhysRevA.18.1183.
  • Benettin, Giancarlo; Galgani, Luigi; Giorgilli, Antonio; Strelcyn, Jean-Marie (1980). "Lyapunov Characteristic Exponents for smooth dynamical systems and for hamiltonian systems; a method for computing all of them. Part 1: Theory". Meccanica. 15: 9–20. doi:10.1007/BF02128236. (This paper has been cited over 2000 times.)
  • Benettin, G.; Galgani, L.; Giorgilli, A.; Strelcyn, J. -M. (1984). "A proof of Kolmogorov's theorem on invariant tori using canonical transformations defined by the Lie method". Il Nuovo Cimento B. Series 11. 79 (2): 201–223. Bibcode:1984NCimB..79..201B. doi:10.1007/BF02748972.
  • Benettin, Giancarlo; Galgani, Luigi; Giorgilli, Antonio (1985). "A proof of Nekhoroshev's theorem for the stability times in nearly integrable Hamiltonian systems". Celestial Mechanics. 37 (1): 1–25. Bibcode:1985CeMec..37....1B. doi:10.1007/BF01230338.
  • Giorgilli, Antonio; Delshams, Amadeo; Fontich, Ernest; Galgani, Luigi; Simó, Carles (1989). "Effective stability for a Hamiltonian system near an elliptic equilibrium point, with an application to the restricted three body problem". Journal of Differential Equations. 77 (1): 167–198. Bibcode:1989JDE....77..167G. doi:10.1016/0022-0396(89)90161-7.
  • Benettin, Giancarlo; Galgani, Luigi; Giorgilli, Antonio (1989). "Realization of holonomic constraints and freezing of high frequency degrees of freedom in the light of classical perturbation theory. Part II". Communications in Mathematical Physics. 121 (4): 557–601. Bibcode:1989CMaPh.121..557B. doi:10.1007/BF01218157.
  • Celletti, Alessandra; Giorgilli, Antonio (1991). "On the stability of the Lagrangian points in the spatial restricted problem of three bodies". Celestial Mechanics and Dynamical Astronomy. 50 (1): 31–58. doi:10.1007/BF00048985. ISSN 0923-2958.
  • Benettin, Giancarlo; Giorgilli, Antonio (1994). "On the Hamiltonian interpolation of near-to-the identity symplectic mappings with application to symplectic integration algorithms". Journal of Statistical Physics. 74 (5–6): 1117–1143. Bibcode:1994JSP....74.1117B. doi:10.1007/BF02188219.
  • Morbidelli, Alessandro; Giorgilli, Antonio (1995). "Superexponential stability of KAM tori". Journal of Statistical Physics. 78 (5–6): 1607–1617. Bibcode:1995JSP....78.1607M. doi:10.1007/BF02180145.

References
  1. "Antonio Giorgilli, Prof. ordinario di Fisica Matematica". Università deli Studi di Milano.
  2. "Curriculum accademico di Antonio Giorgilli". Università deli Studi di Milano.
  3. Giorgilli, Antonio (1998). "On the problem of stability for near to integrable Hamiltonian systems". Doc. Math. (Bielefeld) Extra Vol. ICM Berlin, 1998, vol. III. pp. 143–152.
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