Biography:Antonio Giorgilli

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Short description: Italian mathematical physicist

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, as a full professor. Since november 2019 he is retired.[2]

In 1998 Giorgilli was an Invited Speaker of the International Congress of Mathematicians in Berlin.[3] He is a 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. doi:10.1007/BF01232832. Bibcode: 1978CeMec..17..267G. 
  • Contopoulos, George; Galgani, Luigi; Giorgilli, Antonio (1978). "On the number of isolating integrals in Hamiltonian systems". Physical Review A 18 (3): 1183–1189. doi:10.1103/PhysRevA.18.1183. Bibcode: 1978PhRvA..18.1183C. 
  • 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. doi:10.1007/BF02748972. Bibcode: 1984NCimB..79..201B. 
  • 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. doi:10.1007/BF01230338. Bibcode: 1985CeMec..37....1B. 
  • 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. doi:10.1016/0022-0396(89)90161-7. Bibcode: 1989JDE....77..167G. 
  • 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. doi:10.1007/BF01218157. Bibcode: 1989CMaPh.121..557B. 
  • 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. doi:10.1007/BF02188219. Bibcode: 1994JSP....74.1117B. 
  • Morbidelli, Alessandro; Giorgilli, Antonio (1995). "Superexponential stability of KAM tori". Journal of Statistical Physics 78 (5–6): 1607–1617. doi:10.1007/BF02180145. Bibcode: 1995JSP....78.1607M. 
  • Giorgilli, Antonio; Paleari, Simone; Penati, Tiziano (2012). "Extensive adiabatic invariants for nonlinear chains". Journal of Statistical Physics 148 (6): 1106–1134. doi:10.1007/s10955-012-0568-9. Bibcode: 2012JSP...148.1106G. 
  • Giorgilli, Antonio; Locatelli, Ugo; Sansottera, Marco (2014). "Improved convergence estimates for the Schroder-Siegel problem". Annali di Matematica Pura ed Applicata 194 (4): 995–1023. doi:10.1007/s10231-014-0408-4. 
  • Giorgilli, Antonio; Paleari, Simone; Penati, Tiziano (2015). "An extensive adiabatic invariant for the Klein-Gordon model in the thermodynamic limit". Annales Henri Poincaré 16 (4): 897–9559. doi:10.1007/s00023-014-0335-3. Bibcode: 2015AnHP...16..897G. 
  • Giorgilli, Antonio; Locatelli, Ugo; Sansottera, Marco (2017). "Secular dynamics of a planar model of the Sun--Jupiter--Saturn--Uranus system; effective stability into the light of Kolmogorov and Nekhoroshev theories". Regular and Chaotic Dynamics 22 (1): 54–77. doi:10.1134/S156035471701004X. Bibcode: 2017RCD....22...54G. 
  • Giorgilli, Antonio (2022). Notes on Hamiltonian Dynamical Systems. Cambridge University Press. doi:10.1017/9781009151122. ISBN 9781009151139. 

References

  1. ↑ "Antonio Giorgilli, Prof. ordinario di Fisica Matematica". http://www.mat.unimi.it/users/antonio/. 
  2. ↑ 2.0 2.1 "Curriculum accademico di Antonio Giorgilli". http://www.mat.unimi.it/users/antonio/curriculum.htm. 
  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. https://www.elibm.org/ft/10011572000. 

External links



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