Antonio Giorgilli

6.9k total citations · 2 hit papers
92 papers, 4.5k citations indexed

About

Antonio Giorgilli is a scholar working on Statistical and Nonlinear Physics, Numerical Analysis and Mathematical Physics. According to data from OpenAlex, Antonio Giorgilli has authored 92 papers receiving a total of 4.5k indexed citations (citations by other indexed papers that have themselves been cited), including 82 papers in Statistical and Nonlinear Physics, 17 papers in Numerical Analysis and 17 papers in Mathematical Physics. Recurrent topics in Antonio Giorgilli's work include Quantum chaos and dynamical systems (75 papers), Numerical methods for differential equations (16 papers) and Mathematical Dynamics and Fractals (15 papers). Antonio Giorgilli is often cited by papers focused on Quantum chaos and dynamical systems (75 papers), Numerical methods for differential equations (16 papers) and Mathematical Dynamics and Fractals (15 papers). Antonio Giorgilli collaborates with scholars based in Italy, France and Belgium. Antonio Giorgilli's co-authors include L. Galgani, Giancarlo Benettin, Jean-Marie Strelcyn, Alessandro Morbidelli, Ugo Locatelli, G. Contopoulos, Alessandra Celletti, Amadeu Delshams, Ernest Fontich and Carles Simó and has published in prestigious journals such as Nature, Computer Physics Communications and Communications in Mathematical Physics.

In The Last Decade

Antonio Giorgilli

89 papers receiving 4.2k citations

Hit Papers

Lyapunov Characteristic Exponents for smooth dynamical sy... 1980 2026 1995 2010 1980 1980 400 800 1.2k
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Lyapunov Characteristic Exponents for smooth dynamical systems and for hamiltonian systems; a method for computing all of them. Part 1: Theory
    1980 1.4k citations Giancarlo Benettin, L. Galgani et al. Meccanica profile →
  2. Lyapunov Characteristic Exponents for smooth dynamical systems and for hamiltonian systems; A method for computing all of them. Part 2: Numerical application
    1980 728 citations Giancarlo Benettin, L. Galgani et al. Meccanica profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Antonio Giorgilli Italy 29 3.4k 1.2k 679 651 469 92 4.5k
Giancarlo Benettin Italy 27 4.0k 1.2× 1.6k 1.3× 501 0.7× 930 1.4× 543 1.2× 76 5.1k
L. Galgani Italy 27 3.8k 1.1× 1.5k 1.3× 506 0.7× 921 1.4× 460 1.0× 96 4.9k
G. M. Zaslavsky United States 36 3.3k 1.0× 917 0.8× 440 0.6× 1.1k 1.7× 523 1.1× 113 5.4k
M. Hénon France 27 3.8k 1.1× 1.2k 1.0× 1.2k 1.8× 567 0.9× 951 2.0× 51 6.0k
Jean-Marie Strelcyn France 17 3.1k 0.9× 1.3k 1.1× 348 0.5× 473 0.7× 615 1.3× 30 4.0k
James D. Meiss United States 36 3.3k 0.9× 650 0.6× 802 1.2× 820 1.3× 963 2.1× 134 4.7k
George M. Zaslavsky United States 28 2.5k 0.7× 586 0.5× 159 0.2× 792 1.2× 454 1.0× 58 4.7k
V. I. Arnold Russia 2 2.8k 0.8× 406 0.3× 854 1.3× 1000 1.5× 832 1.8× 3 5.6k
Tassos Bountis Greece 28 2.5k 0.7× 895 0.8× 222 0.3× 614 0.9× 242 0.5× 153 3.3k
E. A. Spiegel United States 42 1.5k 0.4× 1.3k 1.1× 1.9k 2.8× 352 0.5× 232 0.5× 151 5.9k

Countries citing papers authored by Antonio Giorgilli

Since Specialization
Citations

This map shows the geographic impact of Antonio Giorgilli's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Antonio Giorgilli with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Antonio Giorgilli more than expected).

Fields of papers citing papers by Antonio Giorgilli

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Antonio Giorgilli. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Antonio Giorgilli. The network helps show where Antonio Giorgilli may publish in the future.

Co-authorship network of co-authors of Antonio Giorgilli

This figure shows the co-authorship network connecting the top 25 collaborators of Antonio Giorgilli. A scholar is included among the top collaborators of Antonio Giorgilli based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Antonio Giorgilli. Antonio Giorgilli is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Giorgilli, Antonio, et al.. (2015). High-order control for symplectic maps. Physica D Nonlinear Phenomena. 316. 1–15. 1 indexed citations
2.
Giorgilli, Antonio, et al.. (2012). Extensive Adiabatic Invariants for Nonlinear Chains. Journal of Statistical Physics. 148(6). 1106–1134. 6 indexed citations
3.
Carati, A., et al.. (2012). A Series Expansion for the Time Autocorrelation of Dynamical Variables. Journal of Statistical Physics. 148(6). 1054–1071. 2 indexed citations
4.
Giorgilli, Antonio. (2012). ON A THEOREM OF LYAPOUNOV. 5 indexed citations
5.
Giorgilli, Antonio. (2012). ON THE REPRESENTATION OF MAPS BY LIE TRASFORMS. 4 indexed citations
6.
Carati, A., et al.. (2007). Fermi-Pasta-Ulam phenomenon for generic initial data. Physical Review E. 76(2). 22104–22104. 20 indexed citations
7.
Giorgilli, Antonio. (2003). Notes on exponential stability of Hamiltonian systems. 87–198. 30 indexed citations
8.
Celletti, Alessandra, Antonio Giorgilli, & Ugo Locatelli. (2000). Improved estimates on the existence of invariant tori for Hamiltonian systems. Nonlinearity. 13(2). 397–412. 23 indexed citations
9.
Giorgilli, Antonio & Alessandro Morbidelli. (1997). Invariant KAM tori and global stability for Hamiltonian systems. Zeitschrift für angewandte Mathematik und Physik. 48(1). 102–134. 12 indexed citations
10.
Bambusi, Dario & Antonio Giorgilli. (1993). Exponential stability of states close to resonance in infinite-dimensional Hamiltonian systems. Journal of Statistical Physics. 71(3-4). 569–606. 46 indexed citations
11.
Galgani, L., et al.. (1989). Classical electrodynamics as a nonlinear dynamical system. Physics Letters A. 139(5-6). 221–230. 12 indexed citations
12.
Giorgilli, Antonio. (1988). Rigorous results on the power expansions for the integrals of a Hamiltonian system near an elliptic equilibrium point. French digital mathematics library (Numdam). 48(4). 423–439. 30 indexed citations
13.
Benettin, Giancarlo, L. Galgani, & Antonio Giorgilli. (1985). Poincaré's non-existence theorem and classical perturbation theory for nearly integrable hamiltonian systems. 1. 1 indexed citations
14.
Benettin, Giancarlo, L. Galgani, & Antonio Giorgilli. (1984). Boltzmann's ultraviolet cutoff and Nekhoroshev's theorem on Arnold diffusion. Nature. 311(5985). 444–446. 30 indexed citations
15.
Benettin, Giancarlo, L. Galgani, Antonio Giorgilli, & Jean-Marie Strelcyn. (1984). A proof of Kolmogorov’s theorem on invariant tori using canonical transformations defined by the Lie method. ˜Il œNuovo cimento della Società italiana di fisica. B/˜Il œNuovo cimento B. 79(2). 201–223. 71 indexed citations
16.
Benettin, Giancarlo, G. Ferrari, L. Galgani, & Antonio Giorgilli. (1982). An extension of the Poincaré-Fermi theorem on the nonexistence of invariant manifolds in nearly integrable Hamiltonian systems. ˜Il œNuovo cimento della Società italiana di fisica. B/˜Il œNuovo cimento B. 72(2). 137–148. 10 indexed citations
17.
Benettin, Giancarlo, L. Galgani, Antonio Giorgilli, & Jean-Marie Strelcyn. (1980). Lyapunov Characteristic Exponents for smooth dynamical systems and for hamiltonian systems; A method for computing all of them. Part 2: Numerical application. Meccanica. 15(1). 21–30. 728 indexed citations breakdown →
18.
Benettin, Giancarlo, C. Cercignani, L. Galgani, & Antonio Giorgilli. (1980). Universal properties in conservative dynamical systems. Lettere al nuovo cimento della societa italiana di fisica/Lettere al nuovo cimento. 28(1). 1–4. 52 indexed citations
19.
Benettin, Giancarlo, L. Galgani, Antonio Giorgilli, & Jean-Marie Strelcyn. (1978). All Lyapunov characteristic numbers are effectively computable.. 286. 431–433. 8 indexed citations
20.
Benettin, Giancarlo, Mario Casartelli, L. Galgani, Antonio Giorgilli, & Jean-Marie Strelcyn. (1978). On the reliability of numerical studies of stochasticity I: Existence of time averages. ˜Il œNuovo cimento della Società italiana di fisica. B/˜Il œNuovo cimento B. 44(1). 183–195. 54 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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