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ANTONIO PONNO

Personal Data:

Name and Surname: ANTONIO PONNO

Place and Date of Birth: Rome (Italy), February 3, 1972

Position: Associate Professor (since November 1, 2014)

Research Field: MATHEMATICAL PHYSICS

Topics: Classical and Quantum Hamiltonian Systems

Address:
Università degli Studi di Padova
Dipartimento di Matematica "T. Levi-Civita" (Torre Archimede)
Via Trieste 63, 35121 Padova (Italy)

Email: ponno /at/ math.unipd.it





TEACHING/DIDATTICA

PUBLICATIONS:

  1. M. Gallone, M. Marian, A. Ponno, S. Ruffo
    Burgers turbulence in the Fermi-Pasta-Ulam-Tsingou chain
    Phys. Rev. Lett. 129 (2022), 114101
    Preprint version on arXiv
    Press release on Le Scienze.it (in Italian)

  2. M. Gallone, A. Ponno
    Hamiltonian field theory close to the wave equation:
    from Fermi-Pasta-Ulam to water waves
    To appear on "Qualitative Properties of Dispersive PDEs"
    (Springer INdAM Series, vol. 52, 2022)

  3. G. Benettin, A. Ponno
    FPU model and Toda model: a survey, a view
    To appear on "From Kinetic Theory to Turbulence Modeling"
    (Springer INdAM Series, vol. 51, 2022)

  4. E. Picari, A. Ponno, L. Zanelli
    Mean field derivation of DNLS from the Bose-Hubbard model
    Ann. Henri Poincaré 23 (2022), 1525-1553

  5. M. Gallone, A. Ponno, B. Rink
    Korteweg-de Vries and Fermi-Pasta-Ulam-Tsingou:
    asymptotic integrability of quasi unidirectional waves
    J. of Phys. A: Math Theor. 54 (2021), 305701/1-29

  6. G. Benettin, A. Ponno
    Understanding the FPU state in FPU-like models
    Mathematics in Engineering 3 (2021), 1-22

  7. D. Bambusi, A. Ponno
    Linear behavior in Covid19 epidemic as an effect of lockdown
    J. of Mathematics in Industry 10 (2020), article 27, 1-7

  8. T. Grava, A. Maspero, G. Mazzuca, A. Ponno
    Adiabatic invariants for the FPUT and Toda chain in the thermodynamic limit
    Comm. Math. Phys. 380 (2020), 811-851

  9. G. Benettin, S. Pasquali, A. Ponno
    The Fermi-Pasta-Ulam problem and its underlying integrable dynamics:
    an approach through Lyapunov Exponents
    J. Stat. Phys. 171 (2018), 521-542
    (equivalent preprint)

  10. A. Carati, A. Ponno
    Chopping Time of the FPU α-Model
    J. Stat. Phys. 170 (2018), 883-894
    (equivalent preprint)

  11. G. Benettin, H. Christodoulidi, A. Ponno
    The Fermi-Pasta-Ulam problem and its underlying integrable dynamics
    J. Stat. Phys. 152 (2013), 195-212
    (equivalent preprint)

  12. A. Ponno, H. Christodoulidi, Ch. Skokos, S. Flach
    The two stage dynamics in the Fermi-Pasta-Ulam problem:
    from regular to diffusive behavior
    Chaos 21 (2011), 043127/1-14
    (equivalent preprint)

  13. G. Benettin, A. Ponno
    Time-Scales to Equipartition in the Fermi-Pasta-Ulam Problem:
    Finite Size Effects and Thermodynamic Limit
    J. Stat. Phys. 144 (2011), 793-812

  14. G. Benettin, A. Ponno
    On the numerical integration of FPU-like systems
    Physica D 240 (2011), 568-573

  15. G. Benettin, R. Livi, A. Ponno
    The Fermi-Pasta-Ulam Problem: Scaling Laws vs. Initial Conditions
    J. Stat. Phys. 135 (2009), 873-893

  16. A. Ponno, F. Pegoraro, L. Galgani
    On the stability of spatially uniform Langmuir oscillations of electronic plasmas
    Comm. Nonlin. Science Num. Sim. 13 (2008), 158-162

  17. S. Flach, A. Ponno
    The Fermi-Pasta-Ulam problem:
    Periodic orbits, normal forms and resonance overlap criteria
    Physica D 237 (2008), 908-917

  18. D. Bambusi, A. Ponno
    Resonance, Metastability and Blow-up in FPU
    in "The Fermi-Pasta-Ulam problem", ed. by G. Gallavotti,
    Springer Lecture Notes in Physics 728, 2008, 191-205

  19. D. Bambusi, A. Ponno
    On Metastability in FPU
    Comm. Math. Phys. 264 (2006), 539-561

  20. A. Ponno
    A Theorem on the Equilibrium Thermodynamics of Hamiltonian Systems
    Physica A 359 (2006), 162-176

  21. A. Ponno, J. R. Ruggiero, E. Drigo, J. De Luca
    Energy localization in the Φ4 oscillator chain
    Phys. Rev. E 73 (2006), 056609/1-7

  22. A. Ponno, D. Bambusi
    Korteweg-de Vries equation and energy sharing in Fermi-Pasta-Ulam
    Chaos 15 (2005), 015107/1-5

  23. A. Ponno, D. Bambusi
    Energy cascade in Fermi-Pasta-Ulam models
    Proceedings of the International Conference on Symmetry and Perturbation Theory 2004,
    ed. by G. Gaeta et al., World Scientific Publishing, 2005, 263-270

  24. A. Ponno
    The Fermi-Pasta-Ulam problem in the thermodynamic limit:
    Scaling laws of the energy cascade
    Proceedings of the Cargése Summer School 2003 on Chaotic Dynamics and Transport in
    Classical and Quantum Systems, ed. by P. Collet et al., Kluwer Academic Publishers (2005), 431-440

  25. J. De Luca, E. Drigo, A. Ponno, J. R. Ruggiero
    Energy localization in the Peyrard-Bishop DNA model
    Phys. Rev. E 70 (2004), 026213/1-9

  26. A. Ponno
    Soliton theory and the Fermi-Pasta-Ulam problem in the thermodynamic limit
    Europhys. Lett. 64 (2003), 606-612

  27. D. Bambusi, A. Carati, A. Ponno
    The nonlinear Schroedinger equation as a resonant normal form
    DCDS-B 2 (2002), 109-128

  28. A. Ponno, L. Galgani, D. C. Montgomery
    A class of resistive axysimmetric magnetohydrodynamic equilibria
    in a periodic cylinder
    J. Plasma Phys. 67 (2002), 251-269

  29. A. Carati, L. Galgani, A. Ponno, A. Giorgilli
    The Fermi-Pasta-Ulam problem
    Il Nuovo Cimento B 117 (2002), 1017-1026

  30. P. Martin et al.
    New insights into MHD dynamics of magnetically confined plasmas from experiments in RFX
    Nuclear Fusion 42 (2002), 247-257

  31. V. Antoni et al.
    Transport mechanisms and enhanced confinement studies in RFX
    Nuclear Fusion 41 (2001), 431-436

  32. A. Ponno, L. Galgani, F. Guerra
    Analytical estimate of stochasticity thresholds in Fermi-Pasta-Ulam and φ4 models
    Phys. Rev. E 61 (2000), 7081-7086

(Pdf files of each paper are available on request to the author)

Education and Career: