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Mathematics

D-Index
58
Citations
13415
World Ranking
633
National Ranking
14

Research.com Recognitions

  • 2008 - Member of Academia Europaea

Overview

Giovanni Gallavotti is a researcher affiliated with Sapienza University of Rome in Italy. Their work spans several areas within physics, engineering, and mathematics, with a strong focus on statistical and nonlinear physics. The primary fields of study represented in their publications include Physics and Astronomy, Engineering, and Mathematics.

Their research covers specific subfields such as:

  • Statistical and Nonlinear Physics
  • Biomedical Engineering
  • Mathematical Physics
  • Economics and Econometrics
  • Computational Mechanics

Main topics addressed in their work include:

  • Advanced Thermodynamics and Statistical Mechanics
  • Phase Equilibria and Thermodynamics
  • Statistical Mechanics and Entropy
  • Mathematical Dynamics and Fractals
  • Nonlinear Dynamics and Pattern Formation
  • Economic theories and models
  • Fluid Dynamics and Turbulent Flows

Gallavotti has published notable recent papers such as:

  • "Ensembles, turbulence and fluctuation theorem," 2020, The European Physical Journal E
  • "Nonequilibrium ensembles for the three-dimensional Navier-Stokes equations," 2022, Physical Review E
  • "A Theorem on Ellipses, an Integrable System and a Theorem of Boltzmann," 2020, arXiv (Cornell University)
  • "Reversibility, irreversibility, friction and nonequilibrium ensembles in N-S equations," 2023, Bollettino dell Unione Matematica Italiana
  • "Reversibility, Irreversibility, Friction and nonequilibrium ensembles in N-S equations," 2022, arXiv (Cornell University)

Frequent co-authors collaborating with Gallavotti include:

  • Georgios Margazoglou
  • Luca Biferale
  • Massimo Cencini
  • Valerio Lucarini
  • Giovanni Battimelli

Their work appears repeatedly in publication venues such as:

  • arXiv (Cornell University)
  • Journal of Statistical Physics
  • The European Physical Journal E
  • Physical Review E
  • Bollettino dell Unione Matematica Italiana

Gallavotti has contributed to academic books published by reputable presses. These include:

  • "Nonequilibrium and Irreversibility," forthcoming 2025, Springer Science+Business Media
  • "Renormalization Group," 2020, Princeton University Press

In recognition of their scientific contributions, Gallavotti was named a Member of Academia Europaea in 2008.

Best Publications

  • Dynamical Ensembles in Nonequilibrium Statistical Mechanics.

    G. Gallavotti;E. G. D. Cohen

  • DYNAMICAL ENSEMBLES IN STATIONARY STATES

    G. Gallavotti;E. G. D. Cohen

  • Statistical Mechanics: A Short Treatise

    Giovanni Gallavotti

  • The Fermi-Pasta-Ulam problem : a status report

    Giovanni Gallavotti

  • Extension of Onsager's Reciprocity to Large Fields and the Chaotic Hypothesis.

    Giovanni Gallavotti

  • The elements of mechanics

    Giovanni Gallavotti

  • Drift and diffusion in phase space

    Luigi Chierchia;G. Gallavotti

  • Foundations of Fluid Dynamics

    Giovanni Gallavotti

  • Renormalization theory and ultraviolet stability for scalar fields via renormalization group methods

    Giovanni Gallavotti

  • Perturbation theory of the Fermi surface in a quantum liquid. A general quasiparticle formalism and one-dimensional systems

    G. Benfatto;G. Gallavotti

  • The phase separation line in the two-dimensional Ising model

    Giovanni Gallavotti

  • Billiards and Bernoulli schemes

    Giovanni Gallavotti;Donald S. Ornstein

  • The Fermi-Pasta-Ulam Problem

    Giovanni Gallavotti

  • Stability of Motions near Resonances in Quasi-Integrable Hamiltonian Systems

    Giancarlo Benettin;Giovanni Gallavotti

  • Chaotic hypothesis: Onsager reciprocity and fluctuation-dissipation theorem

    Giovanni Gallavotti

  • Twistless KAM tori

    Giovanni Gallavotti

  • TWISTLESS KAM TORI, QUASI FLAT HOMOCLINIC INTERSECTIONS, AND OTHER CANCELLATIONS IN THE PERTURBATION SERIES OF CERTAIN COMPLETELY INTEGRABLE HAMILTONIAN SYSTEMS: A REVIEW

    Giovanni Gallavotti

  • Renormalization-group approach to the theory of the Fermi surface

    G. Benfatto;G. Gallavotti

  • Phase Transitions in Binary Lattice Gases

    J. L. Lebowitz;G. Gallavotti

  • Chaotic principle: an experimental test

    F. Bonetto;G. Gallavotti;P. L. Garrido

  • Nonequilibrium thermodynamics

    Giovanni Gallavotti

Frequent Co-Authors

Joel L. Lebowitz
Joel L. Lebowitz Rutgers, The State University of New Jersey
David Ruelle
David Ruelle Institut des Hautes Études Scientifiques
Giancarlo Benettin
Giancarlo Benettin University of Padua
Jean-Pierre Eckmann
Jean-Pierre Eckmann University of Geneva
Herbert Spohn
Herbert Spohn Technical University of Munich
Michael Ghil
Michael Ghil École Normale Supérieure
Ivan Corwin
Ivan Corwin Columbia University
Stanley Osher
Stanley Osher University of California, Los Angeles
Giorgio Parisi
Giorgio Parisi Sapienza University of Rome

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