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List of works by Marco Pettini

Analytic computation of the strong stochasticity threshold in Hamiltonian dynamics using Riemannian geometry.

scientific article published in December 1993

Chaotic behavior in nonlinear Hamiltonian systems and equilibrium statistical mechanics

Chaotic diffusion across a magnetic field in a model of electrostatic turbulent plasma

scientific article published on 01 July 1988

Coherent Riemannian-geometric description of Hamiltonian order and chaos with Jacobi metric

scientific article published on 01 December 2019

Control of Hamiltonian chaos as a possible tool to control anomalous transport in fusion plasmas

scientific article published on 18 May 2004

Detection of long-range electrostatic interactions between charged molecules by means of fluorescence correlation spectroscopy

scientific article

Dynamics of Oscillator Chains

article

Equipartition threshold in nonlinear large Hamiltonian systems: The Fermi-Pasta-Ulam model

scientific article published on 01 February 1985

Exact result on topology and phase transitions at any finite N

scientific article published on 12 February 2002

Experimental assessment of the contribution of electrodynamic interactions to long-distance recruitment of biomolecular partners: Theoretical basis

scientific article published on 06 April 2012

Experimental detection of long-distance interactions between biomolecules through their diffusion behavior: numerical study.

scientific article published on 6 August 2014

Experimental evidence of suppression of chaos by resonant parametric perturbations

scientific article published on 01 June 1991

Further results on the equipartition threshold in large nonlinear Hamiltonian systems

scientific article published on 01 April 1985

Gaussian model for chaotic instability of Hamiltonian flows

scientific article published on 01 January 1995

Geometric description of chaos in self-gravitating systems

scientific article published on 01 January 1995

Geometric description of chaos in two-degrees-of-freedom Hamiltonian systems

scientific article published on 01 January 1996

Geometrical hints for a nonperturbative approach to Hamiltonian dynamics

scientific article published on 01 February 1993

Hamiltonian dynamics and geometry of phase transitions in classical XY models

scientific article published in May 2000

Hamiltonian dynamics of homopolymer chain models

scientific article published on 06 October 2006

On the Riemannian description of chaotic instability in Hamiltonian dynamics.

scientific article published in December 1995

Persistent homology analysis of phase transitions

scientific article published on 20 May 2016

Phase space geometry and stochasticity thresholds in hamiltonian dynamics

scientific article published on 01 November 2000

Possible role of electrodynamic interactions in long-distance biomolecular recognition

scientific article published on 22 May 2015

Random walk of passive tracers among randomly moving obstacles.

scientific article published on 14 April 2016

Relaxation properties and ergodicity breaking in nonlinear Hamiltonian dynamics

scientific article published on 01 January 1990

Relaxation to different stationary states in the Fermi-Pasta-Ulam model

article by Roberto Livi et al published 1 December 1983 in Physical Review A

Reply to "Comment on 'Suppression of chaos by resonant parametric perturbations' "

scientific article published on 01 June 1993

Riemannian geometry of Hamiltonian chaos: hints for a general theory

scientific article published on 13 October 2008

Riemannian theory of Hamiltonian chaos and Lyapunov exponents

scientific article published on 01 December 1996

Riemannian-geometric entropy for measuring network complexity.

scientific article published on 27 June 2016

Strong stochasticity threshold in nonlinear large Hamiltonian systems: Effect on mixing times

scientific article published on 01 July 1991

Suppression of chaos by resonant parametric perturbations

scientific article published on 01 January 1990

Theorem on the origin of phase transitions

scientific article published on 10 February 2004

Topological aspects of geometrical signatures of phase transitions

scientific article published on 01 November 1999

Topology and phase transitions: from an exactly solvable model to a relation between topology and thermodynamics

scientific article published on 30 March 2005

Topology and phase transitions: paradigmatic evidence

scientific article published in March 2000

Topology driven modeling: the IS metaphor.

scientific article published on January 2015

Weak and strong chaos in Fermi-Pasta-Ulam models and beyond.

scientific article