Geometric approach to Hamiltonian dynamics and statistical mechanics

@article{Casetti2000GeometricAT,
  title={Geometric approach to Hamiltonian dynamics and statistical mechanics},
  author={Lapo Casetti and Marco Pettini and E. G. D. Cohen Infm and Dipartimento di Fisica and P. D. Torino and Italy. and Osservatorio Astrofisico di Arcetri and Firenze and The Rockefeller University and New York and Usa},
  journal={Physics Reports},
  year={2000},
  volume={337},
  pages={237-341}
}
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. We develop a geometric theory of phase transitions (PTs) for Hamiltonian systems in the microcanonical ensemble. This theory allows to reformulate Bachmann’s classification of PTs for finite-size
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