TY  - BOOK
AU  - Pettini, Marco
TI  - Geometry and topology in Hamiltonian dynamics and statistical mechanics
SN  - 9780387308920
U1  - 516 
PY  - 2007///
CY  - New York
PB  - Springer
KW  - Statistical mechanics
KW  - Hamiltonian systems
KW  - Mathematics
N1  - Background in physics --
Geometrization of Hamiltonian dynamics --
Integrability --
Geometry and chaos --
Geometry of chaos and phase transitions --
Topological hypothesis on the origin of phase transitions --
Geometry, topology and thermodynamics --
Phase transitions and topology: necessity theorems --
Phase transitions and topology : exact results --
Future developments --
Appendix A : Elements of geometry and topology of differentiable manifolds --
Appendix B : Elements of Riemannian geometry --
Appendix C : Summary of elementary Morse theory
ER  -