Geometry and Topology in Hamiltonian Dynamics and by Marco Pettini

By Marco Pettini

This publication covers a brand new clarification of the beginning of Hamiltonian chaos and its quantitative characterization. the writer makes a speciality of major parts: Riemannian formula of Hamiltonian dynamics, delivering an unique point of view in regards to the dating among geodesic instability and curvature houses of the mechanical manifolds; and a topological idea of thermodynamic section transitions, referring to topology adjustments of microscopic configuration area with the new release of singularities of thermodynamic observables. The e-book comprises a variety of illustrations all through and it'll curiosity either mathematicians and physicists.

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