By Marco Pettini
This ebook covers a brand new clarification of the beginning of Hamiltonian chaos and its quantitative characterization. the writer specializes in major components: Riemannian formula of Hamiltonian dynamics, supplying an unique perspective concerning the courting among geodesic instability and curvature homes of the mechanical manifolds; and a topological idea of thermodynamic part transitions, concerning topology adjustments of microscopic configuration house with the iteration of singularities of thermodynamic observables. The publication comprises a number of illustrations all through and it'll curiosity either mathematicians and physicists.
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