By Marco Pettini
This booklet covers a brand new clarification of the foundation of Hamiltonian chaos and its quantitative characterization. the writer makes a speciality of major components: Riemannian formula of Hamiltonian dynamics, supplying an unique point of view concerning the courting among geodesic instability and curvature houses of the mechanical manifolds; and a topological conception of thermodynamic part transitions, bearing on topology adjustments of microscopic configuration house with the iteration of singularities of thermodynamic observables. The booklet comprises a variety of illustrations all through and it'll curiosity either mathematicians and physicists.
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Extra info for Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics: 33 (Interdisciplinary Applied Mathematics)
Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics: 33 (Interdisciplinary Applied Mathematics) by Marco Pettini