• Title of talk
• Second title of talk

• Particle dynamics
• Geometric Setup for Vlasov
• From Newtoneq. to Vlasov
• An existence theorem
• Hamilton-Jacobi
• Newton-Poisson potentials
• Vlasov in Stellar Dynamics
• Vlasov in vortex dynamics
• A new existence theorem
• The idea of the proof
• Toda in Vlasov limit
• Ingegrals of motion
• Equilibrium solutions
• Kinetic equations
• Restricted n-particle systems
• Some Vlasov equations are PDE's
• Motion of Gradients
• Definition of Lyapunov exponent
• Critical sets
• Spectrum at critical points
• An exponential potential
• Calogero-Sutherland-Moser
• Consequences of positive Lyapunov exponents
• Almost periodic flulids

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