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math-ph2023
Spectrum of the linearized Vlasov--Poisson equation around steady states from galactic dynamics
Matias Moreno, Paola Rioseco, Hanne Van Den Bosch
We study the linearized Vlasov-Poisson equation in the gravitational case around steady states that are decreasing and continuous functions of the energy. We identify the absolutel…
math-ph2022★ 4 cited
Mixing in an anharmonic potential well
Matías Moreno, Paola Rioseco, Hanne Van Den Bosch
We prove phase-space mixing for solutions to Liouville's equation for integrable systems. Under a natural non-harmonicity condition, we obtain weak convergence of the distribution…