Tempering chains achieve polynomial spectral gap lower bounds of order 11-12 for multimodal Gibbs measures without explicit energy landscape structure.
Perko.Differential Equations and Dynamical Systems, volume 7 ofTexts in Applied Mathematics
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Applies gentlest ascent dynamics and stable manifold methods to compute domain of attraction boundaries for stable equilibria in synchronous-generator power system models.
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Rapid convergence of tempering chains to multimodal Gibbs measures
Tempering chains achieve polynomial spectral gap lower bounds of order 11-12 for multimodal Gibbs measures without explicit energy landscape structure.
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Calculating Domain of Attraction Boundary of Power Systems Based on the Gentlest Ascent Dynamics
Applies gentlest ascent dynamics and stable manifold methods to compute domain of attraction boundaries for stable equilibria in synchronous-generator power system models.