The HK-Boltzmann gradient flow preserves Gaussianity, and the reduced equations for mean, covariance, and mass admit exponential convergence rates with explicit dependence on the geometry parameters.
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Evolution of Gaussians in the Hellinger-Kantorovich-Boltzmann gradient flow
The HK-Boltzmann gradient flow preserves Gaussianity, and the reduced equations for mean, covariance, and mass admit exponential convergence rates with explicit dependence on the geometry parameters.