Establishes exponential convergence rates for the total mass of branching-diffusion processes and characterizes their quasi-stationary distributions via a novel spectral transformation and heat kernel estimates.
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Establishes compactness and long-time convergence for killed Feynman-Kac semigroups with singular Schrödinger potentials on a broad class of Feller processes from statistical physics.
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Long-Time Behaviors of Branching-Diffusion Processes via Spectral Analysis
Establishes exponential convergence rates for the total mass of branching-diffusion processes and characterizes their quasi-stationary distributions via a novel spectral transformation and heat kernel estimates.
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Long time behavior of killed Feynman-Kac semigroups with singular Schr{\"o}dinger potentials
Establishes compactness and long-time convergence for killed Feynman-Kac semigroups with singular Schrödinger potentials on a broad class of Feller processes from statistical physics.