Partial resetting makes any strictly α-stable Lévy process ergodic with an explicit stationary density, and for Brownian motion the relaxation to that density changes type across |y|=2t.
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Stationary states for stable processes with partial resetting
Partial resetting makes any strictly α-stable Lévy process ergodic with an explicit stationary density, and for Brownian motion the relaxation to that density changes type across |y|=2t.