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Two-sided immigration, emigration and symmetry properties of self-similar interval partition evolutions

Two-sided immigration, emigration and symmetry properties of self-similar interval partition evolutions

Forman et al. (2020+) constructed (α, θ)-interval partition evolutions for α ∈ (0, 1) and θ ≥ 0, in which the total sums of interval lengths ("total mass") evolve as squared Bessel processes of dimension 2θ, where θ ≥ 0 acts as an immigration parameter.These evolutions have pseudo-stationary distributions related …