Under E[M_-^{(d+δ)/2}]<∞, the Laguerre tessellation generated by a stationary marked point process is a.s. well-defined and preserves the generator's ergodicity, mixing, and alpha-mixing.
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Mixing Properties of Random Laguerre Tessellations
Under E[M_-^{(d+δ)/2}]<∞, the Laguerre tessellation generated by a stationary marked point process is a.s. well-defined and preserves the generator's ergodicity, mixing, and alpha-mixing.