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math.PR2022★ 2 cited
Structural properties of Gibbsian point processes in abstract spaces
Steffen Betsch
In the language of random counting measures many structural properties of the Poisson process can be studied in arbitrary measurable spaces. We provide a similarly general treatise…
math.PR2021★ 8 cited
On the uniqueness of Gibbs distributions with a non-negative and subcritical pair potential
Steffen Betsch, Günter Last
We prove that the distribution of a Gibbs process with non-negative pair potential is uniquely determined as soon as an associated Poisson-driven random connection model (RCM) does…