2 papers
math.PR2026
Applications of the perturbation formula for Poisson processes to elementary and geometric probability
Guenter Last, Sergei Zuyev
The binomial, the negative binomial, the Poisson, the compound Poisson and the Erlang distribution do all admit integral representations with respect to its (continuous) parameter.…
math.PR2024
On the capacity functional of the infinite cluster of a Boolean model
Günter Last, Mathew D. Penrose, Sergei Zuyev
The original 2017 version of this paper, published in Ann. Appl. Probab., 27, 1678--1801, contains a major gap in the proofs. In the subsequent publication in Ann. Appl. Probab., 3…