12 citations · 18 across the 12 of their papers we have counts for
10 papers · 1 filter
Populations in environments with a soft carrying capacity are eventually extinct
Peter Jagers, Sergei Zuyev
Consider a population whose size changes stepwise by its members reproducing or dying (disappearing), but is otherwise quite general. Denote the initial (non-random) size by …
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.…
Functional central limit theorems for occupancies and missing mass process in infinite urn models
Mikhail Chebunin, Sergei Zuyev
We study the infinite urn scheme when the balls are sequentially distributed over an infinite number of urns labelled 1,2,... so that the urn at every draw gets a ball with pro…
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…
Branching-stable point processes
Giacomo Zanella, Sergei Zuyev
The notion of stability can be generalised to point processes by defining the scaling operation in a randomised way: scaling a configuration by corresponds to letting such a co…
Bit flipping and time to recover
Anton Muratov, Sergei Zuyev
We call `bits' a sequence of devices indexed by positive integers, where every device can be in two states: (idle) and (active). Start from the `ground state' of the system…