2 citations · 2 across the 2 of their papers we have counts for
6 papers
Non-standard limits for a family of autoregressive stochastic sequences
Sergey Foss, Matthias Schulte
We consider a family of multivariate autoregressive stochastic sequences that restart when hit a neighbourhood of the origin, and study their distributional limits when the autoreg…
Limit theorems for the maximal path weight in a directed graph on the line with random weights of edges
S. Foss, T. Konstantopoulos, A. Logachev +1
We consider the infinite directed graph with vertices the set of integers ...,-2,-1,0,1,2,... . Let v be a random variable taking either finite values or value "minus infinity". Co…
Many greedy cleaners in a Poisson environment
Sergey Foss, Thomas Mountford
We introduce a new ``greedy cleaning'' model where a star-like state space (containing N half-lines connected by the origin) is covered by a homogeneous Poisson process of ``dust p…
Limiting properties of random graph models with vertex and edge weights
Sergey Foss, Takis Konstantopoulos
This paper provides an overview of results, concerning longest or heaviest paths, in the area of random directed graphs on the integers along with some extensions. We study first-o…
Tails in a fixed-point problem for a branching process with state-independent immigration
Sergey Foss, Masakiyo Miyazawa
We consider a fixed-point equation for a non-negative integer-valued random variable, that appears in branching processes with state-independent immigration. A similar equation app…
Some Open Problems Related to Stability
Sergey Foss
The paper contains a discussion on a number of open problems in queueing theory. Some of them are known for decades, some are more recent. They relate to stability and to rare even…