28 citations · 84 across the 33 of their papers we have counts for
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math.PR2018★ 6 cited
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…
math.PR2018
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…
math.PR2018
Limit theorems and structural properties of the Cat-and-Mouse Markov chain
Timofei Prasolov, Sergey Foss, Seva Shneer
We revisit the so-called Cat-and-Mouse Markov chain, studied earlier by Litvak and Robert (2012). This is a 2-dimensional Markov chain on the lattice , where the firs…