V. Vatutin

activity

20062026

most citedBranching processes in random environment which extinct at a given moment

15 citations · 15 across the 11 of their papers we have counts for

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Showing 2010Show all

2 papers · 1 filter

math.PR2010★ 15 cited

Branching processes in random environment which extinct at a given moment

C. Boeinghoff, E. E. Dyakonova, G. Kersting +1

Let $Z_{n}, n \geq 0$ be a critical branching process in random environment and let $T$ be its moment of extinction. Under the annealed approach we prove, as $n \to \infty,$ a lim…

math.PR2010

Coalescent approximation for structured populations in a stationary random environment

Serik Sagitov, Peter Jagers, Vladimir Vatutin

We establish convergence to the Kingman coalescent for the genealogy of a geographically - or otherwise - structured version of the Wright-Fisher population model with fast migrati…