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math.PR2007
Limit theorems for conditioned multitype Dawson-Watanabe processes and Feller diffusions
Nicolas Champagnat, Sylvie Roelly
A multitype Dawson-Watanabe process is conditioned, in subcritical and critical cases, on non-extinction in the remote future. On every finite time interval, its distribution is ab…
math.PR2007★ 3 cited
Adaptive dynamics in logistic branching populations
Nicolas Champagnat, Amaury Lambert
We consider a trait-structured population subject to mutation, birth and competition of logistic type, where the number of coexisting types may fluctuate. Applying a limit of rare…