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4 papers · 2 filters
New approaches of source-sink metapopulations decoupling the roles of demography and dispersal
Vincent Bansaye, Amaury Lambert
Source-sink systems are metapopulations of habitat patches with different, and possibly temporally varying, habitat qualities, which are commonly used in ecology to study the fate…
Fractional smoothness of functionals of diffusion processes under a change of measure
Stefan Geiss, Emmanuel Gobet
Let be the solution of the parabolic backward equation $ \partial_t v + (1/2) \sum_{i,l} [σσ^\perp]_{il} \partial_{x_i \partial_{x_l} v + \sum_{i} b_i \…
Optimal Stopping under Nonlinear Expectation
Ibrahim Ekren, Nizar Touzi, Jianfeng Zhang
Let be a bounded càdlàg process with positive jumps defined on the canonical space of continuous paths. We consider the problem of optimal stopping the process under a nonl…
Birth and death processes with neutral mutations
Nicolas Champagnat, Amaury Lambert, Mathieu Richard
In this paper, we review recent results of ours concerning branching processes with general lifetimes and neutral mutations, under the infinitely many alleles model, where mutation…