6533b7d3fe1ef96bd1260c6c
RESEARCH PRODUCT
Graphical representation of some duality relations in stochastic population models
Martin HutzenthalerRoland Alkempersubject
Statistics and ProbabilityDiscrete mathematicsDualityProcess (engineering)Feller's branching diffusionProbability (math.PR)Duality (optimization)Dual (category theory)Algebragraphical representationbranching-coalescing particle processstochastic population dynamicsPopulation model60K35resampling-selection modelMathematikFOS: MathematicsStatistics Probability and UncertaintyLogistic functionDiffusion (business)Representation (mathematics)Mathematics - ProbabilityMathematicsdescription
We derive a unified stochastic picture for the duality of a resampling-selection model with a branching-coalescing particle process (cf. http://www.ams.org/mathscinet-getitem?mr=MR2123250) and for the self-duality of Feller's branching diffusion with logistic growth (cf. math/0509612). The two dual processes are approximated by particle processes which are forward and backward processes in a graphical representation. We identify duality relations between the basic building blocks of the particle processes which lead to the two dualities mentioned above.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2007-06-26 |