On the boundary classification of \(\Lambda\)-Wright-Fisher processes with frequency-dependent selection
DOI10.5802/ahl.170zbMath1521.60053arXiv2012.08578OpenAlexW4384693606MaRDI QIDQ6093072
Clément Foucart, Xiao-Wen Zhou
Publication date: 6 September 2023
Published in: Annales Henri Lebesgue (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.08578
dualityselectioncontinuous-time Markov chainsexplosionentrance boundary\(\Lambda\)-coalescentcoming down from infinityregular boundaryfragmentation-coalescence\( \Lambda\)-Wright-Fisher process
Population dynamics (general) (92D25) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) Coalescent processes (60J90)
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Cites Work
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- The common ancestor type distribution of a \(\Lambda\)-Wright-Fisher process with selection and mutation
- Stochastic equations, flows and measure-valued processes
- Strong solutions of jump-type stochastic equations
- Some mathematical models from population genetics. École d'Été de Probabilités de Saint-Flour XXXIX-2009
- A coalescent dual process in a Moran model with genic selection
- A phase transition in excursions from infinity of the ``fast fragmentation-coalescence process
- The impact of selection in the \(\Lambda\)-Wright-Fisher model
- A duality relation for entrance and exit laws for Markov processes
- Ancestral processes with selection
- Stochastic flows associated to coalescent processes
- Duality and fixation in \(\Xi\)-Wright-Fisher processes with frequency-dependent selection
- Exchangeable fragmentation-coalescence processes and their equilibrium measures
- Particle representations for measure-valued population models
- A necessary and sufficient condition for the \(\Lambda\)-coalescent to come down from the infinity
- Markov branching processes with disasters: extinction, survival and duality to \(p\)-jump processes
- A phase transition in the coming down from infinity of simple exchangeable fragmentation-coagulation processes
- On the explosion of the number of fragments in simple exchangeable fragmentation-coagulation processes
- The \(\Lambda\)-lookdown model with selection
- Second-order asymptotics for the block counting process in a class of regularly varying \({\Lambda}\)-coalescents
- Markov processes, semigroups and generators.
- Stochastic flows associated to coalescent processes. II: Stochastic differential equations
- Continuous-state branching processes with competition: duality and reflection at infinity
- The Λ-Fleming-Viot Process and a Connection with Wright-Fisher Diffusion
- A note on some results of Schuh
- Branching processes with interactions: subcritical cooperative regime
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