The genealogy of an exactly solvable Ornstein-Uhlenbeck type branching process with selection

DOI10.1214/18-ECP197zbMath1406.60130arXiv1802.01132OpenAlexW3106186965MaRDI QIDQ1725490

Bastien Mallein, Aser Cortines

Publication date: 14 February 2019

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.01132

zbMATH Keywords

selectionPoisson point processbranching random walkbeta coalescent

Mathematics Subject Classification ID

Problems related to evolution (92D15) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (1)

A simple backward construction of branching Brownian motion with large displacement and applications

Cites Work

• Unnamed Item
• Velocity of the \(L\)-branching Brownian motion
• Branching Brownian motion seen from its tip
• The extremal process of branching Brownian motion
• \(U\)-statistics of Ornstein-Uhlenbeck branching particle system
• Branching random walk with selection at critical rate
• Brunet-Derrida particle systems, free boundary problems and Wiener-Hopf equations
• The genealogy of a solvable population model under selection with dynamics related to directed polymers
• On Ruelle's probability cascades and an abstract cavity method
• Coalescents with multiple collisions
• Finite-size corrections to the speed of a branching-selection process
• The genealogy of branching Brownian motion with absorption
• Brunet-Derrida behavior of branching-selection particle systems on the line
• Non local branching Brownian motions with annihilation and free boundary problems
• A branching-selection process related to censored Galton-Walton processes
• The limiting process of \(N\)-particle branching random walk with polynomial tails
• CLT for Ornstein-Uhlenbeck branching particle system
• Coalescent processes obtained from supercritical Galton-Watson processes.
• A $N$-branching random walk with random selection
• Recent progress in coalescent theory
• The general coalescent with asynchronous mergers of ancestral lines
• $N$-Branching Random Walk with $\alpha$-Stable Spine

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