Large deviation for the Fleming-Viot process with neutral mutation and selection

DOI10.1016/S0304-4149(98)00035-0zbMath0934.60024arXivmath/9809203MaRDI QIDQ1807264

Shui Feng, Donald A. Dawson

Publication date: 18 November 1999

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9809203

zbMATH Keywords

relative entropyFleming-Viot processlarge deviations

Mathematics Subject Classification ID

Large deviations (60F10) Genetics and epigenetics (92D10)

Related Items

The large deviations of a multi-allele Wright-Fisher process mapped on the sphere. ⋮ Large deviations for the Fleming-Viot process with neutral mutation and selection. II. ⋮ Central limit theorem for a class of SPDEs ⋮ A generalized model of mutation-selection balance with applications to aging ⋮ Fluctuations and moderate deviations for a catalytic Fleming-Viot branching system in nonequilibrium ⋮ Small-time sampling behavior of a Fleming-Viot process ⋮ Super-Brownian motion as the unique strong solution to an SPDE ⋮ Large deviations under a viewpoint of metric geometry: measure-valued process cases ⋮ Sample paths of jump-type Fleming-Viot processes with bounded mutation operators ⋮ SMALL TIME ASYMPTOTICS FOR FLEMING–VIOT PROCESSES ⋮ Large deviations associated with Poisson-Dirichlet distribution and Ewens sampling formula ⋮ Large deviation principle for some measure-valued processes ⋮ Quasi-invariant measures and their characterization by conditional probabilities ⋮ Asymptotic behavior of the Poisson-Dirichlet distribution for large mutation rate ⋮ Moderate deviation principle for a class of stochastic partial differential equations ⋮ Asymptotic Bahavior of the Moran Particle System

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Diffusion processes in population genetics
• A stochastic equation based on a Poisson system for a class of measure- valued diffusion processes
• Convergence to Fleming-Viot processes in the weak atomic topology
• Asymptotic evaluation of certain markov process expectations for large time, I
• Geostochastic calculus
• Fleming–Viot Processes in Population Genetics
• Large deviations from the mckean-vlasov limit for weakly interacting diffusions