Functional inequalities for the two-parameter extension of the infinitely-many-neutral-alleles diffusion

DOI10.1016/j.jfa.2010.10.005zbMath1217.60068OpenAlexW2043799750MaRDI QIDQ610763

Feng-Yu Wang, Fang Xu, Wei Sun, Shui Feng

Publication date: 10 December 2010

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2010.10.005

zbMATH Keywords

transition functiontwo-parameter Poisson-Dirichlet distributionPoisson-Dirichlet distributioninfinitely-many-neutral-alleles diffusionlog-Sobolev inequality, super-Poincaré inequality, super-log-Sobolev inequality

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Diffusion processes (60J60)

Related Items (9)

Transition density of an infinite-dimensional diffusion with the jack parameter ⋮ Small-time sampling behavior of a Fleming-Viot process ⋮ Transition functions of diffusion processes on the Thoma simplex ⋮ Species Dynamics in the Two-Parameter Poisson-Dirichlet Diffusion Model ⋮ Diffusion processes and the Ewens sampling formula ⋮ Harnack inequality and applications for infinite-dimensional GEM processes ⋮ Diffusions on a space of interval partitions: Poisson-Dirichlet stationary distributions ⋮ The sampling formula and Laplace transform associated with the two-parameter Poisson-Dirichlet distribution ⋮ Ranked masses in two-parameter Fleming–Viot diffusions

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