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Functional inequalities for the two-parameter extension of the infinitely-many-neutral-alleles diffusion |
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| Authors: | Shui Feng Feng-Yu Wang Fang Xu |
| Affiliation: | a School of Math. Sci. & Lab. Math. Com. Sys., Beijing Normal University, Beijing 100875, China b Department of Mathematics and Statistics, McMaster University, Hamilton, L8S 4K1, Canada c Department of Mathematics and Statistics, Concordia University, Montreal, H3G 1M8, Canada d Department of Mathematics, Swansea University, Singleton Park, SA2 8PP, UK |
| Abstract: | By explicitly identifying the transition density function, we derived the super-Poincaré and super-log-Sobolev inequalities for the two-parameter extension of the infinitely-many-neutral-alleles diffusion, which in particular implies the Gross log-Sobolev inequality. |
| Keywords: | Poisson-Dirichlet distribution Two-parameter Poisson-Dirichlet distribution Infinitely-many-neutral-alleles diffusion Transition function Log-Sobolev inequality |
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