Spectral gap for measure-valued diffusion processes

被引：5

作者：

Ren, Panpan ^{[2
,3
]}

Wang, Feng-Yu ^{[1
,2
]}

机构：

[1] Tianjin Univ, Ctr Appl Math, Tianjin 300072, Peoples R China

[2] Swansea Univ, Dept Math, Singleton Pk, Swansea SA2 8PP, W Glam, Wales

[3] Univ Oxford, Math Inst, Woodstock Rd, Oxford OX2 6GG, England

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2020年 / 483卷 / 02期

关键词：

Extrinsic derivative; Weighted Gamma distribution; Poincare inequality; Weak Poincare inequality; Super Poincare inequality; MULTINOMIAL DISTRIBUTION; INEQUALITY; GEOMETRY; CONE;

D O I：

10.1016/j.jmaa.2019.123624

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The spectral gap is estimated for some measure-valued processes, which are induced by the intrinsic/extrinsic derivatives on the space of finite measures over a Riemannian manifold. These processes are symmetric with respect to the Dirichlet and Gamma distributions arising from population genetics. In addition to the evolution of allelic frequencies investigated in the literature, they also describe stochastic movements of individuals. (C) 2019 Elsevier Inc. All rights reserved.

引用

页数：16

共 39 条

[1] MEASURE-VALUED SPLINE CURVES: AN OPTIMAL TRANSPORT VIEWPOINT
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Conforti, Giovanni
Georgiou, Tryphon T.
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[2] A new probability measure-valued stochastic process with Ferguson-Dirichlet process as reversible measure
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ELECTRONIC JOURNAL OF PROBABILITY, 2011, 16 : 271 - 292
[3] Spectral gap of replica exchange Langevin diffusion on mixture distributions
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[4] ENTROPIC MEASURE AND WASSERSTEIN DIFFUSION
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[5] Estimate of spectral gap for continuous gas
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ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2004, 40 (04): : 387 - 409
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[7] Spectral gap of the discrete Laplacian on triangulations
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[8] Nash inequality for diffusion processes associated with Dirichlet distributions
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FRONTIERS OF MATHEMATICS IN CHINA, 2019, 14 (06) : 1317 - 1338
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[10] Sharp spectral gaps on metric measure spaces
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CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2016, 55 (01) : 1 - 14

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