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

[21] Diffusion processes and heat kernels on metric spaces
Sturm, KT
ANNALS OF PROBABILITY, 1998, 26 (01): : 1 - 55
[22] Higher integrability for vector-valued parabolic quasi-minimizers on metric measure spaces
Habermann, Jens
ARKIV FOR MATEMATIK, 2016, 54 (01): : 85 - 123
[23] Asymptotic and spectral properties of exponentially φ-ergodic Markov processes
Kulik, Alexey M.
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2011, 121 (05) : 1044 - 1075
[24] Expected work experience and the gender wage gap: A new human capital measure
Zveglich, Joseph E., Jr.
Rodgers, Yana van der Meulen
Lavina, Editha A.
ECONOMIC MODELLING, 2019, 83 : 372 - 383
[25] A class of infinite dimensional stochastic processes with unbounded diffusion
Karlsson, John
Lobus, Jorg-Uwe
STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES, 2015, 87 (03) : 424 - 457
[26] Spectral-Spatial Diffusion Geometry for Hyperspectral Image Clustering
Murphy, James M.
Maggioni, Mauro
IEEE GEOSCIENCE AND REMOTE SENSING LETTERS, 2020, 17 (07) : 1243 - 1247
[27] Spectral properties for a class of continuous state branching processes with immigration
Stannat, W
JOURNAL OF FUNCTIONAL ANALYSIS, 2003, 201 (01) : 185 - 227
[28] WEAK POINCARE INEQUALITIES FOR CONVERGENCE RATE OF DEGENERATE DIFFUSION PROCESSES
Grothaus, Martin
Wang, Feng-Yu
ANNALS OF PROBABILITY, 2019, 47 (05): : 2930 - 2952
[29] Tensor decomposition processes for interpolation of diffusion magnetic resonance imaging
Dario Vargas-Cardona, Hernan
Orozco, Alvaro A.
Alvarez, Andres M.
Alvarez, Mauricio A.
EXPERT SYSTEMS WITH APPLICATIONS, 2019, 118 : 92 - 108
[30] Imperfect diffusion-controlled reactions for stochastic processes with memory
Mendes, T. V.
Guerin, T.
EPL, 2024, 147 (05)

← 1 2 3 4 →