Estimates on the amplitude of the first Dirichlet eigenvector in discrete frameworks

DOI10.1007/s11425-015-5085-2zbMath1342.60131arXiv1505.07711OpenAlexW2143594260MaRDI QIDQ283042

Laurent Miclo, Persi Diaconis

Publication date: 13 May 2016

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.07711

zbMATH Keywords

birth-and-death processspectral estimatesMarkov generatorentrance boundaryfirst Dirichlet eigenvectorpath method

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Inequalities involving eigenvalues and eigenvectors (15A42) Positive matrices and their generalizations; cones of matrices (15B48) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Continuous-time Markov processes on discrete state spaces (60J27) Transition functions, generators and resolvents (60J35) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (2)

HITTING TIME DISTRIBUTIONS FOR BIRTH–DEATH PROCESSES WITH BILATERAL ABSORBING BOUNDARIES ⋮ On time scales and quasi-stationary distributions for multitype birth-and-death processes

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