On the Lower Bound of the Spectrum of Some Mean-Field Models
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Publication:5700623
DOI10.1137/S0040585X97980920zbMath1094.60066OpenAlexW1984328065MaRDI QIDQ5700623
Boris L. Granovsky, Alexander I. Zejfman
Publication date: 28 October 2005
Published in: Theory of Probability & Its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/s0040585x97980920
spectral gaprandom walks on graphsbirth-death processesspectrum of the generatormaximal and minimal rates of exponential convergence
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)
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A NOTE ON THE ASYMPTOTIC BEHAVIOR OF THE HEIGHT FOR A BIRTH-AND-DEATH PROCESS ⋮ Lower bounds for the rate of convergence for continuous-time inhomogeneous Markov chains with a finite state space ⋮ On convergence rate estimates for some birth and death processes ⋮ Two-sided bounds on the rate of convergence for continuous-time finite inhomogeneous Markov chains ⋮ On obtaining sharp bounds of the rate of convergence for a class of continuous-time Markov chains ⋮ Representations for the extreme zeros of orthogonal polynomials
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