N-limit of spectral gap of a class of birth-death Markov chains

Applied Stochastic Models in Business and Industry

Volumn 16, Issue 4, 2000, Pages 235-248

  Granovsky, Boris L ^a   Zeifman, A I ^b  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

^b VOLOGDA STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; CONVERGENCE OF NUMERICAL METHODS; EIGENVALUES AND EIGENFUNCTIONS; MATRIX ALGEBRA;

SPECTRAL GAPS; ZEIFMAN'S METHOD;

MARKOV PROCESSES;

EID: 0034290393     PISSN: 15241904     EISSN: None     Source Type: Journal    
DOI: 10.1002/1526-4025(200010/12)16:4<235::AID-ASMB415>3.0.CO;2-S     Document Type: Article

References (11)

1. Zeifman A. Some estimates of the rate of convergence for birth and death processes. Journal of Applied Probability 1991; 28: 268-277.
2. Zeifman A. Upper and lower bounds on the rate of convergence for nonhomogeneous birth and death processes. Stochastic Processes and their Applications 1995; 59: 157-173.
3. Granovsky BL, Zeifman A. The decay function of nonhomogeneous birth-death processes, with application to mean-field models. Stochastic Processes and their Applications 1997; 72: 105-120.
4. Diaconis P, Salloff-Coste L. Walks on generating sets of Abelian groups. Probability Theory and Related Fields 1996; 105: 393-421.
5. Daleckii JuL, Krein MG. Stability of solutions of Differential Equations in Banach Space, Translations of Mathematical Monographs, vol. 43, AMS: Providence, RI, 1974.
6. Liggett TM. Interacting Particle Systems. Springer: New York, 1985.
7. Diaconis P, Salloff-Coste L. Logarithmic Sobolev inequalities for finite Markov chains. The Annals of Applied Probability 1996; 6: 695-750.
8. Diaconis P. Group Representations in Probability and Statistics. IMS: Hayward, CA, 1988.
9. Saloff-Coste L. Lectures On Finite Markov Chains, Lecture Notes in Mathematics, vol. 1665. Springer: Berlin, 1996; 301-413.
10. Chung FRK, Graham RL. Random walks on generating sets for finite groups. The Electronic Journal of Combinatorics 1997; 4(2).
11. Chen Mufa, Coupling, spectral gap and related topics (III). Chinese Science Bulletin 1997; 42(18).