메뉴 건너뛰기




Volumn 80, Issue 13-14, 2010, Pages 1121-1127

Diffusion approximation of birth-death processes: Comparison in terms of large deviations and exit points

Author keywords

Birth and death; Diffusion approximation; Exit points; Jump process; Large deviations

Indexed keywords


EID: 77953023526     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spl.2010.03.006     Document Type: Article
Times cited : (11)

References (14)
  • 1
    • 21844433698 scopus 로고    scopus 로고
    • Extinction times for birth-death processes: exact results, continuum asymptotics, and the failure of the Fokker-Planck approximation
    • Doering C., Sargsyan K., Sander L. Extinction times for birth-death processes: exact results, continuum asymptotics, and the failure of the Fokker-Planck approximation. SIAM Multiscale Modeling and Simulation 2004, 3(2):283-299.
    • (2004) SIAM Multiscale Modeling and Simulation , vol.3 , Issue.2 , pp. 283-299
    • Doering, C.1    Sargsyan, K.2    Sander, L.3
  • 2
    • 0001212640 scopus 로고
    • Emergent collective behavior in large numbers of globally coupled independently stochastic ion channels
    • Fox R., Lu Y. Emergent collective behavior in large numbers of globally coupled independently stochastic ion channels. Physical Review E 1994, 49(4):3421-3431.
    • (1994) Physical Review E , vol.49 , Issue.4 , pp. 3421-3431
    • Fox, R.1    Lu, Y.2
  • 5
    • 0001260529 scopus 로고
    • Bistable systems: master equation versus Fokker-Planck modeling
    • Hanggi P., Grabert H., Talkner P., Thomas H. Bistable systems: master equation versus Fokker-Planck modeling. Physical Review A 1984, 29(1):371-378.
    • (1984) Physical Review A , vol.29 , Issue.1 , pp. 371-378
    • Hanggi, P.1    Grabert, H.2    Talkner, P.3    Thomas, H.4
  • 6
    • 0001249058 scopus 로고
    • Limit theorems for sequences of jump markov processes approximating ordinary differential processes
    • Kurtz T. Limit theorems for sequences of jump markov processes approximating ordinary differential processes. Journal of Applied Probability 1971, 8:344-356.
    • (1971) Journal of Applied Probability , vol.8 , pp. 344-356
    • Kurtz, T.1
  • 9
    • 77953024264 scopus 로고    scopus 로고
    • Fluid limit theorems for stochastic hybrid systems with application to neuron models, Journal of Applied Probability (in press).
    • Pakdaman, K., Thieullen, M., Wainrib, G., 2009. Fluid limit theorems for stochastic hybrid systems with application to neuron models, Journal of Applied Probability (in press).
    • (2009)
    • Pakdaman, K.1    Thieullen, M.2    Wainrib, G.3
  • 10
    • 0001321497 scopus 로고
    • Approximation of the linear Boltzmann equation by the Fokker-Planck equation
    • Pawula R. Approximation of the linear Boltzmann equation by the Fokker-Planck equation. Physical Review 1967, 162(1):186-188.
    • (1967) Physical Review , vol.162 , Issue.1 , pp. 186-188
    • Pawula, R.1
  • 11
    • 33746882954 scopus 로고    scopus 로고
    • Diffusion approximations for ecological models. in: Proceedings of the International Congress on Modelling and Simulation.
    • Pollett, P., 2001. Diffusion approximations for ecological models. in: Proceedings of the International Congress on Modelling and Simulation, vol. 2, pp. 843-848.
    • (2001) , vol.2 , pp. 843-848
    • Pollett, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.