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Volumn 73, Issue 2, 1998, Pages 173-193

Exponential rate of convergence of an infinite neuron model with local connections

(1)  Turova, Tatyana S a  

a NONE

Author keywords

Cluster expansions; Ergodicity; Exponential convergence; Stochastic neural network

Indexed keywords


EID: 0000433408     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-4149(97)00099-9     Document Type: Article
Times cited : (3)

References (13)
  • 1
    • 0001353956 scopus 로고
    • Mathematical analysis of a neural network with inhibitory coupling
    • Cottrell M. Mathematical analysis of a neural network with inhibitory coupling. Stochastic Process. Appl. 40:1992;103-126.
    • (1992) Stochastic Process. Appl. , vol.40 , pp. 103-126
    • Cottrell, M.1
  • 5
    • 0040974877 scopus 로고
    • Wald's identity and random walk models for neuron firing
    • Kryukov V.I. Wald's identity and random walk models for neuron firing. Adv. Appl. Probab. 8:1976;257-277.
    • (1976) Adv. Appl. Probab. , vol.8 , pp. 257-277
    • Kryukov, V.I.1
  • 8
    • 0039788375 scopus 로고
    • Ergodicity of infinite systems of stochastic equations
    • (in Russian) [English transl. Mathematical Notes, 318-325]
    • Malyshev, V.A., Podorol'skii, V.A., Turova, T.S., 1989. Ergodicity of infinite systems of stochastic equations. Mat. Zametky 45 (4), 78-88. (in Russian) [English transl. Mathematical Notes, 318-325].
    • (1989) Mat. Zametky , vol.45 , Issue.4 , pp. 78-88
    • Malyshev, V.A.1    Podorol'Skii, V.A.2    Turova, T.S.3
  • 9
    • 0000479968 scopus 로고
    • On moment generating functions and renewal theory
    • Stone C. On moment generating functions and renewal theory. The Ann. Math. Stat. 36:1965;1298-1301.
    • (1965) The Ann. Math. Stat. , vol.36 , pp. 1298-1301
    • Stone, C.1
  • 10
    • 0001606325 scopus 로고
    • Synchronization of firing times in a stochastic neural network model with excitatory connections
    • Turova, T.S., Mommaerts, W., van der Meulen, E.C., 1994. Synchronization of firing times in a stochastic neural network model with excitatory connections. Stochastic Process. Appl. 50, 173-186.
    • (1994) Stochastic Process. Appl. , vol.50 , pp. 173-186
    • Turova, T.S.1    Mommaerts, W.2    Van Der Meulen, E.C.3
  • 11
    • 85033892483 scopus 로고
    • Ergodicity of an infinite neuron model with local inhibitory connections
    • Department of Mathematics, CINVESTAV, Mexico
    • Turova, T.S., 1994. Ergodicity of an infinite neuron model with local inhibitory connections. Tech. Rept. No. 168, Department of Mathematics, CINVESTAV, Mexico.
    • (1994) Tech. Rept. No. , vol.168
    • Turova, T.S.1
  • 13
    • 0002560216 scopus 로고    scopus 로고
    • Analysis of a biologically plausible neural network via an hourglass model
    • Turova T.S. Analysis of a biologically plausible neural network via an hourglass model. Markov Processes Related Fields. 2:1996;487-510.
    • (1996) Markov Processes Related Fields , vol.2 , pp. 487-510
    • Turova, T.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.