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Volumn 36, Issue 1, 2008, Pages 255-278

Stochastic networks with multiple stable points

Author keywords

Energy function; Fixed point equations; Limit; Mean field; Metastability; Points; Stable equilibrium

Indexed keywords


EID: 51949097137     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/009117907000000105     Document Type: Article
Times cited : (33)

References (25)
  • 2
    • 39049158194 scopus 로고    scopus 로고
    • Capacity of wireless network with intra- and inter-cell mobility
    • BORST, S. C., HEGDE, N. and PROUTIÈRE, A. (2006). Capacity of wireless network with intra- and inter-cell mobility. IEEE Infocom.
    • (2006) IEEE Infocom
    • BORST, S.C.1    HEGDE, N.2    PROUTIÈRE, A.3
  • 3
    • 51949113983 scopus 로고    scopus 로고
    • Markov processes and metastability
    • BOVIER, A. (2003). Markov processes and metastability. Lecture Notes TUB.
    • (2003) Lecture Notes TUB
    • BOVIER, A.1
  • 4
    • 51949108358 scopus 로고    scopus 로고
    • BOVIER, A. (2004). Metastability and ageing in stochastic dynamics. In Dynamics and Randomness II (Santiago de Chile) (A. Maas, S. Martinez and J. San Martin, eds.) 17-79. Kluwer, Dordrecht. MR2153326
    • BOVIER, A. (2004). Metastability and ageing in stochastic dynamics. In Dynamics and Randomness II (Santiago de Chile) (A. Maas, S. Martinez and J. San Martin, eds.) 17-79. Kluwer, Dordrecht. MR2153326
  • 5
    • 4644347796 scopus 로고    scopus 로고
    • Metastability in reversible diffusion processes I. Sharp asymptotics for capacities and exit times
    • MR2094397
    • BOVIER, A., ECKHOFF, M., GAYRARD, V. and KLEIN, M. (2004). Metastability in reversible diffusion processes I. Sharp asymptotics for capacities and exit times. J. Eur. Math. Soc. 6 399-424. MR2094397
    • (2004) J. Eur. Math. Soc , vol.6 , pp. 399-424
    • BOVIER, A.1    ECKHOFF, M.2    GAYRARD, V.3    KLEIN, M.4
  • 6
    • 84964346346 scopus 로고    scopus 로고
    • CATONI, O. and CERF, R. (1995/97). The exit path of a Markov chain with rare transitions. European Series in Applied and Industrial Mathematics. Probab. Statist. 1 95-144 (electronic). MR1440079
    • CATONI, O. and CERF, R. (1995/97). The exit path of a Markov chain with rare transitions. European Series in Applied and Industrial Mathematics. Probab. Statist. 1 95-144 (electronic). MR1440079
  • 7
    • 14544286880 scopus 로고    scopus 로고
    • Structure of large random, hypergraphs
    • MR2115039
    • DARLING, R. W. R. and. NORRIS, J. R. (2005). Structure of large random, hypergraphs. Ann. Appl. Probab. 15 125-152. MR2115039
    • (2005) Ann. Appl. Probab , vol.15 , pp. 125-152
    • DARLING, R.W.R.1    NORRIS, J.R.2
  • 8
    • 4644313263 scopus 로고    scopus 로고
    • Metastability under stochastic dynamics
    • MR2094145
    • DEN HOLLANDER, F. (2004). Metastability under stochastic dynamics. Stochastic Process. Appl. 114 1-26. MR2094145
    • (2004) Stochastic Process. Appl , vol.114 , pp. 1-26
    • DEN HOLLANDER, F.1
  • 9
    • 51949105048 scopus 로고    scopus 로고
    • FREIDLIN, M. I. and WENTZELL, A. D. (1998). Random Perturbations of Dynamical Systems, 2nd ed. Springer, New York. Translated from the 1979 Russian original by Joseph Szücs. MR0722136
    • FREIDLIN, M. I. and WENTZELL, A. D. (1998). Random Perturbations of Dynamical Systems, 2nd ed. Springer, New York. Translated from the 1979 Russian original by Joseph Szücs. MR0722136
  • 10
    • 51949110715 scopus 로고    scopus 로고
    • GIBBENS, R. J., HUNT, R J. and KELLY, F. P. (1990). Bistability in communication networks. In Disorder in Physical Systems (G. Grimmett and D. Welsh, eds.) 113-127. Oxford Univ. Press, New York. MR1064558
    • GIBBENS, R. J., HUNT, R J. and KELLY, F. P. (1990). Bistability in communication networks. In Disorder in Physical Systems (G. Grimmett and D. Welsh, eds.) 113-127. Oxford Univ. Press, New York. MR1064558
  • 11
    • 33747142749 scopus 로고    scopus 로고
    • The capacity of wireless networks
    • MR1748976
    • GUPTA, P. and KUMAR, P. R. (2000). The capacity of wireless networks. IEEE Trans. Inform. Theory 46 388-404. MR1748976
    • (2000) IEEE Trans. Inform. Theory , vol.46 , pp. 388-404
    • GUPTA, P.1    KUMAR, P.R.2
  • 14
    • 0000272473 scopus 로고
    • Blocking probabilities in large circuit-switched networks
    • MR0840104
    • KELLY, F. P. (1986). Blocking probabilities in large circuit-switched networks. Adv. in Appl. Probab. 18 473-505. MR0840104
    • (1986) Adv. in Appl. Probab , vol.18 , pp. 473-505
    • KELLY, F.P.1
  • 15
    • 0001033437 scopus 로고
    • Loss networks
    • MR1111523
    • KELLY, F. P. (1991). Loss networks. Ann. Appl. Probab. 1319-378. MR1111523
    • (1991) Ann. Appl. Probab , vol.1 , pp. 319-378
    • KELLY, F.P.1
  • 17
    • 51949089944 scopus 로고    scopus 로고
    • LIGGETT, T. M. (1985). Interacting Particle Systems. Springer, New York. MR0776231
    • LIGGETT, T. M. (1985). Interacting Particle Systems. Springer, New York. MR0776231
  • 18
    • 33751025087 scopus 로고
    • Loss circuit switched communication network: Performance analysis and dynamic routing
    • MR1218846
    • MARBUKH, V. (1993). Loss circuit switched communication network: Performance analysis and dynamic routing. Queueing Syst. 13 111-141. MR1218846
    • (1993) Queueing Syst , vol.13 , pp. 111-141
    • MARBUKH, V.1
  • 19
    • 51949113022 scopus 로고    scopus 로고
    • OLIVIERI, E. and VARES, E. M. (2005). Large Deviations and Metastability. Cambridge Univ. Press. MR2123364
    • OLIVIERI, E. and VARES, E. M. (2005). Large Deviations and Metastability. Cambridge Univ. Press. MR2123364
  • 20
    • 0036509110 scopus 로고    scopus 로고
    • Markov random field models of multicasting in tree networks
    • MR1895331
    • RAMANAN, K., SENGUPTA, A., ZIEDINS, I. and MITRA, P. (2002). Markov random field models of multicasting in tree networks. Adv. in Appl. Probab. 34 58-84. MR1895331
    • (2002) Adv. in Appl. Probab , vol.34 , pp. 58-84
    • RAMANAN, K.1    SENGUPTA, A.2    ZIEDINS, I.3    MITRA, P.4
  • 21
    • 51949111869 scopus 로고    scopus 로고
    • ROGERS, L. C. G. and WILLIAMS, D. (1987). Diffusions, Markov Processes, and Martingales 2: ltô Calculus. Wiley, New York. MR0921238
    • ROGERS, L. C. G. and WILLIAMS, D. (1987). Diffusions, Markov Processes, and Martingales 2: ltô Calculus. Wiley, New York. MR0921238
  • 22
    • 0000318254 scopus 로고
    • Markov random fields on an infinite tree
    • MR0378152
    • SPITZER, F. (1975). Markov random fields on an infinite tree. Ann. Probab. 3 387-398. MR0378152
    • (1975) Ann. Probab , vol.3 , pp. 387-398
    • SPITZER, F.1
  • 23
    • 51949085277 scopus 로고    scopus 로고
    • SZNITMAN, A. S. (1989). Topics in propagation of chaos. École d'Été de Probabilités de Saint Flour XIX-1989. Lecture Notes in Math. 1464 165-251. Springer, Berlin. MR1108185
    • SZNITMAN, A. S. (1989). Topics in propagation of chaos. École d'Été de Probabilités de Saint Flour XIX-1989. Lecture Notes in Math. 1464 165-251. Springer, Berlin. MR1108185
  • 24
    • 0001230116 scopus 로고
    • Countable state space Markov random fields and Markov chains on trees
    • MR0714953
    • ZACHARY, S. (1983). Countable state space Markov random fields and Markov chains on trees. Ann. Probab. 11 894-903. MR0714953
    • (1983) Ann. Probab , vol.11 , pp. 894-903
    • ZACHARY, S.1
  • 25
    • 0033235828 scopus 로고    scopus 로고
    • Loss networks and Markov random fields
    • MR1724828
    • ZACHARY, S. and ZIEDINS, I. (1999). Loss networks and Markov random fields. J. Appl. Probab. 36 403-414. MR1724828
    • (1999) J. Appl. Probab , vol.36 , pp. 403-414
    • ZACHARY, S.1    ZIEDINS, I.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.