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Volumn 36, Issue 4, 2008, Pages 1322-1358

K-processes, scaling limit and aging for the trap model in the complete graph

Author keywords

Aging; K process; Processes in denumerable state spaces; Random energy model; Scaling limit; Trap models

Indexed keywords


EID: 52049121262     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/07-AOP360     Document Type: Article
Times cited : (19)

References (23)
  • 1
    • 29344439055 scopus 로고    scopus 로고
    • Bouchaud's model exhibits two different aging regimes in dimension one
    • MR2134101
    • BEN AROUS, G. and ĚERNÝ, J. (2005). Bouchaud's model exhibits two different aging regimes in dimension one. Ann. Appl. Probab. 15 1161-1192. MR2134101
    • (2005) Ann. Appl. Probab , vol.15 , pp. 1161-1192
    • BEN AROUS, G.1    ĚERNÝ, J.2
  • 3
    • 38949166719 scopus 로고    scopus 로고
    • The arcsine law as a universal aging scheme for trap models
    • BEN AROUS, G. and ĚERNÝ, J. (2008). The arcsine law as a universal aging scheme for trap models. Comm. Pure Appl. Math. 61 289-329.
    • (2008) Comm. Pure Appl. Math , vol.61 , pp. 289-329
    • BEN AROUS, G.1    ĚERNÝ, J.2
  • 4
    • 0038270756 scopus 로고    scopus 로고
    • Glauber dynamics of the random energy model. I. Metastable motion on the extreme states
    • MR1974509
    • BEN AROUS, G., BOVIER, A. and GAYRARD, V. (2003). Glauber dynamics of the random energy model. I. Metastable motion on the extreme states. Comm. Math. Phys. 235 379-425. MR1974509
    • (2003) Comm. Math. Phys , vol.235 , pp. 379-425
    • BEN AROUS, G.1    BOVIER, A.2    GAYRARD, V.3
  • 5
    • 0038806647 scopus 로고    scopus 로고
    • Glauber dynamics of the random energy model. II. Aging below the critical temperature
    • MR1977880
    • BEN AROUS, G., BOVIER, A. and GAYRARD, V. (2003). Glauber dynamics of the random energy model. II. Aging below the critical temperature. Comm. Math. Phys. 236 1-54. MR1977880
    • (2003) Comm. Math. Phys , vol.236 , pp. 1-54
    • BEN AROUS, G.1    BOVIER, A.2    GAYRARD, V.3
  • 8
    • 0001407169 scopus 로고    scopus 로고
    • Out of equilibrium dynamics in spin-glasses and other glassy systems
    • A. P. Young, ed, World Scientific, Singapore
    • BOUCHAUD, J.-P., CUGLIANDOLO, L., KURCHAN, J. and MÉZARD, M. (1998). Out of equilibrium dynamics in spin-glasses and other glassy systems. In Spin-Glasses and Random Fields (A. P. Young, ed.) 161-224. World Scientific, Singapore.
    • (1998) Spin-Glasses and Random Fields , pp. 161-224
    • BOUCHAUD, J.-P.1    CUGLIANDOLO, L.2    KURCHAN, J.3    MÉZARD, M.4
  • 9
    • 32144440694 scopus 로고    scopus 로고
    • Spectral characterization of aging: The REM-like trap model
    • MR2152251
    • BOVIER, A. and FAGGIONATO, A. (2005). Spectral characterization of aging: The REM-like trap model. Ann. Appl. Probab. 15 1997-2037. MR2152251
    • (2005) Ann. Appl. Probab , vol.15 , pp. 1997-2037
    • BOVIER, A.1    FAGGIONATO, A.2
  • 11
    • 84883606664 scopus 로고    scopus 로고
    • Extending Markov processes in weak duality by Poisson point processes of excursions
    • F. Benth, G. Di Nunno, T. Lindstrøm, B. Øksendal and T. Zhang, eds, Springer, Berlin
    • CHEN, Z.-Q., FUKUSHIMA, M. and YING, J. (2007). Extending Markov processes in weak duality by Poisson point processes of excursions. In Stochastic Analysis and Applications. The Abel Symposium 2005 (F. Benth, G. Di Nunno, T. Lindstrøm, B. Øksendal and T. Zhang, eds.). Springer, Berlin.
    • (2007) Stochastic Analysis and Applications. The Abel Symposium 2005
    • CHEN, Z.-Q.1    FUKUSHIMA, M.2    YING, J.3
  • 13
    • 52049106655 scopus 로고    scopus 로고
    • ETHIER, S. N. and KURTZ, T. G. (1986). Markov Processes. Characterization and Convergence. Wiley, New York. MR0838085
    • ETHIER, S. N. and KURTZ, T. G. (1986). Markov Processes. Characterization and Convergence. Wiley, New York. MR0838085
  • 14
    • 52049115698 scopus 로고    scopus 로고
    • FELLER, W. (1971). An Introduction to Probability Theory and Its Applications II, 2nd ed. Wiley, New York. MR0270403
    • FELLER, W. (1971). An Introduction to Probability Theory and Its Applications II, 2nd ed. Wiley, New York. MR0270403
  • 15
    • 0032147538 scopus 로고    scopus 로고
    • Spectral gap of the REM under Metropolis dynamics
    • MR1627811
    • FONTES, L. R. G., ISOPI, M., KOHAYAKAWA, Y. and PICCO, P. (1998), Spectral gap of the REM under Metropolis dynamics. Ann. Appl. Probab. 8 917-943, MR1627811
    • (1998) Ann. Appl. Probab , vol.8 , pp. 917-943
    • FONTES, L.R.G.1    ISOPI, M.2    KOHAYAKAWA, Y.3    PICCO, P.4
  • 16
    • 0036018203 scopus 로고    scopus 로고
    • Random walks with strongly inhomogeneous rates and singular diffusions: Convergence, localization and aging in one dimension
    • MR1905852
    • FONTES, L. R. G., ISOPI, M. and NEWMAN, C. M. (2002). Random walks with strongly inhomogeneous rates and singular diffusions: Convergence, localization and aging in one dimension. Ann. Probab. 30 579-604. MR1905852
    • (2002) Ann. Probab , vol.30 , pp. 579-604
    • FONTES, L.R.G.1    ISOPI, M.2    NEWMAN, C.M.3
  • 17
    • 52049090629 scopus 로고    scopus 로고
    • FREEDMAN, D. (1972), Approximating Countable Markov Chains. Holden-Day, San Francisco, CA. MR0428472
    • FREEDMAN, D. (1972), Approximating Countable Markov Chains. Holden-Day, San Francisco, CA. MR0428472
  • 18
    • 17444432221 scopus 로고    scopus 로고
    • Poisson point processes attached to symmetric diffusions
    • MR2139028
    • FUKUSHIMA, M. and TANAKA, H. (2005). Poisson point processes attached to symmetric diffusions, Ann. Inst. H. Poincaré Probab. Statist. 41419-459. MR2139028
    • (2005) Ann. Inst. H. Poincaré Probab. Statist , vol.41 , pp. 419-459
    • FUKUSHIMA, M.1    TANAKA, H.2
  • 19
    • 52049093953 scopus 로고    scopus 로고
    • FUKUSHIMA, M., OSHIMA, Y. and TAKEDA, M. (1994). Dirichlet Forms and Symmetric Markov Processes, de Gruyter, Berlin. MR1303354
    • FUKUSHIMA, M., OSHIMA, Y. and TAKEDA, M. (1994). Dirichlet Forms and Symmetric Markov Processes, de Gruyter, Berlin. MR1303354
  • 20
    • 52049112148 scopus 로고    scopus 로고
    • KENDALL, D. G. and REUTER, G. E. H. (1956). Some pathological Markov processes with a denumerable infinity of states and the associated semigroups of operators on l. In Proceedings of the International Congress of Mathematicians, 1954, Amsterdam III 377-415. Erven P. Noordhoff N. V., Groningen. MR0088831
    • KENDALL, D. G. and REUTER, G. E. H. (1956). Some pathological Markov processes with a denumerable infinity of states and the associated semigroups of operators on l. In Proceedings of the International Congress of Mathematicians, 1954, Amsterdam III 377-415. Erven P. Noordhoff N. V., Groningen. MR0088831
  • 21
    • 0007073283 scopus 로고
    • On the differentiability of the transition probabilities in stationary Markov processes with a denumerable number of states
    • MR0050210
    • KOLMOOOROV, A. N. (1951). On the differentiability of the transition probabilities in stationary Markov processes with a denumerable number of states. Moskov. Gos. Univ. Učenye Zapiski Matematika 148 53-59. MR0050210
    • (1951) Moskov. Gos. Univ. Učenye Zapiski Matematika , vol.148 , pp. 53-59
    • KOLMOOOROV, A.N.1
  • 22
    • 0040539257 scopus 로고
    • Systèmes markovíens et stationnaíres, Cas dénombrable
    • MR0047961
    • LÉVY, P. (1951), Systèmes markovíens et stationnaíres, Cas dénombrable, Ann. Sci. École Norm. Sup. (3) 68 327-381, MR0047961
    • (1951) Ann. Sci. École Norm. Sup , vol.68 , Issue.3 , pp. 327-381
    • LÉVY, P.1
  • 23
    • 52049105233 scopus 로고    scopus 로고
    • SHARPE, M. (1988). General Theory of Markov Processes. Academic Press, Boston. MR0958914
    • SHARPE, M. (1988). General Theory of Markov Processes. Academic Press, Boston. MR0958914


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