메뉴 건너뛰기




Volumn 107, Issue 3-4, 2002, Pages 757-779

Metastability in Glauber dynamics in the low-temperature limit: Beyond exponential asymptotics

Author keywords

Glauber dynamics; Kinetic Ising model; Markov chains; Metastability

Indexed keywords


EID: 0141673133     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1014586130046     Document Type: Article
Times cited : (106)

References (25)
  • 1
    • 51249172533 scopus 로고
    • Critical droplets and metastability for a Glauber dynamics at very low temperatures
    • E. J. Neves and R. H. Schonmann, Critical droplets and metastability for a Glauber dynamics at very low temperatures, Comm. Math. Phys. 137(2):209-230 (1991).
    • (1991) Comm. Math. Phys. , vol.137 , Issue.2 , pp. 209-230
    • Neves, E.J.1    Schonmann, R.H.2
  • 2
    • 84878078962 scopus 로고    scopus 로고
    • Metastability of the three-dimensional Ising model on a torus at very low temperatures
    • G. Ben Arous and R. Cerf, Metastability of the three-dimensional Ising model on a torus at very low temperatures, Electron. J. Probab. 1 (1996).
    • (1996) Electron. J. Probab. , pp. 1
    • Ben Arous, G.1    Cerf, R.2
  • 3
    • 0041543083 scopus 로고    scopus 로고
    • The three-dimensional polyominoes of minimal area
    • Research Paper 27
    • L. Alonso and R. Cerf, The three-dimensional polyominoes of minimal area, Electron. J. Combin. 3(1) (1996), Research Paper 27.
    • (1996) Electron. J. Combin. , vol.3 , Issue.1
    • Alonso, L.1    Cerf, R.2
  • 4
  • 5
    • 0036019245 scopus 로고    scopus 로고
    • Metastability and low-lying spectra in reversible Markov chains
    • WIAS-preprint 601, to appear in
    • A. Bovier, M. Eckhoff, V. Gayrard, and M. Klein, Metastability and low-lying spectra in reversible Markov chains. WIAS-preprint 601, to appear in Commun. Math. Phys. (2002).
    • (2002) Commun. Math. Phys.
    • Bovier, A.1    Eckhoff, M.2    Gayrard, V.3    Klein, M.4
  • 6
    • 0021442334 scopus 로고
    • Metastable behavior of stochastic dynamics: A pathwise approach
    • M. Cassandro, A. Galves, E. Olivieri, and M. E. Vares, Metastable behavior of stochastic dynamics: A pathwise approach, J. Statist. Phys. 35:603-634 (1984).
    • (1984) J. Statist. Phys. , vol.35 , pp. 603-634
    • Cassandro, M.1    Galves, A.2    Olivieri, E.3    Vares, M.E.4
  • 7
    • 0038992361 scopus 로고    scopus 로고
    • Large deviations and metastability. Disordered systems (Temuco, 1991/1992)
    • Hermann, Paris
    • M. E. Vares, Large deviations and metastability. Disordered systems (Temuco, 1991/1992), in Travaux en Cours, Vol. 53 (Hermann, Paris, 1996), pp. 1-62.
    • (1996) Travaux en Cours , vol.53 , pp. 1-62
    • Vares, M.E.1
  • 9
    • 0342762769 scopus 로고
    • Markov chains with exponentially small transition probabilities: First exit problem from a general domain. I. The reversible case
    • E. Olivieri and E. Scoppola, Markov chains with exponentially small transition probabilities: First exit problem from a general domain. I. The reversible case, J. Statist. Phys. 79:613-647 (1995).
    • (1995) J. Statist. Phys. , vol.79 , pp. 613-647
    • Olivieri, E.1    Scoppola, E.2
  • 10
    • 0030520593 scopus 로고    scopus 로고
    • Markov chains with exponentially small transition probabilities: First exit problem from a general domain. II. The general case
    • E. Olivieri and E. Scoppola, Markov chains with exponentially small transition probabilities: First exit problem from a general domain. II. The general case, J. Statist. Phys. 84:987-1041 (1996).
    • (1996) J. Statist. Phys. , vol.84 , pp. 987-1041
    • Olivieri, E.1    Scoppola, E.2
  • 11
    • 0010100927 scopus 로고
    • Sharp large deviations estimates for simulated annealing algorithms
    • O. Catoni, Sharp large deviations estimates for simulated annealing algorithms, Ann. Inst. H. Poincaré Probab. Statist. 27:291-383 (1991).
    • (1991) Ann. Inst. H. Poincaré Probab. Statist. , vol.27 , pp. 291-383
    • Catoni, O.1
  • 12
    • 84964346346 scopus 로고
    • The exit path of a Markov chain with rare transitions
    • O. Catoni and R. Cerf, The exit path of a Markov chain with rare transitions, ESAIM Probab. Statist. 1:95-144 (1995/97).
    • (1995) ESAIM Probab. Statist. , vol.1 , pp. 95-144
    • Catoni, O.1    Cerf, R.2
  • 13
    • 21844485897 scopus 로고
    • A discrete variational problem related to Ising droplets at low temperatures
    • E. J. Neves, A discrete variational problem related to Ising droplets at low temperatures, J. Statist. Phys. 80:103-123 (1995).
    • (1995) J. Statist. Phys. , vol.80 , pp. 103-123
    • Neves, E.J.1
  • 14
    • 0040392377 scopus 로고
    • Renormalization and graph methods for Markov chains
    • World Scientific Publishing, River Edge, New Jersey
    • E. Scoppola, Renormalization and graph methods for Markov chains, in Advances in Dynamical Systems and Quantum Physics (Capri, 1993) (World Scientific Publishing, River Edge, New Jersey, 1995), pp. 260-281.
    • (1995) Advances in Dynamical Systems and Quantum Physics (Capri, 1993) , pp. 260-281
    • Scoppola, E.1
  • 17
    • 0039254061 scopus 로고
    • Comportement de spectres d'opérateurs de Schrödinger à basse température
    • L. Miclo, Comportement de spectres d'opérateurs de Schrödinger à basse température, Bull. Sci. Math. 119: 529-553 (1995).
    • (1995) Bull. Sci. Math. , vol.119 , pp. 529-553
    • Miclo, L.1
  • 18
    • 0000688106 scopus 로고
    • Asymptotics of the spectral gap with applications to the theory of simulated annealing
    • R. A. Holley, S. Kusuoka, and S. W. Stroock, Asymptotics of the spectral gap with applications to the theory of simulated annealing, J. Funct. Anal. 83:333-347 (1989).
    • (1989) J. Funct. Anal. , vol.83 , pp. 333-347
    • Holley, R.A.1    Kusuoka, S.2    Stroock, S.W.3
  • 20
    • 0003252136 scopus 로고
    • Random walks and electric networks
    • Mathematical Association of America, Washington, DC
    • P. Doyle and J. L. Snell, Random walks and electric networks, in Carus Mathematical Monographs, Vol. 22 (Mathematical Association of America, Washington, DC, 1984).
    • (1984) Carus Mathematical Monographs , vol.22
    • Doyle, P.1    Snell, J.L.2
  • 21
    • 0040955183 scopus 로고    scopus 로고
    • Metropolis dynamics via nucleation and growth
    • P. Dehghanpour and R. H. Schonmann, Metropolis dynamics via nucleation and growth, Commun. Math. Phys. 188:89-119 (1997).
    • (1997) Commun. Math. Phys. , vol.188 , pp. 89-119
    • Dehghanpour, P.1    Schonmann, R.H.2
  • 25
    • 0032098595 scopus 로고    scopus 로고
    • Wulff droplets and the metastable relaxation of kinetic Ising models
    • R. H. Schonmann and S. B. Shlosman, Wulff droplets and the metastable relaxation of kinetic Ising models, Comm. Math. Phys. 194:389-462 (1998).
    • (1998) Comm. Math. Phys. , vol.194 , pp. 389-462
    • Schonmann, R.H.1    Shlosman, S.B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.