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Volumn 123, Issue 9, 2013, Pages 3466-3496

Zero-range condensation at criticality

Author keywords

Condensation; Conditional maximum; Subexponential tails; Zero range process

Indexed keywords

CONDENSATION TRANSITION; CONDITIONAL MAXIMUM; CRITICAL DENSITY; LAW OF LARGE NUMBERS; LIMITING VALUES; STRETCHED EXPONENTIAL; SUBEXPONENTIAL TAILS; ZERO-RANGE PROCESS;

EID: 84878258611     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spa.2013.04.021     Document Type: Article
Times cited : (44)

References (26)
  • 1
    • 0000669932 scopus 로고
    • Invariant measures for the zero range process
    • E.D. Andjel Invariant measures for the zero range process Ann. Probab. 10 3 1982 525 547
    • (1982) Ann. Probab. , vol.10 , Issue.3 , pp. 525-547
    • Andjel, E.D.1
  • 2
    • 0347935883 scopus 로고    scopus 로고
    • Convergence to the maximal invariant measure for a zero-range process with random rates
    • E.D. Andjel, P.A. Ferrari, H. Guiol, and C. Landim Convergence to the maximal invariant measure for a zero-range process with random rates Stochastic Process. Appl. 90 2000 67 81
    • (2000) Stochastic Process. Appl. , vol.90 , pp. 67-81
    • Andjel, E.D.1    Ferrari, P.A.2    Guiol, H.3    Landim, C.4
  • 3
    • 67649109732 scopus 로고    scopus 로고
    • Thermodynamic limit for the invariant measures in supercritical zero range processes
    • I. Armendáriz, and M. Loulakis Thermodynamic limit for the invariant measures in supercritical zero range processes Probab. Theory Related Fields 145 1-2 2009 175 188
    • (2009) Probab. Theory Related Fields , vol.145 , Issue.12 , pp. 175-188
    • Armendáriz, I.1    Loulakis, M.2
  • 4
    • 79952626432 scopus 로고    scopus 로고
    • Conditional distribution of heavy tailed random variables on large deviations of their sum
    • I. Armendáriz, and M. Loulakis Conditional distribution of heavy tailed random variables on large deviations of their sum Stochastic Process. Appl. 121 5 2011 1138 1147
    • (2011) Stochastic Process. Appl. , vol.121 , Issue.5 , pp. 1138-1147
    • Armendáriz, I.1    Loulakis, M.2
  • 5
    • 77956189160 scopus 로고    scopus 로고
    • Tunneling and metastability of continuous time Markov Chains
    • J. Beltrán, and C. Landim Tunneling and metastability of continuous time Markov Chains J. Stat. Phys. 140 6 2010 1065 1114
    • (2010) J. Stat. Phys. , vol.140 , Issue.6 , pp. 1065-1114
    • Beltrán, J.1    Landim, C.2
  • 6
    • 84858149561 scopus 로고    scopus 로고
    • Metastability of reversible condensed zero range processes on a finite set
    • 10.1007/s00440-010-0337-0
    • J. Beltrán, and C. Landim Metastability of reversible condensed zero range processes on a finite set Probab. Theory Related Fields 2011 10.1007/s00440-010-0337-0
    • (2011) Probab. Theory Related Fields
    • Beltrán, J.1    Landim, C.2
  • 8
    • 0036791294 scopus 로고    scopus 로고
    • On the formation/dissolution of equilibrium droplets
    • M. Biskup, L. Chayes, and R. Kotecký On the formation/dissolution of equilibrium droplets Europhys. Lett. 60 1 2002 21 27
    • (2002) Europhys. Lett. , vol.60 , Issue.1 , pp. 21-27
    • Biskup, M.1    Chayes, L.2    Kotecký, R.3
  • 9
    • 0242508285 scopus 로고    scopus 로고
    • Critical Region for Droplet Formation in the Two-Dimensional Ising Model
    • M. Biskup, L. Chayes, and R. Kotecký Critical region for droplet formation in the two-dimensional Ising model Comm. Math. Phys. 242 1-2 2003 137 183 (Pubitemid 37417715)
    • (2003) Communications in Mathematical Physics , vol.242 , Issue.1-2 , pp. 137-183
    • Biskup, M.1    Chayes, L.2    Kotecky, R.3
  • 10
    • 77955559708 scopus 로고    scopus 로고
    • Finite size effects and metastability in zero-range condensation
    • P. Chleboun, and S. Grosskinsky Finite size effects and metastability in zero-range condensation J. Stat. Phys. 140 5 2010 846 872
    • (2010) J. Stat. Phys. , vol.140 , Issue.5 , pp. 846-872
    • Chleboun, P.1    Grosskinsky, S.2
  • 11
    • 0011317090 scopus 로고
    • An elementary proof of the local central limit theorem
    • B. Davis, and D. McDonald An elementary proof of the local central limit theorem J. Theoret. Probab. 8 3 1995 693 701
    • (1995) J. Theoret. Probab. , vol.8 , Issue.3 , pp. 693-701
    • Davis, B.1    McDonald, D.2
  • 12
    • 53049109495 scopus 로고    scopus 로고
    • Large deviations for random walks under subexponentiality: The big-jump domain
    • D. Denisov, A.B. Dieker, and V. Shneer Large deviations for random walks under subexponentiality: the big-jump domain Ann. Probab. 36 2008 1946 1991
    • (2008) Ann. Probab. , vol.36 , pp. 1946-1991
    • Denisov, D.1    Dieker, A.B.2    Shneer, V.3
  • 14
    • 0034349230 scopus 로고    scopus 로고
    • Phase transitions in one-dimensional nonequilibrium systems
    • M.R. Evans Phase transitions in one-dimensional nonequilibrium systems Braz. J. Phys. 30 1 2000 42 57
    • (2000) Braz. J. Phys. , vol.30 , Issue.1 , pp. 42-57
    • Evans, M.R.1
  • 15
    • 21244491635 scopus 로고    scopus 로고
    • Nonequilibrium statistical mechanics of the zero-range process and related models
    • M.R. Evans, and T. Hanney Nonequilibrium statistical mechanics of the zero-range process and related models J. Phys. A: Math. Gen. 38 2005 R195 R240
    • (2005) J. Phys. A: Math. Gen. , vol.38
    • Evans, M.R.1    Hanney, T.2
  • 16
    • 44949162831 scopus 로고    scopus 로고
    • Condensation and extreme value statistics
    • M.R. Evans, and S.N. Majumdar Condensation and extreme value statistics J. Stat. Mech. 2008 P05004
    • (2008) J. Stat. Mech. , pp. 05004
    • Evans, M.R.1    Majumdar, S.N.2
  • 17
    • 34547755905 scopus 로고    scopus 로고
    • Condensation for a fixed number of independent random variables
    • P. Ferrari, C. Landim, and V. Sisko Condensation for a fixed number of independent random variables J. Stat. Phys. 128 5 2007 1153 1158
    • (2007) J. Stat. Phys. , vol.128 , Issue.5 , pp. 1153-1158
    • Ferrari, P.1    Landim, C.2    Sisko, V.3
  • 20
    • 46049101993 scopus 로고    scopus 로고
    • Equivalence of ensembles for two-species zero-range invariant measures
    • S. Großkinsky Equivalence of ensembles for two-species zero-range invariant measures Stochastic Process. Appl. 118 8 2008 1322 1350
    • (2008) Stochastic Process. Appl. , vol.118 , Issue.8 , pp. 1322-1350
    • Großkinsky, S.1
  • 21
    • 0346493090 scopus 로고    scopus 로고
    • Condensation in the Zero Range Process: Stationary and Dynamical Properties
    • DOI 10.1023/A:1026008532442
    • S. Großkinsky, G.M. Schütz, and H. Spohn Condensation in the zero range process: stationary and dynamical properties J. Stat. Phys. 113 3/4 2003 389 410 (Pubitemid 38104181)
    • (2003) Journal of Statistical Physics , vol.113 , Issue.3-4 , pp. 389-410
    • Grosskinsky, S.1    Schutz, G.M.2    Spohn, H.3
  • 22
    • 0034214580 scopus 로고    scopus 로고
    • Size of the largest cluster under zero-range invariant measures
    • DOI 10.1214/aop/1019160330
    • I. Jeon, P. March, and B. Pittel Size of the largest cluster under zero-range invariant measures Ann. Probab. 28 3 2000 1162 1194 (Pubitemid 33212827)
    • (2000) Annals of Probability , vol.28 , Issue.3 , pp. 1162-1194
    • Jeon, I.1    March, P.2    Pittel, B.3
  • 24
    • 0030487127 scopus 로고    scopus 로고
    • Hydrodynamic limit for space inhomogeneous one-dimensional totally asymmetric zero-range processes
    • C. Landim Hydrodynamic limit for space inhomogeneous one-dimensional totally asymmetric zero-range processes Ann. Probab. 24 2 1996 599 638
    • (1996) Ann. Probab. , vol.24 , Issue.2 , pp. 599-638
    • Landim, C.1
  • 25
    • 10044245063 scopus 로고
    • Local limit theorems with regard to large deviations when Cramér's condition is not satisfied
    • A.V. Nagaev Local limit theorems with regard to large deviations when Cramér's condition is not satisfied Litovsk. Mat. Sb. 8 1968 553 579
    • (1968) Litovsk. Mat. Sb. , vol.8 , pp. 553-579
    • Nagaev, A.V.1
  • 26
    • 0040261379 scopus 로고
    • Interaction of Markov processes
    • F. Spitzer Interaction of Markov processes Adv. Math. 5 1970 246 290
    • (1970) Adv. Math. , vol.5 , pp. 246-290
    • Spitzer, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.