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Volumn 24, Issue 4, 1996, Pages 1842-1870

A central limit theorem for reversible exclusion and zero-range particle systems

Author keywords

Central limit theorem; Invariance principle; Simple exclusion process; Zero range process

Indexed keywords


EID: 0030356324     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1041903208     Document Type: Article
Times cited : (19)

References (16)
  • 1
    • 0000669932 scopus 로고
    • Invariant measures for the zero range process
    • ANDJEL, E. D. (1982). Invariant measures for the zero range process. Ann. Probab. 10 525-547.
    • (1982) Ann. Probab. , vol.10 , pp. 525-547
    • Andjel, E.D.1
  • 4
    • 0000061720 scopus 로고
    • Central limit theorems for infinite series of queues and applications to simple exclusion
    • KIPNIS, C. (1986). Central limit theorems for infinite series of queues and applications to simple exclusion. Ann. Probab. 14 397-408.
    • (1986) Ann. Probab. , vol.14 , pp. 397-408
    • Kipnis, C.1
  • 5
    • 0003044186 scopus 로고
    • Fluctuations des temps d'occupation d'un site dans l'exclusion simple symmetrique
    • KIPNIS, C. (1987). Fluctuations des temps d'occupation d'un site dans l'exclusion simple symmetrique. Ann. Inst. H. Poincaré Probab. Statist. 23 21-35.
    • (1987) Ann. Inst. H. Poincaré Probab. Statist. , vol.23 , pp. 21-35
    • Kipnis, C.1
  • 6
    • 34250130646 scopus 로고
    • Central limit theorem for additive functionals of reversible Markov processes
    • KIPNIS, C. and VARADHAN, S. R. S. (1986). Central limit theorem for additive functionals of reversible Markov processes. Comm. Math. Phys. 104 1-19.
    • (1986) Comm. Math. Phys. , vol.104 , pp. 1-19
    • Kipnis, C.1    Varadhan, S.R.S.2
  • 8
    • 0030352490 scopus 로고    scopus 로고
    • Spectral gap for zero-range dynamics
    • LANDIM, C., SETHURAMAN, S. and VARADHAN, S. (1996). Spectral gap for zero-range dynamics. Ann. Probab. 24 1651-1682.
    • (1996) Ann. Probab. , vol.24 , pp. 1651-1682
    • Landim, C.1    Sethuraman, S.2    Varadhan, S.3
  • 9
    • 0004753923 scopus 로고
    • A microscopical basis for Fick's law
    • LEBOWITZ, J. L. and SPOHN, H. (1982). A microscopical basis for Fick's law. J. Statist. Phys. 28 539-556.
    • (1982) J. Statist. Phys. , vol.28 , pp. 539-556
    • Lebowitz, J.L.1    Spohn, H.2
  • 11
    • 21144481999 scopus 로고
    • Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics
    • LU, S. L. and YAU, H. T. (1993). Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics. Comm. Math. Phys. 156 399-433.
    • (1993) Comm. Math. Phys. , vol.156 , pp. 399-433
    • Lu, S.L.1    Yau, H.T.2
  • 13
    • 84990628122 scopus 로고
    • Diffusion of color in the simple exclusion process
    • QUASTEL, J. (1992). Diffusion of color in the simple exclusion process. Comm. Pure Appl. Math. 45 623-679.
    • (1992) Comm. Pure Appl. Math. , vol.45 , pp. 623-679
    • Quastel, J.1
  • 14
    • 0040261379 scopus 로고
    • Interaction of Markov processes
    • SPITZER, F. (1970). Interaction of Markov processes. Adv. Math. 5 142-154.
    • (1970) Adv. Math. , vol.5 , pp. 142-154
    • Spitzer, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.