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Volumn 53, Issue 8, 2000, Pages 972-1006

Diffusive limit of a tagged particle in asymmetric simple exclusion processes

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EID: 0034408939     PISSN: 00103640     EISSN: None     Source Type: Journal    
DOI: 10.1002/1097-0312(200008)53:8<972::aid-cpa2>3.0.co;2-#     Document Type: Article
Times cited : (64)

References (11)
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    • Arratia, R.1
  • 2
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    • Esposito, R.; Marra, R.; Yau, H. T. Navier-Stokes equations for stochastic particle systems on the lattice. Comm. Math. Phys. 182 (1996), no. 2, 395-456.
    • (1996) Comm. Math. Phys. , vol.182 , Issue.2 , pp. 395-456
    • Esposito, R.1    Marra, R.2    Yau, H.T.3
  • 3
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    • Central limit theorems for martingales with discrete or continuous time
    • Helland, I. S. Central limit theorems for martingales with discrete or continuous time. Scand. J. Statist. 9 (1982), no. 2, 79-94.
    • (1982) Scand. J. Statist. , vol.9 , Issue.2 , pp. 79-94
    • Helland, I.S.1
  • 4
    • 0039827698 scopus 로고    scopus 로고
    • Hydrodynamical scaling limits of simple exclusion models
    • IAS/Park City Math. Ser., 6. Amer. Math. Soc., Providence, R.I.
    • Jensen, L.; Yau, H.-T. Hydrodynamical scaling limits of simple exclusion models. Probability theory and applications (Princeton, N.J., 1996), 167-225. IAS/Park City Math. Ser., 6. Amer. Math. Soc., Providence, R.I., 1999.
    • (1999) Probability Theory and Applications (Princeton, N.J., 1996) , pp. 167-225
    • Jensen, L.1    Yau, H.-T.2
  • 5
    • 0000061720 scopus 로고
    • Central limit theorems for infinite series of queues and applications to simple exclusion
    • Kipnis, C. Central limit theorems for infinite series of queues and applications to simple exclusion. Ann. Probab. 14 (1986), no. 2, 397-408.
    • (1986) Ann. Probab. , vol.14 , Issue.2 , pp. 397-408
    • Kipnis, C.1
  • 6
    • 34250130646 scopus 로고
    • Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions
    • Kipnis, C.; Varadhan, S. R. S. Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions. Comm. Math. Phys. 104 (1986), no. 1, 1-19.
    • (1986) Comm. Math. Phys. , vol.104 , Issue.1 , pp. 1-19
    • Kipnis, C.1    Varadhan, S.R.S.2
  • 7
    • 0031184915 scopus 로고    scopus 로고
    • Fluctuation-dissipation equation of asymmetric simple exclusion processes
    • Landim, C.; Yau, H. T. Fluctuation-dissipation equation of asymmetric simple exclusion processes. Probab. Theory Related Fields 108 (1997), no. 3, 321-356.
    • (1997) Probab. Theory Related Fields , vol.108 , Issue.3 , pp. 321-356
    • Landim, C.1    Yau, H.T.2
  • 9
    • 0000528853 scopus 로고
    • A limit theorem for the position of a tagged particle in a simple exclusion process
    • Saada, E. A limit theorem for the position of a tagged particle in a simple exclusion process. Ann. Probab. 15 (1987), no. 1, 375-381.
    • (1987) Ann. Probab. , vol.15 , Issue.1 , pp. 375-381
    • Saada, E.1
  • 10
    • 0000240984 scopus 로고
    • Regularity of self-diffusion coefficient
    • The Dynkin Festschrift, Birkhäuser Boston, Boston
    • Varadhan, S. R. S. Regularity of self-diffusion coefficient. The Dynkin Festschrift, 387-397. Progr. Probab., 34. Birkhäuser Boston, Boston, 1994.
    • (1994) Progr. Probab. , vol.34 , pp. 387-397
    • Varadhan, S.R.S.1
  • 11
    • 0000631918 scopus 로고
    • Self-diffusion of a tagged particle in equilibrium for asymmetric mean zero random walk with simple exclusion
    • Varadhan, S. R. S. Self-diffusion of a tagged particle in equilibrium for asymmetric mean zero random walk with simple exclusion. Ann. Inst. H. Poincaré Probab. Statist. 31 (1995), no. 1, 273-285.
    • (1995) Ann. Inst. H. Poincaré Probab. Statist. , vol.31 , Issue.1 , pp. 273-285
    • Varadhan, S.R.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.