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Volumn 42, Issue 5, 2006, Pages 567-577

Nonequilibrium central limit theorem for a tagged particle in symmetric simple exclusion

Author keywords

Central limit theorem; Hydrodynamic limit; Markov processes

Indexed keywords


EID: 33748867038     PISSN: 02460203     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.anihpb.2005.04.007     Document Type: Article
Times cited : (65)

References (11)
  • 1
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    • Arratia R. The motion of a tagged particle in the simple symmetric exclusion system in Z. Ann. Probab. 11 (1983) 362-373
    • (1983) Ann. Probab. , vol.11 , pp. 362-373
    • Arratia, R.1
  • 3
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    • A. Galves, C. Kipnis, H. Spohn, unpublished manuscript
  • 4
    • 34250130646 scopus 로고
    • Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusion
    • Kipnis C., and Varadhan S.R.S. Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusion. Comm. Math. Phys. 106 (1986) 1-19
    • (1986) Comm. Math. Phys. , vol.106 , pp. 1-19
    • Kipnis, C.1    Varadhan, S.R.S.2
  • 5
    • 0000435295 scopus 로고    scopus 로고
    • Large deviations for the symmetric simple exclusion process in dimension d ≥ 3
    • Quastel J., Rezakhanlou F., and Varadhan S.R.S. Large deviations for the symmetric simple exclusion process in dimension d ≥ 3. Probab. Theory Related Fields 113 (1999) 1-84
    • (1999) Probab. Theory Related Fields , vol.113 , pp. 1-84
    • Quastel, J.1    Rezakhanlou, F.2    Varadhan, S.R.S.3
  • 7
    • 84990671483 scopus 로고
    • Propagation of chaos for symmetric simple exclusion
    • Rezakhanlou F. Propagation of chaos for symmetric simple exclusion. Comm. Pure Appl. Math. XLVII (1994) 943-957
    • (1994) Comm. Pure Appl. Math. , vol.XLVII , pp. 943-957
    • Rezakhanlou, F.1
  • 8
    • 0040060029 scopus 로고
    • Hydrodynamics of a one dimensional nearest neighbor model
    • Rost H., and Vares M.E. Hydrodynamics of a one dimensional nearest neighbor model. Contemp. Math. 41 (1985) 329-342
    • (1985) Contemp. Math. , vol.41 , pp. 329-342
    • Rost, H.1    Vares, M.E.2
  • 9
    • 0034408939 scopus 로고    scopus 로고
    • Diffusive limit of a tagged particle in asymmetric exclusion process
    • Sethuraman S., Varadhan S.R.S., and Yau H.T. Diffusive limit of a tagged particle in asymmetric exclusion process. Comm. Pure Appl. Math. 53 (2000) 972-1006
    • (2000) Comm. Pure Appl. Math. , vol.53 , pp. 972-1006
    • Sethuraman, S.1    Varadhan, S.R.S.2    Yau, H.T.3
  • 10
    • 4244077265 scopus 로고
    • Finite difference methods for linear parabolic equations
    • Ciarlet P.G., and Lions J.L. (Eds), North-Holland
    • Thomée V. Finite difference methods for linear parabolic equations. In: Ciarlet P.G., and Lions J.L. (Eds). Handbook of Numerical Analysis (1990), North-Holland 5-196
    • (1990) Handbook of Numerical Analysis , pp. 5-196
    • Thomée, V.1
  • 11
    • 0000631918 scopus 로고
    • Self diffusion of a tagged particle in equilibrium for asymmetric mean zero random walks with simple exclusion
    • Varadhan S.R.S. Self diffusion of a tagged particle in equilibrium for asymmetric mean zero random walks with simple exclusion. Ann. Inst. H. Poincaré Probab. Statist. 31 (1995) 273-285
    • (1995) Ann. Inst. H. Poincaré Probab. Statist. , vol.31 , pp. 273-285
    • Varadhan, S.R.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.