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Volumn 33, Issue 6, 2005, Pages 2255-2313

Exclusion processes in higher dimensions: Stationary measures and convergence

Author keywords

Exclusion process; Hydrodynamics; Stationary measures

Indexed keywords


EID: 29344448472     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/009117905000000341     Document Type: Article
Times cited : (11)

References (20)
  • 1
    • 0036821609 scopus 로고    scopus 로고
    • Characterization of stationary measures for one-dimensional exclusion processes
    • BRAMSON, M., LIGGETT, T. M. and MOUNTFORD, T. (2002). Characterization of stationary measures for one-dimensional exclusion processes. Ann. Probab. 30 1539-1575.
    • (2002) Ann. Probab. , vol.30 , pp. 1539-1575
    • Bramson, M.1    Liggett, T.M.2    Mountford, T.3
  • 2
    • 0036631309 scopus 로고    scopus 로고
    • Stationary blocking measures for one-dimensional nonzero mean exclusion processes
    • BRAMSON, M. and MOUNTFORD, T. (2002). Stationary blocking measures for one-dimensional nonzero mean exclusion processes. Ann. Probab. 30 1082-1130.
    • (2002) Ann. Probab. , vol.30 , pp. 1082-1130
    • Bramson, M.1    Mountford, T.2
  • 3
    • 0001676354 scopus 로고
    • Sur l'equation de convolution μ= μ * σ
    • CHOQUET, G. and DENY, J. (1960). Sur l'equation de convolution μ= μ * σ. C. R. Acad. Sci. Paris 250 799-801.
    • (1960) C. R. Acad. Sci. Paris , vol.250 , pp. 799-801
    • Choquet, G.1    Deny, J.2
  • 5
    • 0000876869 scopus 로고    scopus 로고
    • Blocking measures for asymmetric exclusion processes via coupling
    • FERRARI, P. A., LEBOWITZ, J. L. and SPEER, E. (2001). Blocking measures for asymmetric exclusion processes via coupling. Bernoulli 7 935-950.
    • (2001) Bernoulli , vol.7 , pp. 935-950
    • Ferrari, P.A.1    Lebowitz, J.L.2    Speer, E.3
  • 7
    • 0037727561 scopus 로고    scopus 로고
    • Extremal reversible measures for the exclusion process
    • JUNG, P. (2003). Extremal reversible measures for the exclusion process. J. Statist. Phys. 112 165-191.
    • (2003) J. Statist. Phys. , vol.112 , pp. 165-191
    • Jung, P.1
  • 9
    • 0000220624 scopus 로고    scopus 로고
    • First order quasilinear equations in several independent variables
    • KRUZKOV, S. N. (1970). First order quasilinear equations in several independent variables. Mat. Sb. 123 228-255.
    • (1970) Mat. Sb. , vol.123 , pp. 228-255
    • Kruzkov, S.N.1
  • 10
    • 0000220624 scopus 로고    scopus 로고
    • English translation
    • (English translation in Math. USSR Sb. 10 217-243.)
    • Math. USSR Sb. , vol.10 , pp. 217-243
  • 13
    • 0000722373 scopus 로고
    • Random invariant measures for Markov chains and independent particle systems
    • LIGGETT, T. M. (1978). Random invariant measures for Markov chains and independent particle systems. Z. Wahrsch. Verw. Gebiete 45 297-313.
    • (1978) Z. Wahrsch. Verw. Gebiete , vol.45 , pp. 297-313
    • Liggett, T.M.1
  • 16
    • 0002281210 scopus 로고
    • Discontinuous solutions of nonlinear differential equations
    • OLEINIK, O. A. (1957). Discontinuous solutions of nonlinear differential equations. Uspekhi Mat. Nauk (N.S.) 12 3-73. [
    • (1957) Uspekhi Mat. Nauk (N.S.) , vol.12 , pp. 3-73
    • Oleinik, O.A.1
  • 17
    • 0003193818 scopus 로고
    • English translation
    • English translation in Amer. Math. Soc. Transl. Ser. (2) 26 (1963) 95-172.
    • (1963) Amer. Math. Soc. Transl. Ser. , vol.26 , Issue.2 , pp. 95-172
  • 20
    • 0040261379 scopus 로고
    • Interaction of Markov processes
    • SPITZER, F. (1970). Interaction of Markov processes. Adv. Math. 5 246-290.
    • (1970) Adv. Math. , vol.5 , pp. 246-290
    • Spitzer, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.