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Volumn 33, Issue 4, 2005, Pages 1235-1254

Competition interfaces and second class particles

Author keywords

Asymmetric simple exclusion; Burgers equation; Competition interface; Last passage percolation; Rarefaction fan; Second class particle

Indexed keywords


EID: 23244466037     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/009117905000000080     Document Type: Review
Times cited : (109)

References (23)
  • 1
    • 0010747984 scopus 로고
    • Hydrodynamical limit for the asymmetric simple exclusion process
    • BENASSI, A. and FOUQUE, J.-P. (1987). Hydrodynamical limit for the asymmetric simple exclusion process. Ann. Probab. 15 546-560.
    • (1987) Ann. Probab. , vol.15 , pp. 546-560
    • Benassi, A.1    Fouque, J.-P.2
  • 2
    • 0000393829 scopus 로고
    • Density and uniqueness in percolation
    • BURTON, R. and KEANE, M. (1989). Density and uniqueness in percolation. Comm. Math. Phys. 121 501-505.
    • (1989) Comm. Math. Phys. , vol.121 , pp. 501-505
    • Burton, R.1    Keane, M.2
  • 3
    • 0039231000 scopus 로고
    • On the interface between two growing Eden clusters
    • DERRIDA, B. and DICKMAN, R. (1991). On the interface between two growing Eden clusters. J. Phys. A 24 L191-193. Available at http://stacks.iop.org/ JPhysA/24/L191.
    • (1991) J. Phys. A , vol.24
    • Derrida, B.1    Dickman, R.2
  • 4
    • 0002191939 scopus 로고
    • Shock fluctuations in asymmetric simple exclusion
    • FERRARI, P. A. (1992). Shock fluctuations in asymmetric simple exclusion. Probab. Theory Related Fields 91 81-101.
    • (1992) Probab. Theory Related Fields , vol.91 , pp. 81-101
    • Ferrari, P.A.1
  • 5
    • 0002827497 scopus 로고
    • Shocks in one-dimensional processes with drift
    • (G. Grimmett, ed.). Kluwer, Dordrecht
    • FERRARI, P. A. (1994). Shocks in one-dimensional processes with drift. In Probability and Phase Transition (G. Grimmett, ed.) 420 35-48. Kluwer, Dordrecht.
    • (1994) Probability and Phase Transition , vol.420 , pp. 35-48
    • Ferrari, P.A.1
  • 6
    • 0001054291 scopus 로고
    • Second class particles in the rarefaction front
    • FERRARI, P. A. and KIPNIS, C. (1995). Second class particles in the rarefaction front. Ann. Inst. H. Poincaré 31 143-154.
    • (1995) Ann. Inst. H. Poincaré , vol.31 , pp. 143-154
    • Ferrari, P.A.1    Kipnis, C.2
  • 8
    • 0040042058 scopus 로고    scopus 로고
    • First-passage percolation and a model for competing spatial growth
    • HÄGGSTROM, O. and PEMANTLE, R. (1998). First-passage percolation and a model for competing spatial growth. J. Appl. Probab. 35 683-692.
    • (1998) J. Appl. Probab. , vol.35 , pp. 683-692
    • Häggstrom, O.1    Pemantle, R.2
  • 9
    • 0035537282 scopus 로고    scopus 로고
    • Geodesics and spanning trees for Euclidean first-passage percolation
    • HOWARD, C. D. and NEWMAN, C. M. (2001). Geodesics and spanning trees for Euclidean first-passage percolation. Ann. Probab. 29 577-623.
    • (2001) Ann. Probab. , vol.29 , pp. 577-623
    • Howard, C.D.1    Newman, C.M.2
  • 10
    • 0030514141 scopus 로고    scopus 로고
    • Geodesics in two dimension first-passage percolation
    • LICEA, C. and NEWMAN, C. M. (1996). Geodesics in two dimension first-passage percolation. Ann. Probab. 24 399-410.
    • (1996) Ann. Probab. , vol.24 , pp. 399-410
    • Licea, C.1    Newman, C.M.2
  • 13
    • 23244442746 scopus 로고    scopus 로고
    • MARTIN, J. (2004). Unpublished manuscript
    • MARTIN, J. (2004). Unpublished manuscript.
  • 14
    • 21244465579 scopus 로고    scopus 로고
    • The motion of a second class particle for the TASEP starting from a decreasing shok profile
    • MOUNTFORD, T. and GUIOL, H. (2005). The motion of a second class particle for the TASEP starting from a decreasing shok profile. Ann. Appl. Probab. 15 1227-1259.
    • (2005) Ann. Appl. Probab. , vol.15 , pp. 1227-1259
    • Mountford, T.1    Guiol, H.2
  • 15
    • 0003379835 scopus 로고
    • A surface view of first-passage percolation
    • (S. D. Chatterji, ed.). Birkhäuser, Basel
    • NEWMAN, C. M. (1995). A surface view of first-passage percolation. In Proceedings of International Congress of Mathematicians 1994 (S. D. Chatterji, ed.) 2 1017-1023. Birkhäuser, Basel.
    • (1995) Proceedings of International Congress of Mathematicians 1994 , vol.2 , pp. 1017-1023
    • Newman, C.M.1
  • 18
  • 19
    • 33645840905 scopus 로고
    • Nonequilibrium behaviour of a many particle process: Density profile and local equilibria
    • ROST, H. (1981). Nonequilibrium behaviour of a many particle process: Density profile and local equilibria. Z. Wahrsch. Verw. Gebiete 58 41-53.
    • (1981) Z. Wahrsch. Verw. Gebiete , vol.58 , pp. 41-53
    • Rost, H.1
  • 20
    • 0001257680 scopus 로고    scopus 로고
    • Coupling the totally asymmetric simple exclusion process with a moving interface
    • SEPPÄLÄINEN, T. (1998). Coupling the totally asymmetric simple exclusion process with a moving interface. Markov Process. Related Fields 4 593-628.
    • (1998) Markov Process. Related Fields , vol.4 , pp. 593-628
    • Seppäläinen, T.1
  • 21
    • 23044530396 scopus 로고    scopus 로고
    • Second class particles as microscopic characteristics in totally asymmetric nearest-neighbor K-exclusion processes
    • SEPPÄLÄINEN, T. (2001). Second class particles as microscopic characteristics in totally asymmetric nearest-neighbor K-exclusion processes. Trans. Amer. Math. Soc. 353 4801-4829.
    • (2001) Trans. Amer. Math. Soc. , vol.353 , pp. 4801-4829
    • Seppäläinen, T.1
  • 22
    • 51249165477 scopus 로고
    • Concentration of measure and isoperimetric inequalities in product spaces
    • TALAGRAND, M. (1995). Concentration of measure and isoperimetric inequalities in product spaces. Inst. Hautes Études Sci. Publ. Math. 81 73-205.
    • (1995) Inst. Hautes Études Sci. Publ. Math. , vol.81 , pp. 73-205
    • Talagrand, M.1
  • 23
    • 84881540508 scopus 로고    scopus 로고
    • Asymptotic behavior of semi-infinite geodesics for maximal increasing subsequences in the plane
    • (V. Sidoravicius, ed.). Birkhäuser, Basel
    • WÜTHRICH, M. V. (2000). Asymptotic behavior of semi-infinite geodesics for maximal increasing subsequences in the plane. In In and Out of Equilibrium (V. Sidoravicius, ed.) 205-226. Birkhäuser, Basel.
    • (2000) In and out of Equilibrium , pp. 205-226
    • Wüthrich, M.V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.