메뉴 건너뛰기




Volumn 27, Issue 1, 1999, Pages 361-416

Existence of hydrodynamics for the totally asymmetric simple K-exclusion process

Author keywords

Growth model; Hydrodynamic limit; K exclusion process; M M 1 K queues in series; Marching soldiers model; Quenched disorder; Subadditive process

Indexed keywords


EID: 0033243145     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1022677266     Document Type: Article
Times cited : (83)

References (42)
  • 1
    • 51249162954 scopus 로고
    • Hammersley's interacting particle process and longest increasing subsequences
    • ALDOUS, D. and DIACONIS, P. (1995). Hammersley's interacting particle process and longest increasing subsequences. Probab. Theory Related Fields 103 199-213.
    • (1995) Probab. Theory Related Fields , vol.103 , pp. 199-213
    • Aldous, D.1    Diaconis, P.2
  • 2
    • 0000669932 scopus 로고
    • Invariant measures for the zero range process
    • ANDJEL, E. (1982). Invariant measures for the zero range process. Ann. Probab. 10 525-547.
    • (1982) Ann. Probab. , vol.10 , pp. 525-547
    • Andjel, E.1
  • 3
    • 0001324581 scopus 로고
    • On Hopf's formulas for solutions of Hamilton-Jacobi equations
    • BARDI, M. and EVANS, L. C. (1984). On Hopf's formulas for solutions of Hamilton-Jacobi equations. Nonlinear Anal. 8 1373-1381.
    • (1984) Nonlinear Anal. , vol.8 , pp. 1373-1381
    • Bardi, M.1    Evans, L.C.2
  • 5
    • 0031184716 scopus 로고    scopus 로고
    • Hydrodynamic limit for particle systems with nonconstant speed parameter
    • COVERT, P. and REZAKHANLOU, F. (1997). Hydrodynamic limit for particle systems with nonconstant speed parameter. J. Statist. Phys. 88 383-426.
    • (1997) J. Statist. Phys. , vol.88 , pp. 383-426
    • Covert, P.1    Rezakhanlou, F.2
  • 13
    • 0000102847 scopus 로고
    • Some min-max methods for the Hamilton-Jacobi equation
    • EVANS, L. C. (1984). Some min-max methods for the Hamilton-Jacobi equation. Indiana Univ. Math. J. 33 31-50.
    • (1984) Indiana Univ. Math. J. , vol.33 , pp. 31-50
    • Evans, L.C.1
  • 14
    • 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 Transitions (G. Grimmett, ed.) 35-48. Kluwer, Dordrecht.
    • (1994) Probability and Phase Transitions , pp. 35-48
    • Ferrari, P.A.1
  • 15
  • 16
    • 0001649144 scopus 로고
    • Departures from many queues in a series
    • GLYNN, P. W. and WHITT, W. (1991). Departures from many queues in a series. Ann. Appl. Probab. 1 546-572.
    • (1991) Ann. Appl. Probab. , vol.1 , pp. 546-572
    • Glynn, P.W.1    Whitt, W.2
  • 19
    • 0001662306 scopus 로고
    • First-passage percolation, network flows and electrical resistances
    • GRIMMETT, G. and KESTEN, H. (1984). First-passage percolation, network flows and electrical resistances. Z. Wahrsch. Verw. Gebiete 66 335-366.
    • (1984) Z. Wahrsch. Verw. Gebiete , vol.66 , pp. 335-366
    • Grimmett, G.1    Kesten, H.2
  • 20
    • 0000073921 scopus 로고
    • Generalized solutions of nonlinear equations of first order
    • HOPF, E. (1965). Generalized solutions of nonlinear equations of first order. J. Math. Mech. 14 951-973.
    • (1965) J. Math. Mech. , vol.14 , pp. 951-973
    • Hopf, E.1
  • 22
    • 0001656464 scopus 로고
    • The ergodic theory of subadditive stochastic processes
    • KINGMAN, J. F. C. (1968). The ergodic theory of subadditive stochastic processes. J. Roy. Statist. Soc. Ser. B 30 499-510.
    • (1968) J. Roy. Statist. Soc. Ser. B , vol.30 , pp. 499-510
    • Kingman, J.F.C.1
  • 23
    • 84990617528 scopus 로고
    • Hydrodynamic limit for a nongradient system: The generalized symmetric exclusion process
    • KIPNIS, C., LANDIM, C. and OLLA, S. (1994). Hydrodynamic limit for a nongradient system: the generalized symmetric exclusion process. Comm. Pure Appl. Math. 47 1475-1545.
    • (1994) Comm. Pure Appl. Math. , vol.47 , pp. 1475-1545
    • Kipnis, C.1    Landim, C.2    Olla, S.3
  • 24
    • 0003067890 scopus 로고
    • Kinetic roughening of growing surfaces
    • (C. Godrèche, ed.) Cambridge Univ. Press
    • KRUG, J. and SPOHN, H. (1991). Kinetic roughening of growing surfaces. In Solids Far from Equilibrium (C. Godrèche, ed.) 479-582. Cambridge Univ. Press.
    • (1991) Solids Far from Equilibrium , pp. 479-582
    • Krug, J.1    Spohn, H.2
  • 25
    • 0030487127 scopus 로고    scopus 로고
    • Hydrodynamical limit for space inhomogeneous one-dimensional totally asymmetric zero-range processes
    • LANDIM, C. (1996). Hydrodynamical limit for space inhomogeneous one-dimensional totally asymmetric zero-range processes. Ann. Probab. 24 599-638.
    • (1996) Ann. Probab. , vol.24 , pp. 599-638
    • Landim, C.1
  • 26
    • 84980077727 scopus 로고
    • Hyperbolic systems of conservation laws II
    • LAX, P. (1957). Hyperbolic systems of conservation laws II. Comm. Pure Appl. Math. 10 537-566.
    • (1957) Comm. Pure Appl. Math. , vol.10 , pp. 537-566
    • Lax, P.1
  • 29
    • 0000885007 scopus 로고
    • The relation between the porous medium and the eikonal equations in several space dimensions
    • LIONS, P. L., SOUGANIDIS, P. E. and VÁSQUEZ, J. L. (1987). The relation between the porous medium and the eikonal equations in several space dimensions. Rev. Mat. Iberoamericana 3 275-310.
    • (1987) Rev. Mat. Iberoamericana , vol.3 , pp. 275-310
    • Lions, P.L.1    Souganidis, P.E.2    Vásquez, J.L.3
  • 32
    • 33645840905 scopus 로고
    • Non-equilibrium behaviour of a many particle process: Density profile and local equilibrium
    • ROST, H. (1981). Non-equilibrium behaviour of a many particle process: density profile and local equilibrium. Z. Wahrsch. Verw. Gebiete 58 41-53.
    • (1981) Z. Wahrsch. Verw. Gebiete , vol.58 , pp. 41-53
    • Rost, H.1
  • 33
    • 3042554249 scopus 로고    scopus 로고
    • A microscopic model for the Burgers equation and longest increasing subsequences
    • Paper 5
    • SEPPÄLÄINEN, T. (1996). A microscopic model for the Burgers equation and longest increasing subsequences. Electron. J. Probab. 1 Paper 5 1-51.
    • (1996) Electron. J. Probab. , vol.1 , pp. 1-51
    • Seppäläinen, T.1
  • 34
    • 0031260678 scopus 로고    scopus 로고
    • A scaling limit for queues in series
    • SEPPÄLÄINEN, T. (1997a). A scaling limit for queues in series. Ann. Appl. Probab. 7 855-872.
    • (1997) Ann. Appl. Probab. , vol.7 , pp. 855-872
    • Seppäläinen, T.1
  • 35
    • 0031260675 scopus 로고    scopus 로고
    • Increasing sequences of independent points on the planar lattice
    • SEPPÄLÄINEN, T. (1997b). Increasing sequences of independent points on the planar lattice. Ann. Appl. Probab. 7 886-898.
    • (1997) Ann. Appl. Probab. , vol.7 , pp. 886-898
    • Seppäläinen, T.1
  • 36
    • 0032361582 scopus 로고    scopus 로고
    • Exact limiting shape for a simplified model of first-passage percolation on the plane
    • SEPPÄLÄINEN, T. (1998a). Exact limiting shape for a simplified model of first-passage percolation on the plane. Ann. Probab. 26 1232-1250.
    • (1998) Ann. Probab. , vol.26 , pp. 1232-1250
    • Seppäläinen, T.1
  • 37
    • 0032188524 scopus 로고    scopus 로고
    • Large deviations for increasing sequences on the plane
    • SEPPÄLÄINEN, T. (1998b). Large deviations for increasing sequences on the plane. Probab. Theory Related Fields. 112 221-244.
    • (1998) Probab. Theory Related Fields , vol.112 , pp. 221-244
    • Seppäläinen, T.1
  • 38
    • 0032188524 scopus 로고    scopus 로고
    • Coupling the totally asymmetric simple exclusion process with a moving interface
    • SEPPÄLÄINEN, T. (1998c). Coupling the totally asymmetric simple exclusion process with a moving interface. Markov Process. Related Fields 112 221-244.
    • (1998) Markov Process. Related Fields , vol.112 , pp. 221-244
    • Seppäläinen, T.1
  • 39
    • 0009290642 scopus 로고    scopus 로고
    • Hydrodynamics and platoon formation for a totally asymmetric exclusion model with particlewise disorder
    • To appear
    • SEPPÄLÄINEN, T. and KRUG, J. (1998). Hydrodynamics and platoon formation for a totally asymmetric exclusion model with particlewise disorder. J. Statist. Phys. To appear.
    • (1998) J. Statist. Phys.
    • Seppäläinen, T.1    Krug, J.2
  • 42


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.