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Volumn 111, Issue 3-4, 2003, Pages 903-930

Ergodic Properties of a Simple Deterministic Traffic Flow Model

Author keywords

Attractor; Dynamical system; Large deviations; Rate of convergence; Substitution dynamics; Traffic flow

Indexed keywords


EID: 0037231884     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022806500731     Document Type: Article
Times cited : (22)

References (15)
  • 1
    • 21844501699 scopus 로고
    • Ballistic annihilation and deterministic surface growth
    • V. Belitsky and P. A. Ferrari, Ballistic annihilation and deterministic surface growth, J. Stat. Phys. 80:517-543 (1995).
    • (1995) J. Stat. Phys. , vol.80 , pp. 517-543
    • Belitsky, V.1    Ferrari, P.A.2
  • 3
    • 0004595477 scopus 로고    scopus 로고
    • Variational principles in the analysis of traffic flows. (Why it is worth to go against the flow)
    • M. Blank, Variational principles in the analysis of traffic flows. (Why it is worth to go against the flow), Markov Process. Related Fields 6:287-304 (2000).
    • (2000) Markov Process. Related Fields , vol.6 , pp. 287-304
    • Blank, M.1
  • 4
    • 0347864753 scopus 로고    scopus 로고
    • Dynamics of traffic jams: Order and chaos
    • M. Blank, Dynamics of traffic jams: Order and chaos, Moscow Math. J. 1:1-26 (2001).
    • (2001) Moscow Math. J. , vol.1 , pp. 1-26
    • Blank, M.1
  • 5
    • 0001405969 scopus 로고    scopus 로고
    • Statistical physics of vehicular traffic and some related systems
    • D. Chowdhury, L. Santen, and A. Schadschneider, Statistical physics of vehicular traffic and some related systems, Phys. Rep. 329:199-329 (2000).
    • (2000) Phys. Rep. , vol.329 , pp. 199-329
    • Chowdhury, D.1    Santen, L.2    Schadschneider, A.3
  • 7
    • 0031256231 scopus 로고    scopus 로고
    • Shock profiles for the asymmetric simple exclusion process in one dimension
    • B. Derrida, J. L. Lebowitz, and E. R. Speer, Shock profiles for the asymmetric simple exclusion process in one dimension, J. Stat. Phys. 89:135-166 (1997).
    • (1997) J. Stat. Phys. , vol.89 , pp. 35-166
    • Derrida, B.1    Lebowitz, J.L.2    Speer, E.R.3
  • 8
    • 0032607474 scopus 로고    scopus 로고
    • Exact results for deterministic cellular automata traffic models
    • H. Fuks, Exact results for deterministic cellular automata traffic models, Phys. Rev. E 60:197-202 (1999).
    • (1999) Phys. Rev. E , vol.60 , pp. 197-202
    • Fuks, H.1
  • 9
    • 0035498174 scopus 로고    scopus 로고
    • The ergodic theory of traffic jams
    • L. Gray and D. Griffeath, The ergodic theory of traffic jams, J. Stat. Phys. 105:413-452 (2001).
    • (2001) J. Stat. Phys. , vol.105 , pp. 413-452
    • Gray, L.1    Griffeath, D.2
  • 10
    • 0001592733 scopus 로고
    • Universality classes for deterministic surface growth
    • J. Krug and H. Spohn, Universality classes for deterministic surface growth, Phys. Rev. A 38:4271-4283 (1988).
    • (1988) Phys. Rev. A , vol.38 , pp. 4271-4283
    • Krug, J.1    Spohn, H.2
  • 12
    • 34250112778 scopus 로고
    • On the concept of attractor
    • J. Milnor, On the concept of attractor, Comm. Math. Phys. 99:177-195 (1985).
    • (1985) Comm. Math. Phys. , vol.99 , pp. 177-195
    • Milnor, J.1
  • 13
    • 43949174613 scopus 로고
    • Deterministic models for traffic jams
    • K. Nagel and H. J. Herrmann, Deterministic models for traffic jams, Physica A 199:254-269 (1993).
    • (1993) Physica A , vol.199 , pp. 254-269
    • Nagel, K.1    Herrmann, H.J.2
  • 14
    • 0001232636 scopus 로고
    • A cellular automaton model for freeway traffic
    • K. Nagel and M. Schreckenberg, A cellular automaton model for freeway traffic, J. Physique I 2:2221-2229 (1992).
    • (1992) J. Physique I , vol.2 , pp. 2221-2229
    • Nagel, K.1    Schreckenberg, M.2
  • 15
    • 0032546711 scopus 로고    scopus 로고
    • Analytical properties of ultradiscrete Burgers equation and rule-184 cellular automaton
    • K. Nishinari and D. Takahashi, Analytical properties of ultradiscrete Burgers equation and rule-184 cellular automaton, J. Phys. A 31:5439-5450 (1998).
    • (1998) J. Phys. A , vol.31 , pp. 5439-5450
    • Nishinari, K.1    Takahashi, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.