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Volumn 9, Issue 6, 2003, Pages 1423-1446

Uniform Bernoulli measure in dynamics of permutative cellular automata with algebraic local rules

Author keywords

Chains with complete connections; Permutative cellular automata; Uniform Bernoulli measure

Indexed keywords


EID: 0346283254     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.2003.9.1423     Document Type: Article
Times cited : (29)

References (25)
  • 1
    • 0000226333 scopus 로고    scopus 로고
    • Dynamical properties of expansive one-sided cellular automata
    • F. Blanchard, A. Maass, Dynamical properties of expansive one-sided cellular automata, Israel J. Math. 99 (1997), 149-174.
    • (1997) Israel J. Math. , vol.99 , pp. 149-174
    • Blanchard, F.1    Maass, A.2
  • 2
    • 0041684297 scopus 로고    scopus 로고
    • Some properties of cellular automata with equicontinuity points
    • F. Blanchard, P. Tisseur, Some properties of cellular automata with equicontinuity points, Ann. Inst. H. Poincaré Probab. Statist. 36 (2000), no. 5, 569-582.
    • (2000) Ann. Inst. H. Poincaré Probab. Statist. , vol.36 , Issue.5 , pp. 569-582
    • Blanchard, F.1    Tisseur, P.2
  • 5
    • 33646727744 scopus 로고
    • Disjointness in ergodic theory, minimal sets, and a problem in Diophantine approximation
    • H. Furstenberg, Disjointness in ergodic theory, minimal sets, and a problem in Diophantine approximation, Math. Systems Theory 1 (1967), 1-49.
    • (1967) Math. Systems Theory , vol.1 , pp. 1-49
    • Furstenberg, H.1
  • 6
    • 0345951618 scopus 로고
    • Recurrence in ergodic theory and combinatorial number theory
    • Princeton University Press, Princeton, N.J
    • H. Furstenberg, Recurrence in ergodic theory and combinatorial number theory, M. B. Porter Lectures, Princeton University Press, Princeton, N.J., 1981.
    • (1981) M. B. Porter Lectures
    • Furstenberg, H.1
  • 7
    • 0034361235 scopus 로고    scopus 로고
    • Cesàro mean distribution of group automata starting from measures with summable decay
    • P. Ferrari, A. Maass, S. Martínez, P. Ney, Cesàro mean distribution of group automata starting from measures with summable decay, Ergodic Theory Dynam. Systems 20 (2000), no. 6, 1657-1670.
    • (2000) Ergodic Theory Dynam. Systems , vol.20 , Issue.6 , pp. 1657-1670
    • Ferrari, P.1    Maass, A.2    Martínez, S.3    Ney, P.4
  • 8
    • 0034406172 scopus 로고    scopus 로고
    • Construction of weakly mixing diffeomorphisms preserving measurable Riemannian metric and smooth measure
    • With an appendix by Alex Furman
    • R. Gunesch, A. Katok, Construction of weakly mixing diffeomorphisms preserving measurable Riemannian metric and smooth measure. With an appendix by Alex Furman, Discrete Contin. Dynam. Systems 6 (2000), no. 1, 61-88.
    • (2000) Discrete Contin. Dynam. Systems , vol.6 , Issue.1 , pp. 61-88
    • Gunesch, R.1    Katok, A.2
  • 9
    • 0034417736 scopus 로고    scopus 로고
    • Some results of uniform distribution in the multidimensional torus
    • B. Host, Some results of uniform distribution in the multidimensional torus, Ergodic Theory Dynam. Systems 20 (2000), no. 2, 439-452.
    • (2000) Ergodic Theory Dynam. Systems , vol.20 , Issue.2 , pp. 439-452
    • Host, B.1
  • 11
    • 0030520144 scopus 로고    scopus 로고
    • Invariant measures for higher-rank hyperbolic abelian actions
    • A. Katok, R. J. Spatzier, Invariant measures for higher-rank hyperbolic abelian actions, Ergodic Theory Dynam. Systems 16 (1996), no. 4, 751-778.
    • (1996) Ergodic Theory Dynam. Systems , vol.16 , Issue.4 , pp. 751-778
    • Katok, A.1    Spatzier, R.J.2
  • 12
    • 0345914003 scopus 로고    scopus 로고
    • Corrections to: Invariant measures for higher-rank hyperbolic abelian actions (Ergodic Theory Dynam. Systems 16 (1996), no. 4, 751-778)
    • A. Katok, R. J. Spatzier, Corrections to: Invariant measures for higher-rank hyperbolic abelian actions (Ergodic Theory Dynam. Systems 16 (1996), no. 4, 751-778), Ergodic Theory Dynam. Systems 18 (1998), no. 2, 503-507.
    • (1998) Ergodic Theory Dynam. Systems , vol.18 , Issue.2 , pp. 503-507
    • Katok, A.1    Spatzier, R.J.2
  • 13
    • 0030501322 scopus 로고    scopus 로고
    • Hyperbolic measures and commuting maps in low dimension
    • A. Katok, Hyperbolic measures and commuting maps in low dimension, Discrete Contin. Dynam. Systems 2 (1996), no. 3, 397-411.
    • (1996) Discrete Contin. Dynam. Systems , vol.2 , Issue.3 , pp. 397-411
    • Katok, A.1
  • 14
    • 0040238246 scopus 로고    scopus 로고
    • Languages, equicontinuity and attractors in cellular automata
    • P. Kůrka, Languages, equicontinuity and attractors in cellular automata, Ergodic Theory Dynam. Systems 17 (1997), no. 2, 417-433.
    • (1997) Ergodic Theory Dynam. Systems , vol.17 , Issue.2 , pp. 417-433
    • Kůrka, P.1
  • 15
    • 0020496144 scopus 로고
    • Applications of ergodic theory and sofic systems to cellular automata, Cellular automata (Los Alamos, N.M., 1983)
    • D. Lind, Applications of ergodic theory and sofic systems to cellular automata, Cellular automata (Los Alamos, N.M., 1983), Phys. D 10 (1984), no. 1-2, 36-44.
    • (1984) Phys. D , vol.10 , Issue.1-2 , pp. 36-44
    • Lind, D.1
  • 17
    • 0002796533 scopus 로고
    • Sur les congruences des nombres Eulériens et des coefficients différentiels des fonctions trigonométriques, suivant un module premier
    • E. Lucas, Sur les congruences des nombres Eulériens et des coefficients différentiels des fonctions trigonométriques, suivant un module premier, Bulletin de la Soc. Math. de France 6, (1878) 49-54.
    • (1878) Bulletin de la Soc. Math. de France , vol.6 , pp. 49-54
    • Lucas, E.1
  • 18
    • 0031618894 scopus 로고    scopus 로고
    • On Cesàro limit distribution of a class of permutative cellular automata
    • A. Maass, S. Martínez, On Cesàro limit distribution of a class of permutative cellular automata, J. Statist. Phys. 90 (1998), no. 1-2, 435-452.
    • (1998) J. Statist. Phys. , vol.90 , Issue.1-2 , pp. 435-452
    • Maass, A.1    Martínez, S.2
  • 19
    • 0031123111 scopus 로고    scopus 로고
    • Quasi Linear Cellular Automata, Lattice dynamics (Paris, 1995)
    • C. Moore, Quasi Linear Cellular Automata, Lattice dynamics (Paris, 1995), Phys. D 103 (1997), no. 1-4, 100-132.
    • (1997) Phys. D , vol.103 , Issue.1-4 , pp. 100-132
    • Moore, C.1
  • 20
    • 0036687181 scopus 로고    scopus 로고
    • Limit measures for affine cellular automata
    • M. Pivato, R. Yassawi, Limit measures for affine cellular automata, Ergodic Theory Dynam. Systems 22 (2002), no. 4, 1269-1287.
    • (2002) Ergodic Theory Dynam. Systems , vol.22 , Issue.4 , pp. 1269-1287
    • Pivato, M.1    Yassawi, R.2
  • 22
    • 84972113917 scopus 로고
    • ×2 and ×3 invariant measures and entropy
    • D. J. Rudolph, ×2 and ×3 invariant measures and entropy, Ergodic Theory Dynam. Systems 10 (1990), no. 2, 395-406.
    • (1990) Ergodic Theory Dynam. Systems , vol.10 , Issue.2 , pp. 395-406
    • Rudolph, D.J.1
  • 23
    • 0012491921 scopus 로고    scopus 로고
    • d-actions, Smooth ergodic theory and its applications (Seattle, WA, 1999)
    • Amer. Math. Soc., Providence, RI
    • d-actions, Smooth ergodic theory and its applications (Seattle, WA, 1999), 661-676, Proc. Sympos. Pure Math., 69, Amer. Math. Soc., Providence, RI, 2001.
    • (2001) Proc. Sympos. Pure Math. , vol.69 , pp. 661-676
    • Schmidt, K.1
  • 25
    • 0037254423 scopus 로고    scopus 로고
    • Rigidity of partially hyperbolic actions of property (T) groups
    • A. Torok, Rigidity of partially hyperbolic actions of property (T) groups, Discrete Contin. Dyn. Syst. 9 (2003), no. 1, 193-208.
    • (2003) Discrete Contin. Dyn. Syst. , vol.9 , Issue.1 , pp. 193-208
    • Torok, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.