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Volumn 12, Issue 4, 2005, Pages 723-736

Invariant measures for bipermutative cellular automata

Author keywords

Cellular automata; Endomorphism; Group shift; Invariant measure; Latin square; Permutative; Quasigroup

Indexed keywords


EID: 18144412020     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.2005.12.723     Document Type: Article
Times cited : (16)

References (13)
  • 1
    • 0346283254 scopus 로고    scopus 로고
    • Uniform Bernoulli measure in dynamics of permutative cellular automata with algebraic local rules
    • Bernard Host, Alejandro Maass and Servet Martínez. Uniform Bernoulli measure in dynamics of permutative cellular automata with algebraic local rules. Discrete & Continuous Dynamical Systems, 9(6):1423-1446, 2003.
    • (2003) Discrete & Continuous Dynamical Systems , vol.9 , Issue.6 , pp. 1423-1446
    • Host, B.1    Maass, A.2    Martínez, S.3
  • 3
    • 0000226333 scopus 로고    scopus 로고
    • Dynamical properties of expansive one-sided cellular automata
    • F. Blanchard and A. Maass. Dynamical properties of expansive one-sided cellular automata. Isreal J. Math., 99:149-174, 1997.
    • (1997) Isreal J. Math. , vol.99 , pp. 149-174
    • Blanchard, F.1    Maass, A.2
  • 4
    • 0001072208 scopus 로고
    • Endomorphisms and automorphisms of the shift dynamical systems
    • G. Hedlund. Endomorphisms and automorphisms of the shift dynamical systems. Mathematical System Theory, 3:320-375, 1969.
    • (1969) Mathematical System Theory , vol.3 , pp. 320-375
    • Hedlund, G.1
  • 6
    • 84974289002 scopus 로고
    • Expansive dynamics in zero-dimensional groups
    • Bruce Kitchens. Expansive dynamics in zero-dimensional groups. Ergodic Theory & Dynamical Systems, 7:249-261, 1987.
    • (1987) Ergodic Theory & Dynamical Systems , vol.7 , pp. 249-261
    • Kitchens, B.1
  • 7
    • 21744432266 scopus 로고    scopus 로고
    • Mixing properties of one-dimensional cellular automata
    • June
    • Rune Kleveland. Mixing properties of one-dimensional cellular automata. Proceedings of the AMS, 125(6): 1755-1766, June 1997.
    • (1997) Proceedings of the AMS , vol.125 , Issue.6 , pp. 1755-1766
    • Kleveland, R.1
  • 9
    • 0031123111 scopus 로고    scopus 로고
    • Quasi-linear cellular automata
    • Cris Moore. Quasi-linear cellular automata. Physica D, 103:100-132, 1997.
    • (1997) Physica D , vol.103 , pp. 100-132
    • Moore, C.1
  • 10
    • 0003831421 scopus 로고
    • Cambridge University Press, New York
    • Karl Petersen. Ergodic Theory. Cambridge University Press, New York, 1989.
    • (1989) Ergodic Theory
    • Petersen, K.1
  • 11
    • 0003278272 scopus 로고
    • Quasigroups and loops: Introduction
    • Heldermann Verlag, Berlin
    • Hala O. Pflugfelder. Quasigroups and Loops: Introduction, volume 7 of Sigma Series in Pure Math B. Heldermann Verlag, Berlin, 1990.
    • (1990) Sigma Series in Pure Math B , vol.7
    • Pflugfelder, H.O.1
  • 12
    • 0037210401 scopus 로고    scopus 로고
    • Multiplicative cellular automata on nilpotent groups: Structure, entropy, and asymptotics
    • January
    • M. Pivato. Multiplicative cellular automata on nilpotent groups: Structure, entropy, and asymptotics. Journal of Statistical Physics, 110(1/2):247-267, January 2003.
    • (2003) Journal of Statistical Physics , vol.110 , Issue.1-2 , pp. 247-267
    • Pivato, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.