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Original Articles

Weak mixing implies mixing for maps on topological graphs

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Pages 1071-1080 | Received 25 Mar 2004, Accepted 09 Aug 2005, Published online: 16 Aug 2006

References

  • Alsedà , L. , del Río , M.A. and Rodríguez , A. 2003 . Transitivity and dense periodicity for graph maps . Journal of Difference Equations and Applications , 9 : 577 – 598 .
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  • Banks , J. Regular periodic decompositions for topologically transitive maps . Ph.D Thesis . La Trobe University, Australia .
  • Banks , J. 1997 . Regular periodic decompositions for topologically transitive maps . Ergodic Theory and Dynamical Systems , 17 : 505 – 529 .
  • Crannell , A. 1995 . The role of transitivity in Devaney's definition of chaos . American Mathematical Monthly , 102 : 788 – 797 .
  • Furstenberg , H. 1967 . Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation . Mathematical Systems Theory , 1 : 1 – 8 .
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  • Mañé , R. 1987 . Ergodic Theory and Differentiable Dynamics , Berlin : Springer .
  • Silverman , S. 1992 . On maps with dense orbits and the definition of chaos . Rocky Mountain Journal of Mathematics , 22 ( 1 ) : 353 – 375 .
  • Stacey, P. Unpublished, 1992.

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