대한수학회지 (Journal of the Korean Mathematical Society)

  • 제41권6호
  • /
  • Pages.1087-1099
  • /
  • 2004
  • /
  • 0304-9914(pISSN)
  • /
  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
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METRICAL AND TOPOLOGICAL PRESSURE OF FLOWS WITHOUT FIXED POINTS

  • Lianfa He (Department of Mathematics Hebei normal University) ;
  • Fenghong Yang (Department of Mathematics Sciences Tsinghua University) ;
  • Yinghui Gao (Academy of Mathematics and System Sciences Chinese Academy of Sciences)
  • 발행 : 2004.11.01
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초록

We study the metrical and topological pressure for flows without fixed points on a compact metric space, and get the results as follows: (1) The metrical pressure with respect to an ergodic measure can be defined by (t, $\varepsilon$)-spanning sets. (2) The topological pressure is the supremum of metrical pressures with respect to all ergodic measures. (3) The properties that the topological pressure is zero, nonzero, finite or infinite respectively are invariant under weak equivalence.

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참고문헌

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피인용 문헌

  1. Pressures for flows on arbitrary subsets vol.90, 2013, https://doi.org/10.1016/j.na.2013.05.025