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초록· 키워드
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In this paper, we prove that the topological entropy of a sequence
of equi-continuous monotone maps
$f_{1,\infty}=\{f_i\}_{i=1}^{\infty}\;$ on circles is
$\;h(f_{1,\infty})=\limsup\limits_{n\rightarrow\infty}\frac{1}{n}\log\prod\limits_
{i=1}^{n}|\deg f_{i}|.$ As applications, we give the estimation of
the entropies for some skew products on annular and torus. We also
show that a diffeomorphism $f$ on a smooth $2$-dimensional closed
manifold and its extension on the unit tangent bundle have the
same entropy.
목차
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참고문헌 (12)
참고문헌 신청
/ 1971 / \it A connection between various entropy characterizations of dynamical systems} : 324 ~
/ 1971 / \it Entropy for group endomorphisms and homogenuous spaces} : 401 ~
/ 1980 / \it Entropy of piecewise monotone mappings} : 45 ~
/ 1982. / \it An introduction to ergodic theory}
/ 1987. / \it The principle of differentiable dynamical systems} The Science Press of China
/ 1971 / \it Entropy for group endomorphisms and homogenuous spaces} : 401 ~
/ 1980 / \it Entropy of piecewise monotone mappings} : 45 ~
/ 1982. / \it An introduction to ergodic theory}
/ 1987. / \it The principle of differentiable dynamical systems} The Science Press of China
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