On t-entropy and variational principle for the spectral radius of weighted shift operators
2009 ◽
Vol 30
(5)
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pp. 1331-1342
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Keyword(s):
AbstractIn this paper we introduce a new functional invariant of discrete time dynamical systems—the so-called t-entropy. The main result is that this t-entropy is the Legendre dual functional to the logarithm of the spectral radius of the weighted shift operator on L1(X,m) generated by the dynamical system. This result is called the variational principle and is similar to the classical variational principle for the topological pressure.
2013 ◽
Vol 23
(01)
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pp. 1350010
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2010 ◽
Vol 31
(4)
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pp. 995-1042
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2005 ◽
Vol 39
(1)
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pp. 9-20
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Keyword(s):
1989 ◽
Vol 22
(4)
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pp. 330-331
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Keyword(s):