Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: T-entropy and Variational Principle for the spectral radius of transfer
  and weighted shift operators   The paper deals with the variational principles for evaluation of the
spectral radii of transfer and weighted shift operators associated with a
dynamical system. These variational principles have been the matter of numerous
investigations and the principal results have been achieved in the situation
when the dynamical system is either reversible or it is a topological Markov
chain. As the main summands these principles contain the integrals over
invariant measures and the Kolmogorov--Sinai entropy. In the article we derive
the Variational Principle for an arbitrary dynamical system. It gives the
explicit description of the Legendre dual object to the spectral potential. It
is shown that in general this principle contains not the Kolmogorov--Sinai
entropy but a new invariant of entropy type -- the t-entropy.

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The categories of this paper are: cond-mat
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The categories of this paper are: quant-ph
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The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
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The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-th
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The categories of this paper are: cs
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
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The categories of this paper are: stat
37
The categories of this paper are: supr-con