English

Variational principles for t-entropy, the spectral potential of transfer operator, and entropy statistic theorem are equivalent

Dynamical Systems 2017-07-06 v1

Abstract

For any transfer operator we establish the equivalence of variational principles for tt-entropy, the spectral potential and entropy statistic theorem and give new proofs for all these statements.

Keywords

Cite

@article{arxiv.1707.01431,
  title  = {Variational principles for t-entropy, the spectral potential of transfer operator, and entropy statistic theorem are equivalent},
  author = {V. I. Bakhtin and A. V. Lebedev},
  journal= {arXiv preprint arXiv:1707.01431},
  year   = {2017}
}

Comments

10 pages. arXiv admin note: text overlap with arXiv:0809.3116, arXiv:1705.01270