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

Abstract

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

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