11 citations · 19 across the 6 of their papers we have counts for
4 papers · 1 filter
Variational principles for t-entropy, the spectral potential of transfer operator, and entropy statistic theorem are equivalent
V. I. Bakhtin, A. V. Lebedev
For any transfer operator we establish the equivalence of variational principles for -entropy, the spectral potential and entropy statistic theorem and give new proofs for all t…
New direct proofs of variational principles for t-entropy, spectral radius of weighted shift operators, and entropy statistic theorem
V. I. Bakhtin, A. V. Lebedev
New direct proofs of variational principles for -entropy, spectral radius of weighted shift operators, and entropy statistic theorem are given. The equivalence of these statemen…
The McMillan theorem for colored branching processes and dimensions of random fractals
V. I. Bakhtin
For simplest colored branching processes we prove an analog to the McMillan theorem and calculate Hausdorff dimensions of random fractals defined in terms of the limit behavior of…
A new definition of t-entropy for transfer operators
V. I. Bakhtin, A. V. Lebedev
The article presents a new definition of t-entropy that makes it more explicit and simplifies the process of its calculation.