Zobrazeno 1 - 10
of 40
pro vyhledávání: '"V. I. Bakhtin"'
Autor:
V. I. Bakhtin, A. V. Lebedev
Publikováno v:
Russian Journal of Mathematical Physics. 30:1-24
Publikováno v:
Doklady of the National Academy of Sciences of Belarus. 66:567-573
The article describes the relations between spectral radius of transfer operators and topological pressure. The key role is played by new dynamical characteristics – rami-rate and forward entropy.
Autor:
V. I. Bakhtin, B. M. Sadok
Publikováno v:
Differential Equations. 58:717-726
Autor:
A. V. Lebedev, V. I. Bakhtin
Publikováno v:
Journal of Theoretical Probability. 35:350-369
The article presents new $${\sup }$$ sup -sums principles for integral F-divergence for arbitrary convex functions F on the whole real axis and arbitrary (not necessarily positive and normalized) measures. Among applications of these results, we work
Autor:
V. I. Bakhtin, A. V. Lebedev
Publikováno v:
Journal of Mathematical Analysis and Applications. 474:59-71
Equivalence of entropy statistic theorem and variational principle for t-entropy is established. It is obtained by means of new direct proofs of variational principles for t-entropy, spectral radius of weighted shift operators, and entropy statistic
Autor:
V. I. Bakhtin
Publikováno v:
Differential Equations. 55:294-302
The limit frequency properties of trajectories of the simplest dynamical system generated by the left shift on the space of sequences of letters from a finite alphabet are studied. The following modification of the Shannon-McMillan-Breiman theorem is
Spectral Potential, Kullback Action, and Large Deviations of Empirical Measures on Measurable Spaces
Autor:
V. I. Bakhtin
Publikováno v:
Theory of Probability & Its Applications. 59:535-544
In the paper we prove the well-known large deviation principle for empirical measures in the case when independent identically distributed random variables take values in a measurable space instead of a topological space. The domain of the Kullback--
Autor:
V. I. Bakhtin
Publikováno v:
Entropy, Vol 16, Iss 12, Pp 6624-6653 (2014)
Entropy
Volume 16
Issue 12
Pages 6624-6653
Entropy
Volume 16
Issue 12
Pages 6624-6653
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 empirical measures generated by finite genetic lines. In this setting
Autor:
V. I. Bakhtin
Publikováno v:
Teoriya Veroyatnostei i ee Primeneniya. 59:625-638
Publikováno v:
Онкогематология, Vol 17, Iss 4, Pp 118-125 (2022)
Background. The presence of the FLT3-ITD mutations in patients with AML serves as a marker of poor prognosis, which is included in the ELN 2017 risk stratification guideline. The main criterion for dividing patients into groups according to the predi
Externí odkaz:
https://doaj.org/article/949671ee51664c06bc72c94200295a60