Zobrazeno 1 - 10
of 147
pro vyhledávání: '"Bakhtin, V. A."'
Autor:
Bakhtin, V. I., Tsarev, N. A.
In the paper we prove criteria for convexity and concavity of $f$-potentials ($f$-means, or Kolvogorov means), which particular cases are the arithmetic, geometric, harmonic means, the thermodynamic potential (exponential mean), and the $L^{p}$-norm.
Externí odkaz:
http://arxiv.org/abs/2411.07659
Autor:
Bakhtin, V. I.
It is proved that a parameterized curve in a metric space $X$ is absolutely continuous if and only if its composition with any Lipschitz function on $X$ is absolutely continuous.
Comment: 7 pages
Comment: 7 pages
Externí odkaz:
http://arxiv.org/abs/2406.08941
Autor:
Bakhtin, V. I.
An ergodic support $X_0$ of a dynamical system $(X,T)$ with metrizable compact phase space $X$ is the set of all points $x\in X$ such that the corresponding sequence of empirical measures $\delta_{x,n} = (\delta_x +\delta_{Tx}+\dots +\delta_{T^{n-1}x
Externí odkaz:
http://arxiv.org/abs/2309.10573
Autor:
Bakhtin, V. I., Lebedev, A. V.
The paper is devoted to the analysis of relationships between principal objects of the spectral theory of dynamical systems (transfer and weighted shift operators) and basic characteristics of information theory and thermodynamic formalism (entropy a
Externí odkaz:
http://arxiv.org/abs/2107.02166
Akademický článek
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Sup-sums principles for F-divergence, Kullback--Leibler divergence, and new definition for t-entropy
Autor:
Bakhtin, V. I., Lebedev, A. V.
The article presents new sup-sums principles for integral F-divergence for arbitrary convex function F and arbitrary (not necessarily positive and absolutely continuous) measures. As applications of these results we derive the corresponding sup-sums
Externí odkaz:
http://arxiv.org/abs/1909.06597
Akademický článek
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Autor:
Bakhtin, V. I., Lebedev, A. V.
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.
Comment: 10 pages. arXiv admin note: text overla
Comment: 10 pages. arXiv admin note: text overla
Externí odkaz:
http://arxiv.org/abs/1707.01431
Autor:
Bakhtin, V. I., Lebedev, A. V.
New direct proofs of variational principles for $t$-entropy, spectral radius of weighted shift operators, and entropy statistic theorem are given. The equivalence of these statements is obtained.
Comment: 11 pages
Comment: 11 pages
Externí odkaz:
http://arxiv.org/abs/1705.01270
Autor:
Bakhtin, V. K.1,2 (AUTHOR), Gurbatov, S. N.1 (AUTHOR), Deryabin, M. S.1,2 (AUTHOR) mmm1984@inbox.ru, Kasyanov, D. A.2 (AUTHOR)
Publikováno v:
Acoustical Physics. Jun2023, Vol. 69 Issue 3, p309-317. 9p.
