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pro vyhledávání: '"Bagci G."'
In this paper we study multipartite and correlated majorization of the finite discrete probability distributions emerging in quantum information theory. We start proving the subadditivity of the R\'{e}nyi and Burg entropies, and we show that the crit
Externí odkaz:
http://arxiv.org/abs/2105.10850
Autor:
Oikonomou, Thomas, Bagci, G. Baris
Publikováno v:
Phys. Rev. E 100, 026102 (2019)
We reply to the Comment by Jizba and Korbel [arXiv:1905.00729v1] by first pointing out that the Schur-concavity proposed by them falls short of identifying the correct intervals of normalization for the optimum probability distribution even though no
Externí odkaz:
http://arxiv.org/abs/1908.02003
It is currently a widely used practice to write the constraints in terms of escort averages when the generalized entropies are employed in the maximization scheme. We show that the maximization of the nonadditive $q$-entropy with escort averages lead
Externí odkaz:
http://arxiv.org/abs/1904.00581
Autor:
Oikonomou, Thomas, Bagci, G. Baris
Publikováno v:
Phys. Rev. E 99, 032134 (2019)
We show that the R\'enyi entropy implies artificial biases not warranted by the data and incorrect updating information due to the finite-size of the data despite being additive. It is demonstrated that this is so because it does not conform to the s
Externí odkaz:
http://arxiv.org/abs/1811.00709
Autor:
Oikonomou, Thomas, Bagci, G. Baris
Entropy maximization procedure has been a general practice in many diverse fields of science to obtain the concomitant probability distributions. The consistent use of the maximization procedure on the other hand requires the probability distribution
Externí odkaz:
http://arxiv.org/abs/1810.06916
The current density of states (DOS) calculations do not take into account the essential discreteness of the state space, since they rely on the unbounded continuum approximation. Recently, discrete DOS based on the quantum-mechanically allowable mini
Externí odkaz:
http://arxiv.org/abs/1809.03495
Autor:
Oikonomou, Thomas, Bagci, G. Baris
Publikováno v:
Phys. Rev. E 97, 066102 (2018)
It has been known for some time that the usual $q$-entropy $S_q^{(n)}$ cannot be shown to converge to the continuous case. In [Phys. Rev. E 97 (2018) 012104], we have shown that the discrete $q$-entropy $\widetilde{S}_q^{(n)}$ converges to the contin
Externí odkaz:
http://arxiv.org/abs/1806.09119
Autor:
Oikonomou, Thomas, Bagci, G. Baris
Within a framework of utmost generality, we show that the entropy maximization procedure with linear constraints uniquely leads to the Shannon-Boltzmann-Gibbs entropy. Therefore, the use of this procedure with linear constraints should not be extende
Externí odkaz:
http://arxiv.org/abs/1803.02556
Autor:
Oikonomou, Thomas, Bagci, G. Baris
Publikováno v:
Phys. Rev. E 96, 056101 (2017)
Plastino, Rocca and Pennini [Phys. Rev. E \textbf{94} (2016) 012145] recently stated that the R\'enyi entropy is not suitable for thermodynamics by using functional calculus, since it leads to anomalous results unlike the Tsallis entropy. We first sh
Externí odkaz:
http://arxiv.org/abs/1711.01720
Reply to 'Rescuing the MaxEnt treatment for $q$-generalized entropies' by A. Plastino and M.C. Rocca
Autor:
Oikonomou, Thomas, Bagci, G. Baris
Plastino and Rocca [Physica A 491, 1023 (2018)] recently criticized our work [Phys. Lett. A 381, 207 (2017)] on the ground that one should use functional calculus instead of the ordinary calculus adopted by us in the entropy maximization procedure. W
Externí odkaz:
http://arxiv.org/abs/1705.01752