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pro vyhledávání: '"Oikonomou, Thomas"'
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:
Bountis, Anastasios, Kaloudis, Konstantinos, Oikonomou, Thomas, Manda, Bertin Many, Skokos, Charalampos
We investigate the local and global dynamics of two 1-Dimensional (1D) Hamiltonian lattices whose inter-particle forces are derived from non-analytic potentials. In particular, we study the dynamics of a model governed by a "graphene-type" force law
Externí odkaz:
http://arxiv.org/abs/2005.06196
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
Publikováno v:
International Journal of Theoretical Physics, (2019), 1-27
A worldline with a time-independent spectrum is called stationary. Such worldlines are arguably the most simple motions in physics. Barring the trivially static motion, the non-trivial worldlines are uniformly accelerated. As such, a point charge mov
Externí odkaz:
http://arxiv.org/abs/1907.01751
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
After a brief introduction to the theory underlying block-entropy, and its relation to the dynamics of complex systems as well as certain information theory aspects, we study musical texts coming from two distinct musical traditions (Japanese and Wes
Externí odkaz:
http://arxiv.org/abs/1810.06119
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