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Mersenne Numbers in the Bases of Systems of Residual Classes when Transmitting Data in Serial Communication Channels
In this paper, we consider the system of residual classes for data representation in communication channels. In this case, it is possible to perform...
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Refined operator inequalities for relative operator entropies
We investigate the relative operator entropies in the more general settings of C *-algebras, real C *-algebras and JC-algebras. We show that all the...
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q-invariance Entropy for Control Systems
We introduce the notions of q -invariance entropy and q -metric invariance entropy for control systems by Carathéodory–Pesin structures. We obtain some...
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On stochastic properties of past varentropy with applications
To have accuracy in the extracted information is the goal of the reliability theory investigation. In information theory, varentropy has recently...
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An informatic approach to a long memory stationary process
Long memory is an important phenomenon that arises sometimes in the analysis of time series or spatial data. Most of the definitions concerning the...
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A Variational Characterization of Langevin-Smoluchowski Diffusions
We show that Langevin–Smoluchowski measure on path space is invariant under time-reversal, followed by stochastic control of the drift with a novel...
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On Cumulative Tsallis Entropy and Its Dynamic Past Version
Cumulative Tsallis entropy and its residual have developed by many others, and they proposed alternative (second) forms of them. In this article, we...
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Probabilistic Refinement of the Asymptotic Spectrum of Graphs
The asymptotic spectrum of graphs, introduced by Zuiddam (Combinatorica, 2019), is the space of graph parameters that are additive under disjoint...
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Algebraic Methods of the Study of Quantum Information Transfer Channels
Kraus representation of quantum information transfer channels is widely used in practice. We present examples of Kraus decompositions for channels...
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Notion of Information and Independent Component Analysis
Partial orderings and measures of information for continuous univariate random variables with special roles of Gaussian and uniform distributions are...
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Convexity Properties of Some Entropies
We consider a family of probability distributions depending on a real parameter x , and study the logarithmic convexity of the sum of the squared...
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Diffusion entropy method for ultraslow diffusion using inverse Mittag-Leffler function
This study analyzes the complexity of ultraslow diffusion process using both the classical Shannon entropy and its general case with inverse...
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Detecting direct associations in a network by information theoretic approaches
Detecting direct associations or inferring networks based on the observed data is an important issue in many fields, including biology, physics,...
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A remainder term for Hölder’s inequality for matrices and quantum entropy inequalities
We prove a sharp remainder term for Hölder’s inequality for traces as a consequence of the uniform convexity properties of the Schatten trace norms....
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On Generalized Conditional Cumulative Past Inaccuracy Measure
The notion of cumulative past inaccuracy (CPI) measure has recently been proposed in the literature as a generalization of cumulative past entropy...
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Holographic software for quantum networks
We introduce a pictorial approach to quantum information, called holographic software . Our software captures both algebraic and topological aspects...
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Classes of Matroids Closed Under Minors and Principal Extensions
This work studies the classes of matroids that are closed under minors, addition of coloops and principal extensions. To any matroid M in such a...
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Fractional derivative anomalous diffusion equation modeling prime number distribution
This study suggests that the power law decay of prime number distribution can be considered a sub-diffusion process, one of typical anomalous...