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Lochs-type theorems beyond positive entropy
Lochs’ theorem and its generalizations are conversion theorems that relate the number of digits determined in one expansion of a real number as a...
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Cross-Entropy Reduction of Data Matrix with Restriction on Information Capacity of the Projectors and Their Norms
AbstractWe develop/propose the method reducing the dimension of a data matrix, based on its direct and inverse projection, and the calculation of...
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Entropy of real rational surface automorphisms: actions on the fundamental groups
This article develops a method to compute the action induced on the fundamental group by an automorphism of a real rational surface. Then, it uses...
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Geometric thermodynamics for the Fokker–Planck equation: stochastic thermodynamic links between information geometry and optimal transport
We propose a geometric theory of non-equilibrium thermodynamics, namely geometric thermodynamics, using our recent developments of...
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Entropy, Information and Energy Flows
In the last chapter, we have studied one component of the steady-state entropy balance, the medium entropy production and associated heat flow. While...
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Relative Time-Restricted Sensitivity and Entropy
In this paper, we consider relativization of measure-theoretical- restricted sensitivity. For a given topological dynamical system, we define...
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Jensen-variance distance measure: a unified framework for statistical and information measures
The Jensen-variance (JV) distance measure is introduced and some properties are developed. The JV distance measure can be expressed using two...
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Some Estimations for the Generalized Relative Operator Entropy
In this paper, we investigate a notion of the generalized relative operator entropy, which develops the theory of the relative operator entropy...
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Essentially Non-oscillatory Schemes Using the Entropy Rate Criterion
A newKlein, Simon-Christian definition of numerical fluxes for Finite-Volume schemes is given. These numerical flux functions directly use the...
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Further Results on Weighted Entropy for Doubly Truncated Random Variable
In reliability theory, it is expected that a unit which fails to operate provides different information in two different but equal wide intervals. To...
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On the Topological Entropy of Saturated Sets for Amenable Group Actions
Let ( X , G ) be a G -action topological system, where G is a countable infinite discrete amenable group and X a compact metric space. We prove a...
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Quantile-Based Shannon Entropy for Record Statistics
The quantile-based entropy measures possess some unique properties than their distribution function approach. The present communication deals with...
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Minimal surfaces and Colding-Minicozzi entropy in complex hyperbolic space
We study notions of asymptotic regularity for a class of minimal submanifolds of complex hyperbolic space that includes minimal Lagrangian...
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Topological Stability and Entropy for Certain Set-valued Maps
In this paper, the dynamics (including shadowing property, expansiveness, topological stability and entropy) of several types of upper...
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On High-Resolution Entropy-Consistent Flux with Slope Limiter for Hyperbolic Conservation Laws
This paper proposes a new version of the high-resolution entropy-consistent (EC-Limited) flux for hyperbolic conservation laws based on a new...
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Sum-of-Squares Relaxations for Information Theory and Variational Inference
We consider extensions of the Shannon relative entropy, referred to as f -divergences. Three classical related computational problems are typically...
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Entropy of a Pairwise Continuous Map in NWPC Bitopological Dynamical Systems
Topological entropy is a measure of complexity in topological dynamical systems. Recently, Acharjee et al. [S. Acharjee, K. Goswami and H.K. Sarmah,...
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Information Measures and Concomitants of k-Record Values Based on Sarmanov Family of Bivariate Distributions
In this paper, the marginal distributions of concomitants of k -record values based on Sarmanov family of bivariate distributions are obtained, as an...
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Mathematical bounds on Shannon entropy given the abundance of the ith most abundant taxon
The measurement of diversity is a central component of studies in ecology and evolution, with broad uses spanning multiple biological scales. Studies...
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On the Controllability of Entropy Solutions of Scalar Conservation Laws at a Junction via Lyapunov Methods
In this note, we prove a controllability result for entropy solutions of scalar conservation laws on a star-shaped graph. Using a Lyapunov-type...
