Results 31 to 40 of about 10,181 (161)
Green's function approach to entanglement entropy on lattices and fuzzy spaces
Physics Letters B, 2019 We develop a Green's function approach to compute Rényi entanglement entropy on lattices and fuzzy spaces. The Rényi entropy resulting from tracing out an arbitrary collection of subsets of coupled harmonic oscillators is written as zero temperature ...
Amel Allouche, Djamel Dou
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The information-theoretic meaning of Gagliardo--Nirenberg type inequalities
, 2018 Gagliardo--Nirenberg inequalities are interpolation inequalities which were proved independently by Gagliardo and Nirenberg in the late fifties. In recent years, their connections with theoretic aspects of information theory and nonlinear diffusion ...
Toscani, Giuseppe
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Journal of Inequalities and Applications, 2023 In this paper, four new Green functions are used to generalize Levinson-type inequalities for the class of 3-convex functions. The f-divergence, Renyi entropy, Renyi divergence, Shannon entropy, and the Zipf–Mandelbrot law are also used to apply the main
Awais Rasheed +3 more
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On empirical cumulant generating functions of code lengths for individual sequences
, 2016 We consider the problem of lossless compression of individual sequences using finite-state (FS) machines, from the perspective of the best achievable empirical cumulant generating function (CGF) of the code length, i.e., the normalized logarithm of the ...
Merhav, Neri
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Strong and Weak Optimizations in Classical and Quantum Models of Stochastic Processes [PDF]
, 2018 Among the predictive hidden Markov models that describe a given stochastic process, the {\epsilon}-machine is strongly minimal in that it minimizes every R\'enyi-based memory measure. Quantum models can be smaller still.
Crutchfield, James P., Loomis, Samuel
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, 2001 The q-exponential distributions, which are generalizations of the Zipf-Mandelbrot power-law distribution, are frequently encountered in complex systems at their stationary states.
A. K. Rajagopal +8 more
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Complexity Analysis of Bubble Plumes in Power Law Fluids Based on Chaos Theory
Asia-Pacific Journal of Chemical Engineering, EarlyView.ABSTRACT In order to reveal the complexity of the internal flow of bubble plume in power law fluid, the flow characteristics and chaotic characteristics of plume are studied by experiment and theory. The chaotic characteristic parameters (correlation dimension D, K entropy, and Lyapunov exponent λ) of gas velocity under different superficial gas ...
Xin Dong +6 more
wiley +1 more source
Lower and upper bounds for entanglement of Rényi-α entropy
Scientific Reports, 2016 Entanglement Rényi-α entropy is an entanglement measure. It reduces to the standard entanglement of formation when α tends to 1. We derive analytical lower and upper bounds for the entanglement Rényi-α entropy of arbitrary dimensional bipartite quantum ...
Wei Song, Lin Chen, Zhuo-Liang Cao
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Entropy linear response theory with non-Markovian bath
Journal of High Energy Physics, 2021 We developed a perturbative calculation for entropy dynamics, which considers a sudden coupling between a system and a bath. The theory we developed can work in a general environment without Markovian approximation.
Yu Chen
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Mid‐Domain Effect and Wooded Habitat Shape Mediterranean Reptile Communities
Biological Diversity, EarlyView.Analyzing a large number of reptiles observed across protected areas in Central Italy, we tested whether the mid‐domain effect explains hump‐shaped richness–elevation patterns. Species richness was best predicted by the combined influence of geometric constraints and woodland cover, revealing two contrasting species clusters and offering a robust ...
Daniele Dendi +3 more
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