Results 61 to 70 of about 4,381,784 (312)
A Dissipation of Relative Entropy by Diffusion Flows
Entropy, 2016 Given a probability measure, we consider the diffusion flows of probability measures associated with the partial differential equation (PDE) of Fokker–Planck. Our flows of the probability measures are defined as the solution of the Fokker–Planck equation
Hiroaki Yoshida
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Observational Modeling of the Kolmogorov-Sinai Entropy [PDF]
Sahand Communications in Mathematical Analysis, 2019 In this paper, Kolmogorov-Sinai entropy is studied using mathematical modeling of an observer $ Theta $. The relative entropy of a sub-$ sigma_Theta $-algebra having finite atoms is defined and then the ergodic properties of relative semi-dynamical ...
Uosef Mohammadi
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Measures of maximal relative entropy [PDF]
Ergodic Theory and Dynamical Systems, 2003 Given an irreducible subshift of finite type X, a subshift Y, a factor map : X \to Y, and an ergodic invariant measure on Y, there can exist more than one ergodic measure on X which projects to and has maximal entropy among all measures in the fiber, but there is an explicit bound on the number of such maximal entropy preimages.
Petersen, K +2 more
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On Variational Expressions for Quantum Relative Entropies [PDF]
, 2017 Distance measures between quantum states like the trace distance and the fidelity can naturally be defined by optimizing a classical distance measure over all measurement statistics that can be obtained from the respective quantum states.
Berta, Mario +2 more
core +2 more sources
The holographic dual of Rényi relative entropy
Journal of High Energy Physics, 2019 The relative entropy is a measure of the distinguishability of two quantum states. A great deal of progress has been made in the study of the relative entropy between an excited state and the vacuum state of a conformal field theory (CFT) reduced to a ...
Ning Bao +2 more
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Relative entropy and waiting times for continuous-time Markov processes [PDF]
, 2005 For discrete-time stochastic processes, there is a close connection between return/waiting times and entropy. Such a connection cannot be straightforwardly extended to the continuous-time setting.
Chazottes, Jean-Rene +2 more
core +5 more sources
Entropy Evaluation Based on Value Validity
Entropy, 2014 Besides its importance in statistical physics and information theory, the Boltzmann-Shannon entropy S has become one of the most widely used and misused summary measures of various attributes (characteristics) in diverse fields of study. It has also been
Tarald O. Kvålseth
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Relative Entropy in Diffusive Relaxation [PDF]
SIAM Journal on Mathematical Analysis, 2013 We establish convergence in the diffusive limit from entropy weak solutions of the equations of compressible gas dynamics with friction to the porous media equation away from vacuum. The result is based on a Lyapunov type of functional provided by a calculation of the relative entropy.
LATTANZIO, CORRADO, Tzavaras AE
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Entropy, 2008 We give a survey of the basic statistical ideas underlying the definition of entropy in information theory and their connections with the entropy in the theory of dynamical systems and in statistical mechanics.
Derek W. Robinson
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Introduction We developed MedSupport, a multilevel medication adherence intervention designed to address root barriers to medication adherence. This study sought to explore the feasibility and acceptability of the MedSupport intervention strategies to support a future full‐scale randomized controlled trial.
Elizabeth G. Bouchard +8 more
wiley +1 more source