156 citations · 1.4k across the 61 of their papers we have counts for
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A conditional Entropy Power Inequality for dependent variables
Oliver Johnson
We provide a condition under which a version of Shannon's Entropy Power Inequality will hold for dependent variables. We provide information inequalities extending those found in t…
Fisher Information inequalities and the Central Limit Theorem
Oliver Johnson, Andrew Barron
We give conditions for an O(1/n) rate of convergence of Fisher information and relative entropy in the Central Limit Theorem. We use the theory of projections in L2 spaces and Poin…
An information-theoretic Central Limit Theorem for finitely susceptible FKG systems
Oliver Johnson
We adapt arguments concerning entropy-theoretic convergence from the independent case to the case of FKG random variables. FKG systems are chosen since their dependence structure i…
The von Neumann entropy and information rate for ideal quantum Gibbs ensembles
Oliver Johnson, Yuri Suhov
A model of a quantum information source is proposed, based on the Gibbs ensemble of ideal (free) particles (bosons or fermions). We identify the (thermodynamic) von Neumann entropy…