Erasure entropies and Gibbs measures
Mathematical Physics
2010-01-19 v1 Information Theory
math.IT
math.MP
Probability
Abstract
Recently Verdu and Weissman introduced erasure entropies, which are meant to measure the information carried by one or more symbols given all of the remaining symbols in the realization of the random process or field. A natural relation to Gibbs measures has also been observed. In his short note we study this relation further, review a few earlier contributions from statistical mechanics, and provide the formula for the erasure entropy of a Gibbs measure in terms of the corresponding potentia. For some 2-dimensonal Ising models, for which Verdu and Weissman suggested a numerical procedure, we show how to obtain an exact formula for the erasure entropy. l
Keywords
Cite
@article{arxiv.1001.3122,
title = {Erasure entropies and Gibbs measures},
author = {Aernout van Enter and Evgeny Verbitskiy},
journal= {arXiv preprint arXiv:1001.3122},
year = {2010}
}
Comments
1o pages, to appear in Markov Processes and Related Fields