On the Ziv-Merhav theorem beyond Markovianity
Information Theory
2026-03-10 v1 Dynamical Systems
math.IT
Probability
Abstract
We generalize to a broader class of decoupled measures a result of Ziv and Merhav on universal estimation of the specific cross (or relative) entropy for a pair of multi-level Markov measures. The result covers pairs of suitably regular g-measures and pairs of equilibrium measures arising from the small space of interactions in mathematical statistical mechanics.
Keywords
Cite
@article{arxiv.2310.01367,
title = {On the Ziv-Merhav theorem beyond Markovianity},
author = {Nicholas Barnfield and Raphaël Grondin and Gaia Pozzoli and Renaud Raquépas},
journal= {arXiv preprint arXiv:2310.01367},
year = {2026}
}