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Math @ Duke
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Publications [#384445] of Renaud Raquépas
Papers Published
- Barnfield, N; Grondin, R; Pozzoli, G; Raquépas, R, On the Ziv–Merhav theorem beyond Markovianity I,
Canadian Journal of Mathematics, vol. 77 no. 3
(June, 2025),
pp. 891-915 [doi]
(last updated on 2026/01/18)
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, originally for a pair of multilevel Markov measures. Our generalization focuses on abstract decoupling conditions and covers pairs of suitably regular g-measures and pairs of equilibrium measures arising from the “small space of interactions” in mathematical statistical mechanics.
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