On the Ziv–Merhav theorem beyond Markovianity I
Publication
, Journal Article
Barnfield, N; Grondin, R; Pozzoli, G; Raquépas, R
Published in: Canadian Journal of Mathematics
June 1, 2025
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.
Duke Scholars
Published In
Canadian Journal of Mathematics
DOI
ISSN
0008-414X
Publication Date
June 1, 2025
Volume
77
Issue
3
Start / End Page
891 / 915
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Barnfield, N., Grondin, R., Pozzoli, G., & Raquépas, R. (2025). On the Ziv–Merhav theorem beyond Markovianity I. Canadian Journal of Mathematics, 77(3), 891–915. https://doi.org/10.4153/S0008414X24000178
Barnfield, N., R. Grondin, G. Pozzoli, and R. Raquépas. “On the Ziv–Merhav theorem beyond Markovianity I.” Canadian Journal of Mathematics 77, no. 3 (June 1, 2025): 891–915. https://doi.org/10.4153/S0008414X24000178.
Barnfield N, Grondin R, Pozzoli G, Raquépas R. On the Ziv–Merhav theorem beyond Markovianity I. Canadian Journal of Mathematics. 2025 Jun 1;77(3):891–915.
Barnfield, N., et al. “On the Ziv–Merhav theorem beyond Markovianity I.” Canadian Journal of Mathematics, vol. 77, no. 3, June 2025, pp. 891–915. Scopus, doi:10.4153/S0008414X24000178.
Barnfield N, Grondin R, Pozzoli G, Raquépas R. On the Ziv–Merhav theorem beyond Markovianity I. Canadian Journal of Mathematics. 2025 Jun 1;77(3):891–915.
Published In
Canadian Journal of Mathematics
DOI
ISSN
0008-414X
Publication Date
June 1, 2025
Volume
77
Issue
3
Start / End Page
891 / 915
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 0101 Pure Mathematics