Research

Publications and preprints

1. T. Chuna, N. Barnfield, J. Vorberger, M. P. Friedlander, T. Hoheisel, T. Dornheim. Estimates of the dynamic structure factor for the finite temperature electron liquid via analytic continuation of path integral Monte Carlo data. Physical Review B (2025). doi:10.1103/4d4b-kgtk

2. T. Chuna, N. Barnfield, M. P. Friedlander, T. Hoheisel, T. Dornheim. Dual formulation of the maximum entropy method applied to analytic continuation of quantum Monte Carlo data. Journal of Physics A: Mathematical and Theoretical (2025). doi:10.1088/1751-8121/adf924

3. N. Barnfield, R. Grondin, G. Pozzoli and R. Raquépas. On the Ziv-Merhav theorem beyond Markovianity II: A thermodynamic Approach.(2023). arXiv:2312.02098 [math.PR]

4. N. Barnfield, R. Grondin, G. Pozzoli and R. Raquépas. On the Ziv-Merhav theorem beyond Markovianity I. Canadian Journal of Mathematics. (2024). doi:10.4153/S0008414X24000178

Conference proceedings

1. N. Barnfield, R. Grondin, G. Pozzoli and R. Raquépas. Ziv-Merhav estimation for hidden-Markov processes. IEEE International Symposium on Information Theory. (2024). doi:10.1109/ISIT57864.2024.10619304

Some invited talks

Program on Continuous Optimization (June 2026) SIAM Conference on Optimization, Edinburgh (upcoming)
A Self-Scaling Dual Method for Entropy-Regularized Least Squares

Séminaire Doctorant (January 16, 2024)
Laboratoire de Mathématiques de Besançon, Besançon (online)
On the Ziv-Merhav theorem beyond Markovianity

Mini-workshop on Entropies for Complex processes (December 9, 2023)
Mathematical institute of the Serbian Academy of Sciences and Arts, Belgrade (online)
Return times and waiting times as entropy estimators III: Ziv–Merhav Estimator

Recent Progress in Statistical Mechanics (December 3, 2023)
Winter Meeting of the Canadian Mathematical Society, Montréal
On the Ziv-Merhav theorem beyond Markovianity