Publications:
- 2023: The Kac formula and Poincaré recurrence theorem in Riesz spaces (ArXiV) In Proceedings of the American Mathematical Society, (With Youssef Azouzi, Mohamed Amine Ben Amor, Jonathan M. Homann and Bruce A Watson).
- 2024:Conditional supremum in Riesz spaces and applications. (In collaboration with Youssef Azouzi, Mohamed Amine Ben Amor and Dorsaf Cherif), in Journal of mathematical analysis and applications.
- 2024.Some characterizations of ergodicity in Riesz spaces. (In collaboration with Y. Azouzi), in Quaestiones Mathematicae.
href=”https://doi.org/10.2989/16073606.2024.2366410″ - 2025: A Kakutani–Rokhlin decomposition for conditionally ergodic process in the measure-free setting of vector lattices. (In collaboration with Y. Azouzi et B.A. Watson), in Ergodic theory and dynamical systems. href=”https://doi.org/10.1017/etds.2025.10200″
- 2026: Ergodicity via conditional supremum and irreducibility in Riesz spaces. (In collaboration with Y. Azouzi), in Positivity, Published online Novembre 2025 .
href=”https://doi.org/10.1007/s11117-025-01154-8″
Conference Talks:
- FAOTSA 2024, AIMS South Africa, Muizenburg, Cape town, March 17 – 19, 2024. Title of talk: Ergodicity for conditional expectation preserving systems.
- COSA 2024 conference, K\’enitra, Morocco, February 05 – 09, 2024. Title of talk: Some characterizations of ergodicity in Riesz spaces.
- Positivity XI conference, Ljubljana, Slovenia, July 10 – 14, 2023. Title of talk: Riesz Space Generalizations of recurrence Theorems in Ergodic Theory.
- 3 days in Order Workshop, Sousse, Tunisia, 8-10 June 2023. Title of talk: An overview on some topics in Ergodic theory.
- Conference on Ordered Structures with Applications, Tozeur Tunisia, from January 30 to February 3, 2023. Title of talk: Recurrence in Ergodic theory.
- Functional Analysis and Operator Theory South Africa 2022 workshop (FAOTSA22), Kruger National Park in South Africa, from 30 September to 3 October 2022. Title of talk: The Kac formula and Poincaré recurrence theorem in Riesz spaces.
- Conference On Ordered Structures With Applications in Economy and Finance, Online Conference, May 2021. Title of talk: Conditional essential supremum in Riesz spaces.