Zobrazeno 1 - 10
of 73
pro vyhledávání: '"Azouzi, Youssef"'
Recently the Kac formula for the conditional expectation of the first recurrence time of a conditionally ergodic conditional expectation preserving system was established in the measure free setting of vector lattices (Riesz spaces). We now give a fo
Externí odkaz:
http://arxiv.org/abs/2403.15628
Autor:
Azouzi, Youssef, Nasri, Youssef
We persist in our investigation of the sup-completion of a Dedekind complete Riesz space, extending to the broader context of Riesz spaces. some results initially obtained by Feng, Li, Shen, and also by Erd\"os, and R\'enyi.
Externí odkaz:
http://arxiv.org/abs/2403.17944
We study the strong Nakano property in Banach lattices with a special focus on free Banach lattices. We show that for every finite dimensional Banach space $E$, the free Banach lattice $FBL[E]$ has the strong Nakano property with a constant independe
Externí odkaz:
http://arxiv.org/abs/2401.15629
Autor:
Azouzi, Youssef, Masmoudi, Marwa
In the recent surge of papers on ergodic theory within Riesz spaces, this article contributes by introducing enhanced characterizations of ergodicity. Our work extends and strengthens prior results from both the authors and Homann, Kuo, and Watson. S
Externí odkaz:
http://arxiv.org/abs/2312.12454
Autor:
Azouzi, Youssef
In this paper, we explore an abstraction of uniform integrability in vector lattices and demonstrate its application by providing a positive solution to an open question posed by Kuo, Rodda, and Watson. Specifically, we show that for finite p and wit
Externí odkaz:
http://arxiv.org/abs/2304.07251
Autor:
Azouzi, Youssef
In our work, we provide a constructive proof of a generalized version of Cantor's diagonal argument for nets. This result expands the well-known technique beyond sequences, allowing it to be applied to a broader context. This result has significant p
Externí odkaz:
http://arxiv.org/abs/2304.04189
We extend the concept of conditional supremum to the measure-free setting of Riesz spaces via the conditional expectation operator. We explore its properties and show how this tool is crucial in generalizing various results across multiple discipline
Externí odkaz:
http://arxiv.org/abs/2303.09868
Autor:
Azouzi, Youssef, Nasri, Youssef
We introduce and study the concept of generating function for natural elements in a Dedekind complete Riesz space equipped with a conditional expectatnion operator. This allows to study discrete processes in free-measure setting. In particular we imp
Externí odkaz:
http://arxiv.org/abs/2212.00673
Autor:
Azouzi, Youssef, Amor, Mohamed Amine Ben, Homann, Jonathan, Masmoudi, Marwa, Watson, Bruce A.
Riesz space (non-pointwise) generalizations for iterative processes are given for the concepts of recurrence, first recurrence and conditional ergodicity. Riesz space conditional versions of the Poincar\'{e} Recurrence Theorem and the Kac formula are
Externí odkaz:
http://arxiv.org/abs/2207.12524
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 March 2024 531(1) Part 2
