3 papers
math.FA2026
The Stein-Chen method and a Law of Small Numbers in Riesz Spaces
Wen-Chi Kuo, Nigel Musara, Bruce A. Watson
Martingales, Markov processes and Laws of Large Numbers have been well studied in the Riesz space (vector lattice) setting. There has, however, been no attention given in the Riesz…
math.FA2026
The -strong duals of and
Florian Boisen, Anke Kalauch, Wen-Chi Kuo +2
For a conditional expectation operator on a Dedekind complete Riesz space, we give representations of the -strong duals of and . The representation for…
math.DS2025
A Kakutani-Rokhlin decomposition for conditionally ergodic process in the measure-free setting of vector lattices
Youssef Azouzi, Marwa Masmoudi, Bruce Alastair Watson
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 me…