2 papers
math.PR2026
Brownian motion: the hyperbolic number setting
Daniel Alpay, Ilwoo Cho, Liora Mayats-Alpay
The purpose of this paper is to define normal Gaussian variables in the setting of hyperbolic probabilities, and introduce an associated Brownian motion, when both the index and th…
math.FA2024
Unitary rational functions: The scaled quaternion case
Daniel Alpay, Ilwoo Cho, Mihaela Vajiac
We develop the theory of minimal realizations and factorizations of rational functions where the coefficient space is a ring of the type introduced in our previous work, the scaled…