Probabilities with Values in Scaled Hyperbolic Numbers

Authors

Daniel Alpay, Chapman UniversityFollow
Ilwoo Choo, St. Ambrose UniversityFollow

Document Type

Article

Publication Date

6-15-2025

Abstract

In this paper, we introduce a notion of a probabilistic measure which takes values in t-scaled hyperbolic numbers for t ∈ R, with a system of axioms generalizing directly Kolmogorov’s axioms. i.e., we establish a suitable measure theory in the set Dt of all t-scaled hyperbolic numbers for arbitrarily fixed t ∈ R.

Comments

This article was originally published in Advances in Applied Clifford Algebras, volume 35, in 2025. https://doi.org/10.1007/s00006-025-01394-7

Recommended Citation

Alpay, D., Cho, I. Probabilities with Values in Scaled Hyperbolic Numbers. Adv. Appl. Clifford Algebras 35, 32 (2025). https://doi.org/10.1007/s00006-025-01394-7

Peer Reviewed

1

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The authors

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 License.