TY - JOUR AU - Sukhorukova, Kh.O. AU - Zarichnyi, M.M. PY - 2022/12/30 Y2 - 2024/03/29 TI - On $\ast$-measure monads on the category of ultrametric spaces: Array JF - Carpathian Mathematical Publications JA - Carpathian Math. Publ. VL - 14 IS - 2 SE - Scientific articles DO - 10.15330/cmp.14.2.429-436 UR - https://journals.pnu.edu.ua/index.php/cmp/article/view/5892 SP - 429-436 AB - <p>The functor of $\ast$-measures of compact support on the category of ultrametric spaces and non-expanding maps is introduced in the previous publication of the authors. In the present note, we prove that this functor determines a monad on this category. The monad structure allows us to define the tensor product of $\ast$-measures. We consider some applications of this notion to equilibrium theory.</p> ER -