| Full text | |
| Author(s): |
Vidal, Sebastian J.
;
Cadavid, Paula
;
Rodriguez, Pablo M.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS; v. N/A, p. 12-pg., 2022-08-12. |
| Abstract | |
Evolution algebras are non-associative algebras. In this work we provide an extension of this class of algebras, in a framework of Hilbert spaces, and illustrate the applicability of our approach by discussing a connection with discrete-time Markov chains with infinite countable state space. Specifically, if we associate to each possible state of such a Markov process a generator of the Hilbert evolution algebra structure, then the whole dynamics of the process can be described through consecutive applications of the evolution operator, provided certain boundedness conditions on the transition probabilities hold. (AU) | |
| FAPESP's process: | 17/10555-0 - Stochastic modeling of interacting systems |
| Grantee: | Fabio Prates Machado |
| Support Opportunities: | Research Projects - Thematic Grants |