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arXiv · 2012.05124

Hilbert evolution algebras and its connection with discrete-time Markov chains

Sebastian J. Vidal·Paula Cadavid·Pablo M. Rodriguez
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Abstract

Evolution algebras are non-associative algebras. In this work we provide an extension of this class of algebras, in the context of Hilbert spaces, capable to deal with infinite-dimensional spaces. We illustrate the applicability of our approach by discussing a connection with discrete-time Markov chains with countable state space.

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Sebastian J. Vidal, Paula Cadavid, Pablo M. Rodriguez. 2020-12-09. Hilbert evolution algebras and its connection with discrete-time Markov chains. https://arxiv.org/abs/2012.05124

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