Showing math.RAShow all
3 papers · 1 filter
math.RA2023
Hilbert evolution algebras, weighted digraphs, and nilpotency
Paula Cadavid, Pablo M. Rodriguez, Sebastian J. Vidal
Hilbert evolution algebras generalize evolution algebras through a framework of Hilbert spaces. In this work we focus on infinite-dimensional Hilbert evolution algebras and their r…
math.RA2021
On Hilbert evolution algebras of a graph
Sebastian J. Vidal, Paula Cadavid, Pablo M. Rodriguez
Evolution algebras are a special class of non-associative algebras exhibiting connections with different fields of Mathematics. Hilbert evolution algebras generalize the concept th…
math.RA2020
Hilbert evolution algebras and its connection with discrete-time Markov chains
Sebastian J. Vidal, Paula Cadavid, Pablo M. Rodriguez
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-dim…