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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…
math.RA2020
Derivations of Evolution Algebras associated to graphs over a field of any characteristic
Tiago Reis, Paula Cadavid
The space of derivations of finite dimensional evolution algebras associated to graphs over a field with characteristic zero has been completely characterized in the literature. In…
math.PR2020
An improved lower bound for the critical parameter of the Stavskaya's process
Alex D. Ramos, Caliteia S. Sousa, Pablo M. Rodriguez +1
We consider the Stavskaya's process, which is a two-states Probabilistic Celular Automata defined on a one-dimensional lattice. The process is defined in such a way that the state…