Geodesic
Algebraic view over homogeneous linear recurrent processes
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2021), pp. 99-109

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In this paper the algebraic properties of the deterministic processes with dynamic represented by a homogeneous linear recurrence over the field $\mathbb{C}$ are studied. It is started with an overview of homogeneous linear recurrent processes over $\mathbb{C}$ and its subsets. Next, it is gone deeper into homogeneous linear recurrent processes over numerical rings. After that, the recurrence criteria over sign-based ring subsets are analyzed. Also, the deterministic processes with dynamic represented by a Littlewood, Newman or Borwein homogeneous linear recurrence are considered. 
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     author = {Alexandru Lazari},
     title = {Algebraic view over homogeneous linear recurrent processes},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
     pages = {99--109},
     publisher = {mathdoc},
     number = {1},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BASM_2021_1_a5/}
}
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Alexandru Lazari. Algebraic view over homogeneous linear recurrent processes. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2021), pp. 99-109. http://geodesic.mathdoc.fr/item/BASM_2021_1_a5/