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IMCS/Publications/BASM/Issues/BASM n.1(95)-n2(96), 2021/

Algebraic View over Homogeneous Linear Recurrent Processes

Authors: Alexandru Lazari

Abstract

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.

Institute of Mathematics and Computer Science,
5 Academiei str., Chisinau, MD-2028, Moldova.
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