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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