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António Bravo

Publications and source records attributed to António Bravo.

3 recordsLinked to original sources
arXiv2015

Population Dynamics with Infinite Leslie Matrices

Infinite Leslie matrices, introduced by Demetrius forty years ago are mathematical models of age-structured populations defined by a countable infinite number of age classes. This article is concerned with determining solutions of the discrete dynamical system in finite time. We address this problem by appealing to the concept of kneading matrices and kneading determinants. Our analysis is applicable not only to populations models, but to models of self-reproducing machines and self-reproducing computer programs. The dynamics of theses systems can also be described in terms of infinite Leslie matrices.uation.

q-bio.PE↗
arXiv2015

Kneading determinants of infinite order linear recurrences

Infinite order linear recurrences are studied via kneading matrices and kneading determinants. The concepts of kneading matrix and kneading determinant of an infinite order linear recurrence, introduced in this work, are defined in a purely linear algebraic context. These concepts extend the classical notions of Frobenius companion matrix to infinite order linear recurrences and to the associated discriminant of finite order linear recurrences. Asymptotic Binet formulas are deduced for general classes of infinite order linear recurrences as a consequence of the analytical properties of the generating functions obtained for the solutions of these infinite order linear recurrences.

math.RA↗