3 papers
math.GM2026
Green-Function and Information-Geometric Correspondences Between Inverse Eigenvalue Loci of Generalized Lucas Sequences and the Mandelbrot Set
Arturo Ortiz-Tapia
We investigate geometric, potential-theoretic, and information-theoretic correspondences between the inverse eigenvalue loci of companion matrices associated with generalized Lucas…
math.GM2025
A flow and transport model for simulation of microbial enhanced oil recovery processes at core scale and laboratory conditions
MartÃn A. DÃaz-Viera, Arturo Ortiz-Tapia, JoaquÃn R. Hernández-Pérez +3
A general 3D flow-and-transport model in porous media is derived using an axiomatic continuum-mechanics approach and implemented with the finite element method to simulate microbia…
math.GM2025
Homotopies and Maps between Eigenvalues of some Generalized Lucas Sequences and the Mandelbrot Set
Arturo Ortiz-Tapia
The eigenvalues of companion matrices associated with generalized Lucas sequences, denoted as L, exhibit a striking geometric resemblance to the Mandelbrot set M. This work investi…