5 papers
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…
A flow and transport model for simulation of microbial enhanced oil recovery processes at core scale and laboratory conditions
Martín A. Díaz-Viera, Arturo Ortiz-Tapia, Joaquín 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…
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…
On the equidistribution properties of patterns in prime numbers Jumping Champions, metaanalysis of properties as Low-Discrepancy Sequences, and some conjectures based on Ramanujan's master theorem and the zeros of Riemann's zeta function
Arturo Ortiz-Tapia
The Paul Erdős-Turán inequality is used as a quantitative form of Weyl' s criterion, together with other criteria to asses equidistribution properties on some patterns of sequences…
Some remarks on the first Hardy-Littlewood conjecture
Marco Bortolomasi, Arturo Ortiz-Tapia
Starting from the first Hardy-Littlewood conjecture some topics will be covered: an empirical approach to the distribution of the twin primes in classes mod(10) and a simplified pr…