12 citations · 21 across the 4 of their papers we have counts for
4 papers
A Different Demonstration for Integral Identity Across Distinct Time Scales
Patrick Oliveira
In the theory of time scales, given a time scale with at least two distinct elements, an integration theory is developed using ideas already well known as Riemann sums…
A Carathéodory's Extension Theorem for Families Simpler Than an Algebras of Sets
Patrick Oliveira
The Carathéodory's Extension Theorem is a powerful tool that allows us to generate a measure, over a sigma-algebra, from a pre-measure defined over an algebra of sets. However, alt…
Does Sex Induce a Phase Transition?
P. M. C. de Oliveira, S. Moss de Oliveira, D. Stauffer +2
We discovered a dynamic phase transition induced by sexual reproduction. The dynamics is a pure Darwinian rule with both fundamental ingredients to drive evolution: 1) random mutat…
Simple Bit-String Model for Lineage Branching
P. M. C. de Oliveira, J. S. Sa' Martins, D. Stauffer +1
We introduce a population dynamics model, where individual genomes are represented by bit-strings. Selection is described by death probabilities which depend on these genomes, and…