32 citations · 46 across the 4 of their papers we have counts for
5 papers
Musical Stylistic Analysis: A Study of Intervallic Transition Graphs via Persistent Homology
Martín Mijangos, Alessandro Bravetti, Pablo Padilla
Topological data analysis has been recently applied to investigate stylistic signatures and trends in musical compositions. A useful tool in this area is Persistent Homology. In th…
New links between PDE's and Voronoi patterns
Yuriria Cortes-Poza, David Padilla-Garza, Pablo Padilla
This paper presents a range of results in partial differential equations (PDEs) in which Voronoi patterns arise. We investigate the connection between the solution to an elliptic e…
Reverse Janssen effect in narrow granular columns
Shivam Mahajan, Michael Tennenbaum, Sudhir N. Pathak +6
When grains are added to a cylinder, the weight at the bottom is smaller than the total weight of the column, which is partially supported by the lateral walls through wall/grain f…
Thermodynamics and evolutionary biology through optimal control
Alessandro Bravetti, Pablo Padilla
We consider a particular instance of the lift of controlled systems recently proposed in the theory of irreversible thermodynamics and show that it leads to a variational principle…
A Selection Criterion for Patterns in Reaction-Diffusion Systems
Tatiana T. Marquez-Lago, Pablo Padilla
Alan Turing's work in Morphogenesis has received wide attention during the past 60 years. The central idea behind his theory is that two chemically interacting diffusible substance…