4 citations · 6 across the 4 of their papers we have counts for
5 papers
Interfacing biology, category theory and mathematical statistics
Dominique Pastor, Erwan Beurier, Andrée Ehresmann +1
Motivated by the concept of degeneracy in biology (Edelman, Gally 2001), we establish a first connection between the Multiplicity Principle (Ehresmann, Vanbremeersch 2007) and math…
A mathematical approach to resilience
Dominique Pastor, Erwan Beurier, Andrée C. Ehresmann +1
In this paper, we evolve from sparsity, a key concept in robust statistics, to concepts and theoretical results of what we call the mathematics of resilience, at the interface betw…
Groupoids and Wreath Products of Musical Transformations: a Categorical Approach from poly-Klumpenhouwer Networks
Alexandre Popoff, Moreno Andreatta, Andree Ehresmann
Transformational music theory, pioneered by the work of Lewin, shifts the music-theoretical and analytical focus from the "object-oriented" musical content to an operational musica…
Adapting a Formal Model Theory to Applications in Augmented Personalized Medicine
Plamen L. Simeonov, Andrée C. Ehresmann
The goal of this paper is to advance an extensible theory of living systems using an approach to biomathematics and biocomputation that suitably addresses self-organized, self-refe…
Relational PK-Nets for Transformational Music Analysis
Alexandre Popoff, Moreno Andreatta, Andree Ehresmann
In the field of transformational music theory, which emphasizes the possible transformations between musical objects, Klumpenhouwer networks (K-Nets) constitute a useful framework…