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Space-time compositional models: an introduction to simplicial partial differential operators

Author
Jarauta-Bragulat, E.; Egozcue, J. J.
Type of activity
Presentation of work at congresses
Name of edition
6th International Workshop on Compositional Data Analysis
Date of publication
2015
Presentation's date
2015-06-04
Book of congress proceedings
6th International Workshop on Compositional Data Analysis (CoDaWork 2015), June 1-5, L'Escala (Girona), Spain
First page
185
Last page
191
Repository
http://hdl.handle.net/2117/81135 Open in new window
Abstract
A function assigning a composition to space-time points is called a compositional or simplicial field. These fields can be analysed using the compositional analysis tools. A study of linear models for evolutionary compositions depending on one variable, usually time, was formulated by Egozcue and Jarauta-Bragulat (2014) in terms of the so-called simplicial linear differential equations. The foundations of differential and integral calculus for simplex-valued functions of one real variable, was p...
Citation
Jarauta-Bragulat, E., Egozcue, J. J. Space-time compositional models: an introduction to simplicial partial differential operators. A: CoDaWork - Workshop on Compositional Data Analysis. "Proceedings of the 6th International Workshop on Compositional Data Analysis S. Thió-Henestrosa and J.A. Martín-Fernández (Editors)". L'Escala (Girona): 2015, p. 185-191.
Keywords
Space-time simplicial fiels, compositional divergence, compositional gradient, differential operators, simplicial differential equations
Group of research
COSDA-UPC - COmpositional and Spatial Data Analysis

Participants