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math.MG2026
Magnitude and diversity of trees
Philippe Bouafia
We compute the magnitude (an isometric invariant of metric spaces) of compact -trees and show that it equals , where denotes the total leng…
math.MG2026
Another simple proof of the 1-dimensional flat chain conjecture
Philippe Bouafia, Thierry De Pauw
We provide a short proof of the 1-dimensional flat chain conjecture.
math.FA2026
Non-absolute integration and application to Young geometric integration
Philippe Bouafia
We survey several non-absolutely convergent integrals, including the Henstock-Kurzweil and Pfeffer integrals, and use ideas from these theories to investigate the problem of multid…