(MINERVA-DECUR) THE TOPOLOGY OF INTERDEPENDENT MULTI-DOMAIN BEHAVIORAL SYSTEMS
Abstract
The last twenty years have been a very exciting time for applied algebraic topology. Advances in persistent homology theory have found surprising application in everything from internet architecture (Petri, Scolamiero, Donato, and Vaccarino, 2013) to mobile ad hoc networks (Adams and Carlsson, 2015; Robinson, 2014). However, thus far, no one has built the specific tools required to tailor this (or any other) field of mathematics to address important questions in communication and collaborative interaction structure. By building on the specific definitions of Embeddedness and Global Generalized Clustering Coefficients, and functions on simplicial sets designed specifically to fill the gap between the already-developed mathematical insights from algebraic topology and questions about patterns of interaction that include multi-scale, cross-domain dynamics, we are finally uniquely poised to answer some long-standing and fundamental questions.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Aug 12, 2021
- Source ID
- FA95502010275
Entities
People
- Nina Fefferman
Organizations
- Air Force Office of Scientific Research
- United States Air Force
- University of Tennessee