Date of Degree
Statistical, Nonlinear, and Soft Matter Physics
Statistics, complex networks, graph theory, neural networks
The objective of the dissertation is to illustrate the importance of the k-core dynamical model, by first presenting the stability analysis of the nonlinear k-core model and compare its solution to the most widely used linear model. Second, I show a real world application of the k-core model to describe properties of neural networks, specifically, the transition from conscious to subliminal perception.
Arese Lucini, Francesca Beatrice, "Stability and Application of the k-core Dynamical Model to Biological Networks" (2019). CUNY Academic Works.