Date of Degree

9-2019

Document Type

Dissertation

Degree Name

Ph.D.

Program

Physics

Advisor

Hernàn Makse

Committee Members

Azita Mayeli

Lucas Parra

Tobias Schäfer

Mariano Sigman

Subject Categories

Statistical, Nonlinear, and Soft Matter Physics

Keywords

Statistics, complex networks, graph theory, neural networks

Abstract

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.

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