Metaplex Networks: Influence of Exo-Endo Structure on Diffusion in Complex Systems

Explore the concept of metaplex networks and their impact on diffusion processes in complex systems during this comprehensive lecture. Delve into super diffusion, continuous fractional ablation, and the fractional Laplacian. Examine formal definitions, simplifications, and discrete diffusion models. Investigate the diffusion process within entire metaplex structures and analyze a toy model. Gain insights from real-world examples, including landscape metaplexes. Cover advanced topics such as spectral gap analysis and internal dynamics. Conclude with a discussion on discretization, directionality, and network parameters, providing a thorough understanding of how the exo-endo structure of complex systems influences diffusion phenomena.

Introduction
Presentation
Motivation
Super diffusion
Continuous fractional ablation
Fractional Laplacian
Super diffusion modeling
Metaplex networks
Formal definition
Simplification
Discrete diffusion
Fractional diffusion
Diffusion in whole metaplex
Toy model
Spoilers
Experiment
Spectral Gap
Internal Dynamics
Real World Examples
Landscape Metaplex
Summary
Conclusion
Discretization
Directionality
Network parameter