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

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.