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on
1
Introduction
2
Presentation
3
Motivation
4
Super diffusion
5
Continuous fractional ablation
6
Fractional Laplacian
7
Super diffusion modeling
8
Metaplex networks
9
Formal definition
10
Simplification
11
Discrete diffusion
12
Fractional diffusion
13
Diffusion in whole metaplex
14
Toy model
15
Spoilers
16
Experiment
17
Spectral Gap
18
Internal Dynamics
19
Real World Examples
20
Landscape Metaplex
21
Summary
22
Conclusion
23
Discretization
24
Directionality
25
Network parameter
Description:
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.

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

Instituto de Física Interdisciplinar y Sistemas Complejos (IFISC)
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