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My master's thesis got published in Physical Review E🥳! Thanks to @thilogross.bsky.social for the supervision. We develop a meta-community opinion model and use a master stability function approach to find conditions where pattern formation facilitates diversity. Read here: arxiv.org/abs/2508.15377
We model this as a reaction-diffusion system on a #Network. Nodes represent communities where individuals hold one of two opinions, updating them through two mechanisms: spontaneous flipping or social interaction.
A key finding: depending on the network's structural properties, the "inferior" opinion (with the lower spontaneous flipping rate) can achieve local dominance in some communities. This demonstrates a structural mechanism for how minority opinions can be preserved.
2d
2d
2d
journals.aps.org
The spatial organization of individuals and their interactions in communities are important factors known to preserve diversity in many complex systems. Inspired by metapopulation models from ecology,...
Diffusion-driven pattern formation in an opinion dynamical network model
Tim Mauch
Tim Mauch
Tim Mauch
Mind the gap! Next stop: Biodiversity Theory Our working group just digitized our research landscape using a classic London Tube map design. Every line is a team member; every station is a core topic or application we tackle. Check it out and see where our work interconnects!
19d
BioND Lab
At dpg this week? Then you don't want to miss Bernd Fernengel's talk about "Linear Dynamics on Infinite Networks". 11:45 AM, ZEU/0118
3mo