teledyn ๐Beware the universal structural instability at particular fractal dimensions that can change fundamental properties!
What happens here? It's like a phase transition, a universal instability point. So my next question was, do graphs have fractal dimensions, like social graphs or network graphs, and yes, of course they do...
#mathmatters #fractaldimensions #nanoparticles #networks #complexity #chaos #surprise
https://pubs.rsc.org/en/content/articlelanding/2022/CP/D1CP04709D
The universal relationship between sample dimensions and cooperative phenomena: effects of fractal dimension on the electronic properties of high-TC cuprate observed using electron spin resonance
As demonstrated by the unique electronic properties of nanostructured materials, which are qualitatively different from the bulk properties of the same materials, there should be a general relationship between the dimensions of the sample structures and the physical/chemical properties. However, it is demand