Cartesian products of the Sierpiński carpet (and similar self-similar fractals) with itself at least twice do not attain their conformal dimension.
Iterated graph systems and the combi- natorial loewner property
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Extends Edge Iterated Graph Systems to reducible cases with new definitions and proofs that multiscale-freeness and multifractality have finite discrete spectra.
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Cartesian products of Sierpi\'nski carpets do not attain their conformal dimension
Cartesian products of the Sierpiński carpet (and similar self-similar fractals) with itself at least twice do not attain their conformal dimension.
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Reducible Iterated Graph Systems: multiscale-freeness and multifractals
Extends Edge Iterated Graph Systems to reducible cases with new definitions and proofs that multiscale-freeness and multifractality have finite discrete spectra.
- Iterated Graph Systems (I): random walks and diffusion limits