8 records · compact density · grouped by kind, state glyph on every row · all tags
probes3
P-036A Tanner code on the squared coset graph — the empirical code ceiling of the intermediate-growth host, now that N-034 rules out an expander code on the graph itselfprobe
P-044The seam orbit as a register — capacity and write cost of the host's memory, from the group action instead of quenchesprobe
P-045A quantum walk on the intermediate-growth cell — is the boundary a quasicrystal and the bulk a flat-band localizer, or is the analogy decorative?probe
notes4
N-026The intermediate-growth cell is real — effective dimension grows without bound, computed on the Grigorchuk groupnote
N-028N/log N three ways — one shape, two breaks.note
N-034The coset graph is a union of squares, and squares kill unique-neighbour expansion — no expander code on the intermediate-growth host at any levelnote
N-036Two routes to zero unique-neighbour expansion on a Cayley graph, both through g² — the Klein-four squares of N-034 and the cosets of ⟨g²⟩ found on Basilica and Aleshinnote
cases1
CASE-30Every lowest-cut bisection found on a self-similar graph carries exactly the same number of independently flippable vertices — what fixes that number, and is there a ground state without it?case
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