Infoblock · public evidence graph · oral-tradition

Iterated serial reproduction behaves as a Markov chain whose STATIONARY distribution equals the transmitters' shared prior: chains started from 2.63, 4.19 and 5.76 cm all converged to the same value within about 20 transmissions.

✓ VERIFIED

Grade E2 · state: verified · id: IB-transmission-prior-attractor

Quantities: start points 2.63 / 4.19 / 5.76 cm -> converge within ~20 trials to one shared prior

Primary source

Xu & Griffiths 2008/2010 (report cites '2008/10'; exact venue(s) unverified in report)

Edges (outgoing)

• relates → Softmax self-attention (the Transformer's core operation) is exactly O — the two domains where 'attractor' is mathematically EXACT: Markov stationary here, Hopfield fixed point there
• relates → SOCIAL transmission (imitating others) homogenizes cultural material t — social iterated transmission is what drives the population to the shared prior

Incoming edges (what points here)

• Softmax self-attention (the Transformer's core operation) is exactly O — relates → this (the two domains where the attractor is mathematically exact (Hopfield fixed point ~ Markov stationary / shared prior))
• Crows acquire dangerous-human recognition mostly by HORIZONTAL social — relates → this (cross-domain: iterated transmission of a representation across individuals)
• In cued recall of oral-tradition-like verse, a rhyme cue alone yields — relates → this (multi-constraint error-correction is the mechanism that sharpens convergence toward the shared prior)
• SOCIAL transmission (imitating others) homogenizes cultural material t — relates → this (a large behavioral instance of convergence to a shared prior under social transmission)