ESN spectral-radius verification: W = [[0, 1/2], [1/2, 0]] has rho = 1/2 < 1 (ESP holds)

Layer 1 — Physicsin the neuromorphic-computing subtree

Concrete ESN spectral-radius verification via 2x2 example. From framework F8 (Perron-Frobenius), consider the canonical 2x2 symmetric reservoir matrix W = [[0, 1/2], [1/2, 0]] (permutation-like with off-diagonal scale). By direct…

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Echo state property: spectral-radius rho(W) < 1 via Perron-Frobenius on |W|

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