Sharp return probability asymptotic p_{2n}(e,e) = ρ_d^{2n} exp[−(π²(log(d−1))² + o(1)) n / log² n] for the switch-walk-switch lamplighter walk with Z_2 lamps on the infinite d-regular tree, with proofs generated by the QED AI system.
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Return Probability for the Switch--Walk--Switch Lamplighter Walk on a Regular Tree
Sharp return probability asymptotic p_{2n}(e,e) = ρ_d^{2n} exp[−(π²(log(d−1))² + o(1)) n / log² n] for the switch-walk-switch lamplighter walk with Z_2 lamps on the infinite d-regular tree, with proofs generated by the QED AI system.