Dictator functions maximize Φ-stability locally for balanced Boolean functions; computer methods confirm Courtade-Kumar conjecture for ρ≤0.914 and symmetrized Li-Médard for q∈[1.36,2).
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Local Optimality of Dictator Functions with Applications to Courtade--Kumar and Li--M\'edard Conjectures
Dictator functions maximize Φ-stability locally for balanced Boolean functions; computer methods confirm Courtade-Kumar conjecture for ρ≤0.914 and symmetrized Li-Médard for q∈[1.36,2).