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We derive the limit shape of Young diagrams, associated with growing integer partitions , with respect to multiplicative probability measures underpinned by the generating functions of the form F(z) = ∞ ℓ=1 F 0 (z ℓ) (which entails equal weighting among possible parts ℓ ∈ N). Under mild technical assumptions on the function H 0 (u) = ln (F 0 (u)), we show… (More)

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