Some exactly solvable models of urn process theory

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Some families of increasing planar maps (2007, unknown): “[20, p.94] (to use their results, take a 0 = 3, b 0 = 2 j − 2, σ = 2, α = 1 and replace n by n − j ).”
Analytic Combinatorics (2009, methodology): “The system can be solved by a sequence of manipulations (this is general [225]): starting with X′′ = 2Y Y′ = 2 √ X′X2, implying X′′ √ X′ = 2X′X2,”
Moments of Gamma type and the Brownian supremum process area (2010, methodology): “It is shown that the integral of the supremum process of Brownian motion has moments of this type, as well as a related random variable occuring in the study of hashing with linear displacement, and the general results are applied to these variables.”