Limit theorems for triangular urn schemes

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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.”
Analytic Combinatorics (2009, background): “(The book by Johnson and Kotz [357] can serve as an elementary introduction to the field; Janson otherwise develops a comprehensive pr obabilistic approach in [349, 351].”
Degree asymptotics with rates for preferential attachment random graphs (2011, background): “In fact, Janson (2006), Example 3.1, discusses these limits, but, with the exception of the case s = 1, it does not appear that the decomposition of Proposition 2.3 has previously been exposed.”
A survey of random processes with reinforcement (2006, methodology): “ize, diagonal entries may be as small as −1, and the irreducibility assumption is weakened to the largest eigenvalue λ1 having multiplicity 1 and being “dominant”. This last requirement is removed in [Jan05], which combines the embedding approach with some computations at times τn via generating fun”
Invariance principles for spatial multitype Galton–Watson trees (2006, background): “On the other hand, Janson [9] has shown that if the irreducibility assumption fails to hold, many different behaviors can occur.”