A Fixed Point Theorem for Distributions

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Elementary fixed points of the BRW smoothing transforms with infinite number of summands (2003, methodology): “The reader may want to consult Rösler (1992) and Rachev and Rüschendorf (1995) where the Contraction Principle is used to study transforms more general than ours.”
On the contraction method with degenerate limit equation (2004, methodology): “It has been introduced for the analysis of the Quicksort algorithm in Rösler (1991) and further developed independently in Rösler (1992, 2001) and Rachev and Rüschendorf (1995), see also the survey article of Rösler and Rüschendorf (2001).”
Probabilities on cladograms: introduction to the alpha model (2005, background): “The limiting distribution satisfies a fixed-point equation given by Rosler in [23], and has variance σ = 7− 2π(2) 3 .”
Fixed Points of the Smoothing Transform: the Boundary Case (2005, background): “…literature on these and related questions; see, for example, Kahane and Peyrière (1976), Biggins (1977), Durrett and Liggett (1983), Pakes (1992), Rösler (1992), Biggins and Kyprianou (1997), Liu (1998), Liu (2000), Iksanov and Jurek (2002), Iksanov (2004), Caliebe and Rösler (2003) and…”
Random walk on sparse random digraphs (2015, background): “A more general version of (9) has been studied by Rösler [37], Liu [28–31] and Barral [4,5].”