On the Integrability of the Limit of a Supercritical Branching Process
Flows in Networks and Hausdorff Measures Associated. Applications to Fractal Sets in Euclidian Space
The Exact Hausdorff Dimension of a Branching Set
Fixed Points of a Generalized Smoothing Transformation and Applications to Branching Processes
On the Survival Probability of a Branching Process in a Random Environment
Products of Random Weights Indexed by Galton-Watson Trees
On the survival probability of a branching process in a random environment
Local dimensions of the branching measure on a Galton–Watson tree
Limit distributions for multitype branching processes of -ary search trees
Let be an integer. The so-calledis a discrete time Markov chain which is very popular in theoretical computer science, modelling famous algorithms used in searching and sorting. This random process satisfies a well-known phase transition: when , the asymptotic behavior of the process is Gaussian, but for it is no longer Gaussian and a limit of a complex-valued martingale arises. In this paper, we consider the multitype branching process which is the continuous time version of the -ary search...
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