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A functional limit law for the profile of plane-oriented recursive trees. [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 We give a functional limit law for the normalized profile of random plane-oriented recursive trees. The proof uses martingale convergence theorems in discrete and continuous-time. This complements results of Hwang (2007).
Henning Sulzbach
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DTFLOW: Inference and Visualization of Single-cell Pseudotime Trajectory Using Diffusion Propagation
Genomics, Proteomics & Bioinformatics, 2021 One of the major challenges in single-cell data analysis is the determination of cellular developmental trajectories using single-cell data. Although substantial studies have been conducted in recent years, more effective methods are still strongly ...
Jiangyong Wei +3 more
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Exact convergence rates in central limit theorems for a branching random walk with a random environment in time [PDF]
, 2015 Chen [Ann. Appl. Probab. {\bf 11} (2001), 1242--1262] derived exact convergence rates in a central limit theorem and a local limit theorem for a supercritical branching Wiener process.We extend Chen's results to a branching random walk under weaker ...
Gao, Zhiqiang, Liu, Quansheng
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Advancing hybrid quantum–classical computation with real-time execution
Frontiers in Physics, 2022 The use of mid-circuit measurement and qubit reset within quantum programs has been introduced recently and several applications demonstrated that perform conditional branching based on these measurements.
Thomas Lubinski +6 more
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Poisson–Dirichlet branching random walks
The Annals of Applied Probability, 2013 Published in at http://dx.doi.org/10.1214/12-AAP840 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Addario-Berry, Louigi, Ford, Kevin
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A probabilistic model for martensitic avalanches
MATEC Web of Conferences, 2015 We present a probabilistic model for the description of martensitic avalanches. Our approach to the analysis of the model is based on an associated general branching random walk process. Comparisons are reported for numerical and analytical solutions and
Ball John M. +2 more
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COVER TIME FOR THE FROG MODEL ON TREES
Forum of Mathematics, Sigma, 2019 The frog model is a branching random walk on a graph in which particles branch only at unvisited sites. Consider an initial particle density of $\unicode[STIX]{x1D707}$ on the full $d$-ary tree of height $n$.
CHRISTOPHER HOFFMAN +2 more
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A generating function approach to branching random walks
, 2016 It is well known that the behaviour of a branching process is completely described by the generating function of the offspring law and its fixed points.
Bertacchi, Daniela, Zucca, Fabio
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Biological network growth in complex environments: A computational framework.
PLoS Computational Biology, 2020 Spatial biological networks are abundant on all scales of life, from single cells to ecosystems, and perform various important functions including signal transmission and nutrient transport.
Torsten Johann Paul +1 more
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Criticality for branching processes in random environment
, 2005 We study branching processes in an i.i.d. random environment, where the associated random walk is of the oscillating type. This class of processes generalizes the classical notion of criticality.
Afanasyev, V. I. +3 more
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