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81
Simply generated trees, conditioned Galton―Watson trees, random allocations and condensation: Extended abstract
Published 2012-01-01Subjects: Get full text
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82
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Processing and Transmission of Information
Published 2010Subjects: “…Relationships between Random Trees and Branching Processes…”
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Technical Report -
84
The Diameter of the Minimum Spanning Tree of a Complete Graph
Published 2006-01-01Subjects: Get full text
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STRONG APPROXIMATIONS FOR EPIDEMIC MODELS
Published 1995“…A construction of a sequence of such epidemics, indexed by the initial number of susceptibles N, from the limiting branching process is described. Strong convergence of the epidemic processes to the branching process is shown when the latter goes extinct. …”
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87
The Hausdorff spectrum for a class of multifractal processes
Published 2014“…The Multifractal Embedded Branching Process (MEBP) process and Canonical Embedded Branching Process (CEBP) process were introduced by Decrouez and Jones (2012). …”
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88
A note on weak convergence results for uniform infinite causal triangulations
Published 2011“…We discuss uniform infinite causal triangulations and equivalence to the size biased branching process measure - the critical Galton-Watson branching process distribution conditioned on non-extinction. …”
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89
Approximating the epidemic curve
Published 2013“…The numbers of infected individuals during the initial stages of an epidemic can be well approximated by a branching process, after which the proportion of individuals that are susceptible follows a more or less deterministic course. …”
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90
A probabilistic model for interfaces in a martensitic phase transition
Published 2022“…In doing so we extend a theorem on the growth of the general branching random walk as well as developing results on the tail behaviour of the limiting random variable in our general branching process. …”
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91
Unambiguous and finitely ambiguous automata
Published 2022“…</p> <p>Lastly, we consider model checking of branching processes against LTL formulas using an automata theoretic approach. …”
Thesis -
92
The Asymptotic Behavior for Generalized Jiřina Process
Published 2022-12-01“…As the classic branching process, the Galton-Watson process has obtained intensive attentions in the past decades. …”
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93
From neuronal spikes to avalanches: Effects and circumvention of time binning
Published 2022-06-01“…First, the article introduces and characterizes a continuous-time version of the branching process with immigration, which will be called the pumped branching process, and second, it presents an analytical derivation of the corresponding spike statistics, which can be directly compared to observed spike time series. …”
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94
SuperBrownian motion and the spatial Lambda-Fleming-Viot process
Published 2018“…It is well known that the dynamics of a subpopulation of individuals of a rare type in a Wright-Fisher diffusion can be approximated by a Feller branching process. Here we establish an analogue of that result for a spatially distributed population whose dynamics are described by a spatial Lambda-Fleming-Viot process (SLFV). …”
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95
Will an outbreak exceed available resources for control? Estimating the risk from invading pathogens using practical definitions of a severe epidemic
Published 2020“…Standard epidemic risk estimates involve assuming that infections occur according to a branching process and correspond to the probability that the outbreak persists beyond the initial stochastic phase. …”
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96
On the geometric and analytic properties of some random fractals
Published 2014“…</p> <p>To study the fluctuations around these asymptotics, we prove a central limit theorem for the general branching process. The proof follows a standard Taylor expansion argument and relies on the independence built into the general branching process. …”
Thesis -
97
The small giant component in scale-free random graphs
Published 2005“…In all cases the method used is to couple the neighbourhood expansion process in the graph on n vertices with a continuous-type branching process that is independent of n. It can be shown (requiring some separate argument for each case) that with probability tending to 1 as $n\to\infty$ the size of the giant component divided by n is within $o(1)$ of the survival probability $\ sigma$ of the branching process. …”
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98
Textbook of Phylogenetics /
Published 2012“…Evolution is regarded as a branching process, whereby populations are altered over time and may speciate into separate branches, hybridize together, or terminate by extinction. …”
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software, multimedia -
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Growth by basal branching in two species of Huicungo palms, Astrocaryum carnosum and A. huicungo
Published 2015-04-01“…The basal branching process of Astrocaryum carnosum and A. huicungo is described and its rate and structural expression at the population level is analyzed. …”
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100
The shortest distance in random multi-type intersection graphs
Published 2010“…Using an associated branching process as the basis of our approximation, we show that typical inter-point distances in a multitype random intersection graph have a defective distribution, which is well described by a mixture of translated and scaled Gumbel distributions, the missing mass corresponding to the event that the vertices are not in the same component of the graph.…”
Journal article