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In the Garden of Branching Processes
SIAM Review, 2004 The review article summarizes the theory of multitype branching processes in continuous time. The process includes immigration which is modelled as a Poisson stream of immigrant particles. Marked Poisson processes and Campbell's formulae are applied. The extinction probability is calculated.
Karin S. Dorman +2 more
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Geometric branching reproduction Markov processes
Modern Stochastics: Theory and Applications, 2020 We present a model of a continuous-time Markov branching process with the infinitesimal generating function defined by the geometric probability distribution.
Assen Tchorbadjieff, Penka Mayster
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A calculus of branching processes
Theoretical Computer Science, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ehrhard, Thomas +2 more
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Transposed Branching Processes
Journal of the Royal Statistical Society Series B: Statistical Methodology, 1954 Summary We shall show in this paper how, in studying the growth-rate of a deterministic branching process, a simple change of viewpoint, which is quite trivial theoretically, may nevertheless lead to surprising computational simplifications; and, in the course of this, we shall indicate a basis on which the generated population can ...
Hammersley, J. M., Morton, K. W.
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Timed Branching Processes [PDF]
2010 Seventh International Conference on the Quantitative Evaluation of Systems, 2010 We study Timed Branching Processes (TBPs), a natural extension of (multitype) Branching Processes (BPs) where each entity is equipped with a finite set of private continuous variables, called clocks. Clocks grow uniformly with the same rate and using them various timing constraints can be imposed on the branching rules of the system, e.g.
Ashutosh Trivedi 0001, Dominik Wojtczak
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Discovering branching conditions from business process execution logs [PDF]
, 2013 Process mining is a family of techniques to discover business process models and other knowledge of business processes from event logs. Existing process mining techniques are geared towards discovering models that capture the order of execution of tasks,
Leoni, de, M. +4 more
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A full lifespan model of vertebrate lens growth [PDF]
Royal Society Open Science, 2017 The mathematical determinants of vertebrate organ growth have yet to be elucidated fully. Here, we utilized empirical measurements and a dynamic branching process-based model to examine the growth of a simple organ system, the mouse lens, from E14.5 ...
Hrvoje Šikić +3 more
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Limiting Behaviors of Stochastic Spread Models Using Branching Processes
Axioms, 2023 In this paper, we introduce a spread model using multi-type branching processes to investigate the evolution of the population during a pandemic in which individuals are classified into different types.
Jyy-I Hong
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Branching Processes - A General Concept
Latin American Journal of Probability and Mathematical Statistics, 2021 The paper has four goals. First, we want to generalize the classical concept of the branching property so that it becomes applicable for historical and genealogical processes (using the coding of genealogies by ($V$-marked) ultrametric measure spaces leading to state spaces $\mathbb{U}$ resp. $\mathbb{U}^V$).
Greven, Andreas +2 more
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Mathematical Modelling and Analysis, 2010 In this paper, we consider the Monte Carlo method for finding the solution of nonlinear integral equations at a fixed point xo‐ In this method, simulated Galton‐Watson branching process is employed for solving the proposed integral equation.
Behrouz Fathi Vajargah, Mojtaba Moradi
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