منابع مشابه
T . E . Harris ’ contributions to Interacting Particle Systems and Percolation
This is a bird’s eye view of T. E. Harris’ work on interacting particle systems and percolation, and of its impact on later work in probability theory and mathematical physics.
متن کاملReconstruction of the Bellman-Harris branching
Consider the single-species, independent-particle, Bellman-Harris 9 branching process, defined by a progeny number distribution, and a particle 10 lifetime distribution. In this paper, we explore the existence and uniqueness of 11 the inverse problem, where one wishes to solve for the progeny number or lifetime 12 distribution given information about the total number distribution. Results 13 ar...
متن کاملBranching Processes and Applications
These are notes of a talk given at the probability student seminar in the Weizmann institute of science on September 2011. After introducing Galton-Watson branching process, we consider conditions for which the process survives forever and for which it has a binary tree as a subtree with the same root. As an application, Mandelbrot’s fractal percolation model is discussed.
متن کاملBranching Processes
Galton-Watson processes were introduced by Francis Galton in 1889 as a simple mathematical model for the propagation of family names. They were reinvented by Leo Szilard in the late 1930s as models for the proliferation of free neutrons in a nuclear fission reaction. Generalizations of the extinction probability formulas that we shall derive below played a role in the calculation of the critica...
متن کاملBranching Processes
The study of branching processes began in the 1840s with Irénée-Jules Bienaymé, a probabilist and statistician, and was advanced in the 1870s with the work of Reverend Henry William Watson, a clergyman and mathematician, and Francis Galton, a biometrician. In 1873, Galton sent a problem to the Educational Times regarding the survival of family names. When he did not receive a satisfactory answe...
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 2011
ISSN: 0091-1798
DOI: 10.1214/10-aop599