Abstract
An alternative approach to the study of some aspects of labelled branching processes is to consider the embedded unlabelled process formulated directly in terms of the labels themselves thought of as “individuals” in a population of labels. The resulting branching process, let us call it the label process, turns out to be completely characterized by the underlying one. This is not very surprising since nothing new is involved. In Chapter Ten we shall discuss the logical foundation of this and other similar embeddings. In §4.1 we present an attempt to actually construct the label process and to check its “good behaviour” in the sense of Chapter One. In the remaining sections we describe some aspects of the labelled population that are more conveniently formulated and studied in terms of the label process.
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© 1992 Springer-Verlag Berlin Heidelberg
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Taïb, Z. (1992). The Label Process. In: Branching Processes and Neutral Evolution. Lecture Notes in Biomathematics, vol 93. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-51536-1_5
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DOI: https://doi.org/10.1007/978-3-642-51536-1_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-55529-2
Online ISBN: 978-3-642-51536-1
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