Web1 iul. 2016 · The first principal result (Theorem 3) relates to the vector denoting the numbers of particles of each type at the n th generation in processes without immigration. It is … Web15 nov. 1998 · Introduction. Multitype Galton–Watson chains may be used to model with a considerable degree of accuracy various processes of a stochastic nature. Discrete Galton–Watson chains occur in physics and chemistry in the context of nuclear and chemical chain reactions; in formal language theory, they model the rewrite rules of …
Simulation of a multitype Galton–Watson chain - ScienceDirect
Web2 The Galton–Watsonprocess In this section we define a multitype Galton–Watson process driving the dynamics of a finite population, which incorporates both selection and mu-tation effects. Let us begin by introducing the individuals that will form the population. Individuals. Let A be a finite alphabet of cardinality κ ≥ 1, and consider WebMulti-type Galton-Watson Processes with Affinity-Dependent Selection Applied to Antibody Affinity Maturation Multi-type Galton-Watson Processes with Affinity-Dependent … jeleniagora.pl
Probability of extinction of critical generation-dependent Galton ...
Web5 oct. 2024 · As far as I understood, for the Galton-Watson tree process, the offspring are of one type. I am thinking of the case where we have offspring of different types. I have … Web1 iul. 2016 · The asymptotic behaviour of those k-type (k ≥ 1) Galton-Watson processes (both with and without immigration) with ρ close to unity is considered. The first principal result (Theorem 3) relates to the vector denoting the numbers of particles of each type at the n th generation in processes without immigration. It is shown that, when normed in a … Web1 iun. 2024 · Multitype Galton–Watson processes with immigration were introduced and studied by Quine (1970). Recently, Cerf and Dalmau (2024) obtained probabilistic … jelenia gora oplata skarbowa