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Jagers, J. (2017) Beyond Galton-Watson Processes: Forests, Duals, and Ranks.
BibTeX
@mastersthesis{
Jagers2017,
author={Jagers, Jonas},
title={Beyond Galton-Watson Processes: Forests, Duals, and Ranks},
abstract={A random forest is a random graph (V,E) with a set of vertices V = N20
and a set
of edges E = {ev, v 2 V } satisfying the following property: if v = (x, t + 1), then
ev = (v, v0), where v0 = (x0, t) and x0 = 't(x) is an increasing stochastic process in
x. For a given forest, there is a unique way to draw a dual forest. These forests
can be used as a graphical representation of discrete time reproduction processes
forward and backward in time. They also serve to introduce a new concept, ranked
Galton-Watson processes, where individual reproduction depends on the position
in the population. A main result is that the dual process to a Galton-Watson
process in varying environments with immigration is a Galton-Watson process in
varying environments if and only if the reproduction and immigration laws of the
first process are linear fractional.},
year={2017},
}
RefWorks
RT Generic
SR Electronic
ID 252196
A1 Jagers, Jonas
T1 Beyond Galton-Watson Processes: Forests, Duals, and Ranks
YR 2017
AB A random forest is a random graph (V,E) with a set of vertices V = N20
and a set
of edges E = {ev, v 2 V } satisfying the following property: if v = (x, t + 1), then
ev = (v, v0), where v0 = (x0, t) and x0 = 't(x) is an increasing stochastic process in
x. For a given forest, there is a unique way to draw a dual forest. These forests
can be used as a graphical representation of discrete time reproduction processes
forward and backward in time. They also serve to introduce a new concept, ranked
Galton-Watson processes, where individual reproduction depends on the position
in the population. A main result is that the dual process to a Galton-Watson
process in varying environments with immigration is a Galton-Watson process in
varying environments if and only if the reproduction and immigration laws of the
first process are linear fractional.
LA eng
LK http://publications.lib.chalmers.se/records/fulltext/252196/252196.pdf
OL 30
