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https://www.fhi.ox.ac.uk/wp-content/uploads/space-races-settling.pdf
This report examines the issue of the resource demands and constraints
for very fast large-scale settlement by technologically mature civilizations.
I derive various bounds due to the energy and matter requirements for
relativistic probes, and compare with bounds due to the need to avoid
collisions with interstellar dust. When two groups of the same species
race for the universe, the group with the biggest resources completely
preempts the other group under conditions of transparency. Expanding
nearby at a lower speed in order to gain resources to expand far at a high
speed is effective. If alien competitors are expected this sets a distance
scale affecting the desired probe distribution.