A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf
.
Evolution of the Correlation Function for a Class of Processes Involving Nonlocal Self‐Replication
2002
Astrophysical Journal
A large class of evolutionary processes can be modeled by a rule which involves self-replication of some physical quantity with a non local rescaling. I show that a class of such models are exactly solvable -- in the discrete as well as continuum limit -- and can represent several physical situations as varied from the formation of galaxies in some cosmological models to growth of bacterial cultures. This class of models, in general, has no steady state solution and evolve unstably as t →∞ for
doi:10.1086/342922
fatcat:vnmoky2wofg2fgbyeavylg5iz4