Corpus ID: 235187240

Mean Field Behavior during the Big Bang for Coalescing Random Walk

@inproceedings{Hermon2021MeanFB,
  title={Mean Field Behavior during the Big Bang for Coalescing Random Walk},
  author={J. Hermon and Shuangping Li and Dong Yao and Lingfu Zhang},
  year={2021}
}
  • J. Hermon, Shuangping Li, +1 author Lingfu Zhang
  • Published 2021
  • Mathematics
In this paper we consider the coalescing random walk model on general graphs G = (V,E). We set up a unified framework to study the leading order of decay rate of Pt, the expectation of the fraction of occupied sites at time t, particularly for the ‘Big Bang’ regime where t≪ tcoal := E[inf{s : There is only one particle at time s}]. Our results show that Pt satisfies certain ‘mean field behavior’, if the graphs satisfy certain ‘transience-like’ conditions. We apply this framework to two families… Expand