Remarks on invariance of population distributions for systems with equivariant internal dynamics
Quantitative Methods
2011-08-17 v1
Abstract
For velocity-jump Markov processes with equivariant internal dynamics, we remark that population distributions are invariant. This provides a formalization of the fact that FCD (scale) and other symmetry invariant systems perform identical spatial searches under input transformations.
Keywords
Cite
@article{arxiv.1108.3245,
title = {Remarks on invariance of population distributions for systems with equivariant internal dynamics},
author = {Eduardo D. Sontag},
journal= {arXiv preprint arXiv:1108.3245},
year = {2011}
}