English

Self-replicating functions and the renormalization group

Mathematical Physics 2009-09-29 v1 math.MP

Abstract

The partial success of the block renormalization group techniques is analysed in terms of a functional operator which formalizes the idea of self-replicability of a system in terms of smaller blocks which are similar to the original. The mathematical properties of the fixed points of this transformation are analyzed.

Keywords

Cite

@article{arxiv.0809.3694,
  title  = {Self-replicating functions and the renormalization group},
  author = {Javier Rodriguez-Laguna and German Sierra},
  journal= {arXiv preprint arXiv:0809.3694},
  year   = {2009}
}
R2 v1 2026-06-21T11:22:46.824Z