English

Concepts of polymer statistical topology

Statistical Mechanics 2016-08-24 v1 Geometric Topology Chemical Physics

Abstract

I review few conceptual steps in analytic description of topological interactions, which constitute the basis of a new interdisciplinary branch in mathematical physics, "Statistical Topology", emerged at the edge of topology and statistical physics of fluctuating non-phantom rope-like objects. This new branch is called statistical (or probabilistic) topology.

Keywords

Cite

@article{arxiv.1608.06529,
  title  = {Concepts of polymer statistical topology},
  author = {S. K. Nechaev},
  journal= {arXiv preprint arXiv:1608.06529},
  year   = {2016}
}

Comments

Notes based on several lectures at the SERC School on Topology and Condensed Matter Physics (organized in 2015 by RKM Vivekananda University at S.N Bose National Center for Basic Sciences, Calcutta, India), 34 pages, 15 figures, 98 references

R2 v1 2026-06-22T15:28:03.568Z