2016/08/23 by S. K. Nechaev, Nechaev, S. K.
Mathematics · Physics and Astronomy · #Chemical Physics (physics.chem-ph) #FOS: Mathematics #FOS: Physical sciences #Geometric Topology (math.GT) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #math.GT #physics.chem-ph
paper · pdf · doi:10.48550/arxiv.1608.06529
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
arxiv created 2016/08/23 · arxiv updated 2016/08/24
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.