Emergent Mind
Codes on graphs: Models for elementary algebraic topology and statistical physics
(1707.06621)
Published Jul 20, 2017
in
cs.IT
,
cond-mat.stat-mech
,
cs.SY
,
and
math.IT
Abstract
This paper is mainly a semi-tutorial introduction to elementary algebraic topology and its applications to Ising-type models of statistical physics, using graphical models of linear and group codes. It contains new material on systematic (n,k) group codes and their information sets; normal realizations of homology and cohomology spaces; dual and hybrid models; and connections with system-theoretic concepts such as observability, controllability, and input/output realizations.
We're not able to analyze this paper right now due to high demand.
Please check back later (sorry!).
Generate a summary of this paper on our Pro plan:
We ran into a problem analyzing this paper.