Supersymmetric theory of stochastic dynamics: Difference between revisions

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and the theory of pseudo-Hermitian operators. It can be seen as an algebraic dual to the traditional set-theoretic framework of the dynamical systems theory, with its added algebraic structure and an inherent [[Supersymmetry#Supersymmetry in dynamical systems|topological supersymmetry]] (TS) enabling the generalization of certain concepts from [[Deterministic system|deterministic]] to [[Stochastic process|stochastic]] models.

Using tools of [[Topological quantum field theories|topological field theory]] originally developed in [[Particle physics|high-energy physics]], STS seeks to give a rigorous mathematical derivation to several [[Universality class|universal]] phenomena of [[Stochastic process|stochastic dynamical systems]]. Particularly, using tools of [[Topological quantum field theories|topological fieldthe theory]] originally developed in [[Particle physics|high-energy physics]]. The theory reveals thatidentifies dynamical chaos isas a sort of [[topology|topological]] order originating from the [[supersymmetry]] hidden in all stochastic models. The theorySTS also provides the lowest level classification of stochastic chaos which has a potential to explain [[Self-organized criticality|self-organized criticality]].

== Overview ==