Supersymmetric theory of stochastic dynamics: Difference between revisions

Revision as of 00:28, 7 June 2025

Revision as of 00:29, 7 June 2025

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[[File:QuantumPhaseTransition.svg|thumb|STS seeks to describe the [[topological order]] which governs stochastic-chaos through [[Supersymmetric quantum mechanics|supersymmetry]].]] -->

'''Supersymmetric theory of stochastic dynamics''' ('''STS''') is a multidisciplinary approach to [[Stochastic process|stochastic]] dynamics on the intersection of [[dynamical systems theory]],

[[statistical physics]],

[[stochastic differential equation]]s (SDE),

[[Topological quantum field theories|topological field theories]],

[[stochastic differential equation]]s (SDE),

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.