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Topological supersymmetry breaking: The definition and stochastic generalization of chaos and the limit of applicability of statistics

2016
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Modern physics letters B
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The concept of deterministic dynamical chaos has a long history and is well established by now. Nevertheless, its field theoretic essence and its stochastic generalization have been revealed only very recently. Within the newly found supersymmetric theory of stochastics (STS), all stochastic differential equations (SDEs) possess topological or de Rahm supersymmetry and stochastic chaos is the phenomenon of its spontaneous breakdown. Even though the STS is free of approximations and thus is

doi:10.1142/s021798491650086x
fatcat:umpbpeamt5hgnn5rfg2pn7odju