Random walk and the heat equation on superspace and anyspace. (English) Zbl 0808.60090
Summary: Random walks are used to study diffusion on anyspace. Anyspace is characterized by coordinate \(\xi\) with \(\xi^ N = 0\) and statistics \(\xi \xi' = e^{2 \pi i/N} \xi' \xi\) between independent copies. Anyonic integration and anyonic Dirac \(\delta\) functions are introduced, and reduced to familiar results for supersymmetry when \(N = 2\). These ingredients are then used to formulate and solve the resulting anyonic diffusion equation.
MSC:
60K40 | Other physical applications of random processes |
60G50 | Sums of independent random variables; random walks |
81R99 | Groups and algebras in quantum theory |
References:
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