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Supersymmetric measures and maximum principles in the complex domain. Exponential decay of Green’s functions. (English) Zbl 0941.47033
The authors study holomorphic measures which are – in a certain sense – close to complex Gaussian measures. It turns out that these measures can be reduced to product measures of real Gaussians using the maximum principle on a complex domain. The work is motivated by the investigation of a class of random Schrödinger operators. Using these techniques it is shown that their Green’s function decays exponentially.

MSC:
47B80 Random linear operators
46G12 Measures and integration on abstract linear spaces
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