## 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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### References:

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