Supersymmetric measures and maximum principles in the complex domain. Exponential decay of Green’s functions. (English) Zbl 0941.47033

Sjöstrand, J.; Wang, W.-M.

Ann. Sci. Éc. Norm. Supér. (4) 32, No. 3, 347-414 (1999).

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.

Reviewer: Heinz Siedentop (Regensburg)

MSC:

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

Keywords:

Anderson model; supersymmetric measures; holomorphic measures; Gaussian measures; random Schrödinger operators; Green’s function

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