98-116 J. Sj\"ostrand, W.-M. Wang

Supersymmetric Measures and Maximum Principles in the Complex Domain: Exponential Decay of Green's Functions (189K, TEX) Mar 2, 98

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Abstract. We study a class of holomorphic complex measures, which is close in an appropriate sense to a complex Gaussian. We show that these measures can be reduced to a product measure of real Gaussians with the aid of a maximum principle in the complex domain. The formulation of this problem has its origin in the study of a certain class of random Sch\"odinger operators, for which we show that the expectation value of the Green's function decays exponentially.

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