## Osaka Journal of Mathematics

### Infinite divisibility of random measures associated to some random Schrödinger operators

Fumihiko Nakano

#### Abstract

We study a random measure which describes distribution of eigenvalues and corresponding eigenfunctions of random Schrödinger operators on $L^{2}(\mathbf{R}^{d})$. We show that in the natural scaling every limiting point is infinitely divisible.

#### Article information

Source
Osaka J. Math., Volume 46, Number 3 (2009), 845-862.

Dates
First available in Project Euclid: 26 October 2009

https://projecteuclid.org/euclid.ojm/1256564209

Mathematical Reviews number (MathSciNet)
MR2583332

Zentralblatt MATH identifier
1180.82106

#### Citation

Nakano, Fumihiko. Infinite divisibility of random measures associated to some random Schrödinger operators. Osaka J. Math. 46 (2009), no. 3, 845--862. https://projecteuclid.org/euclid.ojm/1256564209

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