Geodesic
On the properties of a class of random operators
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 32, Tome 510 (2022), pp. 143-164

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We consider random operators arising when one constructs a probabilistic representation of the resolvent of an operator $-\frac{1}{2} \frac{d}{dx}\big(b^2(x)\frac{d}{dx}\big)+V(x)$. We prove that with probability one these operators are linear integral operators and study properties of their kernels. 
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     title = {On the properties of a class of random operators},
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I. A. Ibragimov; N. V. Smorodina; M. M. Faddeev. On the properties of a class of random operators. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 32, Tome 510 (2022), pp. 143-164. http://geodesic.mathdoc.fr/item/ZNSL_2022_510_a7/