Geodesic
A Central Limit Theorem for Integrals with Respect to Random Measures
Matematičeskie zametki, Tome 95 (2014) no. 2, pp. 209-221

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Integrals with respect to stationary random measures are considered. A central limit theorem for such integrals is proved. The results are applied to obtain a functional central limit theorem for transformed solutions of the Burgers equation with random initial data.
Keywords: central limit theorem, integral with respect to a stationary random measure, Burgers equation with random initial data. 
@article{MZM_2014_95_2_a3,
     author = {V. P. Demichev},
     title = {A {Central} {Limit} {Theorem} for {Integrals} with {Respect} to {Random} {Measures}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {209--221},
     publisher = {mathdoc},
     volume = {95},
     number = {2},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2014_95_2_a3/}
}
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V. P. Demichev. A Central Limit Theorem for Integrals with Respect to Random Measures. Matematičeskie zametki, Tome 95 (2014) no. 2, pp. 209-221. http://geodesic.mathdoc.fr/item/MZM_2014_95_2_a3/