Geodesic
Functional central limit theorem for excursion set volumes of quasi-associated random fields
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 19, Tome 412 (2013), pp. 109-120

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Stationary quasi-associated random fields with continuous covariance function are considered. Recently Bulinski, Spodarev, and Timmermann proved a central limit theorem for the excursion set volumes of such random fields. We establish a functional version of this theorem. 
@article{ZNSL_2013_412_a5,
     author = {V. P. Demichev},
     title = {Functional central limit theorem for  excursion set volumes of quasi-associated random fields},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {109--120},
     publisher = {mathdoc},
     volume = {412},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2013_412_a5/}
}
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V. P. Demichev. Functional central limit theorem for  excursion set volumes of quasi-associated random fields. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 19, Tome 412 (2013), pp. 109-120. http://geodesic.mathdoc.fr/item/ZNSL_2013_412_a5/