Exact small ball constants for some Gaussian processes under $L^2$-norm
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 6, Tome 298 (2003), pp. 5-21

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We find some logarithmic and exact small deviation asymptotics for the $L^2$-norm of certain Gaussian processes closely connected with the Wiener process. In particular the processes obtained by centering and integrating Brownian motion and Brownian bridge are examined.
@article{ZNSL_2003_298_a0,
     author = {L. Beghin and Ya. Yu. Nikitin and E. Orsingher},
     title = {Exact small ball constants for some {Gaussian} processes under $L^2$-norm},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {5--21},
     publisher = {mathdoc},
     volume = {298},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2003_298_a0/}
}
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L. Beghin; Ya. Yu. Nikitin; E. Orsingher. Exact small ball constants for some Gaussian processes under $L^2$-norm. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 6, Tome 298 (2003), pp. 5-21. http://geodesic.mathdoc.fr/item/ZNSL_2003_298_a0/