On Small Deviation Asymptotics In L2 of Some Mixed Gaussian Processes

We study the exact small deviation asymptotics with respect to the Hilbert norm for some mixed Gaussian processes. The simplest example here is the linear combination of the Wiener process and the Brownian bridge. We get the precise final result in this case and in some examples of more complicated...

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Bibliographic Details
Main Authors: Alexander I. Nazarov, Yakov Yu. Nikitin
Format: Article
Language:English
Published: MDPI AG 2018-04-01
Series:Mathematics
Subjects:
Online Access:http://www.mdpi.com/2227-7390/6/4/55