Mathematics – Probability
Scientific paper
2009-09-28
Mathematics
Probability
Scientific paper
Quasi-invariance under translation is established for the $ \sigma $-finite
measure unifying Brownian penalisations, which has been introduced by Najnudel,
Roynette and Yor. For this purpose, the theory of Wiener integrals for centered
Bessel processes, due to Funaki, Hariya and Yor, plays a key role.
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