Abstract
The Brownian reference measure on periodic functions provides a framework for investigating more general circular processes. These include a significant class of periodic diffusions. We illustrate by proposing simple analytic criteria for finiteness and absolute continuity of the intrinsic circular measure associated to drifting Brownian motion. Our approach exploits a property of approximate bridges.
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McGill, P. (2018). On Drifting Brownian Motion Made Periodic. In: Donati-Martin, C., Lejay, A., Rouault, A. (eds) Séminaire de Probabilités XLIX. Lecture Notes in Mathematics(), vol 2215. Springer, Cham. https://doi.org/10.1007/978-3-319-92420-5_9
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DOI: https://doi.org/10.1007/978-3-319-92420-5_9
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