## Electronic Communications in Probability

### On the Semi-classical Brownian Bridge Measure

Xue-Mei Li

#### Abstract

We prove an integration by parts formula for the probability measure on the pinned path space induced by the Semi-classical Riemmanian Brownian Bridge, over a manifold with a pole, followed by a discussion on its equivalence with the Brownian Bridge measure.

#### Article information

Source
Electron. Commun. Probab. Volume 22 (2017), paper no. 38, 15 pp.

Dates
Accepted: 20 June 2017
First available in Project Euclid: 4 August 2017

https://projecteuclid.org/euclid.ecp/1501833630

Digital Object Identifier
doi:10.1214/17-ECP69

#### Citation

Li, Xue-Mei. On the Semi-classical Brownian Bridge Measure. Electron. Commun. Probab. 22 (2017), paper no. 38, 15 pp. doi:10.1214/17-ECP69. https://projecteuclid.org/euclid.ecp/1501833630.

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