## Electronic Communications in Probability

### On hypoelliptic bridge

Xue-Mei Li

#### Abstract

A conditioned hypoelliptic process on a compact manifold, satisfying the strong Hörmander’s condition, is a hypoelliptic bridge. If the Markov generator satisfies the two step strong Hörmander condition, the drift of the conditioned hypoelliptic bridge is integrable on $[0,1]$ and the hypoelliptic bridge is a continuous semi-martingale.

#### Article information

Source
Electron. Commun. Probab. Volume 21 (2016), paper no. 24, 12 pp.

Dates
Accepted: 4 March 2016
First available in Project Euclid: 10 March 2016

https://projecteuclid.org/euclid.ecp/1457617915

Digital Object Identifier
doi:10.1214/16-ECP4646

Zentralblatt MATH identifier
1345.60089

#### Citation

Li, Xue-Mei. On hypoelliptic bridge. Electron. Commun. Probab. 21 (2016), paper no. 24, 12 pp. doi:10.1214/16-ECP4646. https://projecteuclid.org/euclid.ecp/1457617915.

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