## The Annals of Probability

### Note on the Ray-Knight Compactification

Joseph Glover

#### Abstract

We give an example to show that, given a nonhomogeneous Markov process $X$ on $E$, one cannot, in general, produce a right continuous strong Markov version of $X$ on a compactification of $E$. In particular, the space-time regularization fails to produce one compact Hausdorff state space for the nonhomogeneous process.

#### Article information

Source
Ann. Probab. Volume 7, Number 3 (1979), 543-546.

Dates
First available in Project Euclid: 19 April 2007

https://projecteuclid.org/euclid.aop/1176995055

Digital Object Identifier
doi:10.1214/aop/1176995055

Mathematical Reviews number (MathSciNet)
MR528332

Zentralblatt MATH identifier
0398.60074

JSTOR