In this paper we consider the problem of finding entrance laws at the origin for self-similar Markov processes in Rd, killed upon hitting the origin. Under suitable assumptions, we show the existence of an entrance law and the convergence to this law when the process is started close to the origin. We obtain an explicit description of the process started from the origin as the time reversal of the original self-similar Markov process conditioned to hit the origin.
- Department of Mathematical Sciences - Professor
- EPSRC Centre for Doctoral Training in Statistical Applied Mathematics (SAMBa)
- Probability Laboratory at Bath
- Institute for Mathematical Innovation (IMI) - Director of the Bath Institute for Mathematical Innovation
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