The argmin process of random walks and L\'evy processes
Probability
2018-06-22 v2
Abstract
In this paper we consider the argmin process of random walks and L\'evy processes. We prove that they enjoy the Markov property, and provide their transition kernels in some special cases.
Cite
@article{arxiv.1610.05869,
title = {The argmin process of random walks and L\'evy processes},
author = {Jim Pitman and Wenpin Tang},
journal= {arXiv preprint arXiv:1610.05869},
year = {2018}
}
Comments
12 pages. The paper is merged into arXiv:1610.01524