Abstract

A one-dimensional, continuous, regular, and strong Markov process X with state space E hits any point z ∈ E fast with positive probability. To wit, if τz = inf{t ≥ 0 : Xt = z}, thenPξ(τz <ε)>0forallξ∈Eandε>0.
Keywords: diffusion; hitting time; support.
AMS MSC 2010: 60J60.
Submitted to ECP on September 8, 2015, final version accepted on February 25, 2016.

Link to Paper »

Authors

Cameron Bruggeman, Johannes Ruf, others

Year

2016

Journal

Electronic Communications in Probability, (21).

Keywords

Complex networks, Complex Systems, Computation and Language, Computational Finance, Economics, and Finance