@article{EJP2928,
author = {Kenji Handa},
title = {Ergodic properties for $\alpha$-CIR models and a class of generalized Fleming-Viot processes},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {19},
year = {2014},
keywords = {measure-valued branching process; CIR model; spectral gap; generalized Fleming-Viot process},
abstract = {We discuss a Markov jump process regarded as a variant of the CIR (Cox-Ingersoll-Ross) model and its infinite-dimensional extension. These models belong to a class of measure-valued branching processes with immigration, whose jump mechanisms are governed by certain stable laws. The main result gives a lower spectral gap estimate for the generator. As an application, a certain ergodic property is shown for the generalized Fleming-Viot process obtained as the time-changed ratio process.},
pages = {no. 65, 1-25},
issn = {1083-6489},
doi = {10.1214/EJP.v19-2928},
url = {http://ejp.ejpecp.org/article/view/2928}}