Abstract
We consider a drift-reversed version of the celebrated Ehrenfest urn process with N balls. For this ‘dual’ process, the boundaries are assumed to be absorbing and so the killing times at the boundaries play a central role. Three natural conditionings on the fixation/extinction events pertaining to this model are investigated. Some spectral information on the conditioned Markoff chains is obtained, allowing us to draw precise new conclusions on their limiting behaviors.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have