The registrar of the domain name send you three reminder to get renew your domain name. If you are fail to renew your domain name than it will shift to redemption period.
I think after one week of redemption period, if the registrar can't get the renewal fees than the domain are shifted to the expired domain and it is placed into a [b]10-day[/b] domain auction, allowing prospective registrants to bid on the domain.
Once the domain name allowed for auction, your authority has cancelled and after auction, winner will obtains the domain registration ownership two weeks after the auction end date.