I guess it depends on how you define "ceased". As far as I understand, people who are in comas, or in shock, etc., still have a measurable level of brain activity (as well as metabolic activity, actually). When a person is cryonically frozen, however, all metabolic activity ceases (again, I could be wrong about this).
One of the papers referenced by Alcor in support of cryonics is this one. In this case, the patient seems to have been revived after having no electrical activity at all, which should demonstrate that the brain is not storing your personality of identity in any kind of "RAM".
One of the papers referenced by Alcor in support of cryonics is this one. In this case, the patient seems to have been revived after having no electrical activity at all...
I don't have access to the full paper, but I read the abstract as saying, "the patient had no EEG activity, but we detected another type of activity that indicates signals being transmitted from his nerves through his spinal cord, and processed by the brain". See also my reply to lsparrish, below (or maybe above, I am getting kinda lost in this threading system).
From Mike Darwn's Chronopause, an essay titled "Would You Like Another Plate of This?", discussing people's attitudes to life:
Conclusion, graphs, and references in article. As usual, I recommend reading Chronopause.com as Darwin has many good articles; to quickly link a few: