Using Median to publish podcasts is easy! Every user, category, playlist, group, etc, has built-in iTunes-compatible RSS feeds available through Median. Any audio or video file will be iTunes-compatible through Median's backend transcoding.
To do this, you must make sure the settings on your media entries are as follows:
When these conditions are met, your content will automatically be available in the RSS feed for whatever channel you've added the entry to. You can find a link to the RSS feed by clicking the orange RSS feed button in the top-right of any Listing page.
Additionally, feel free to use third-party services like Feedburner to get in-depth analytics on your RSS feeds, as Median does not provide this functionality.