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This has been discussed many times, if you search.
Munchkin doesn't itself do anything across devices, browsers, and sessions. (More to the point, it cannot do anything across these security boundaries.)
However, if a lead clicks an email link on desktop and also clicks a link on mobile, both of those sessions will be associated with the known lead. Their pageviews and on-page clicks (both before and after association) will be interleaved/stitched in their activity log. This is why I strongly recommend using a redirector page instead of sending direct download links, so you get as many associated sessions as possible.
Filling out a form and programmatic lead association (via Munchkin API or other endpoint) are the other ways to associate sessions with known leads.
While a session is still anonymous, you should not expect scores to change (although the behavior is different across releases of Munchkin, you should build for the lowest common denominator). Conversely, at the point that a session becomes associated, you should expect scoring campaigns to fire, including for actions taken while the lead was anonymous.