Felix's approach to handling deep links is the typical approach to handling deep links. I would also suggest checking out this library to handle the routing and parsing of your deep links:
https://github.com/airbnb/DeepLinkDispatch
You can use annotations to register your Activity for a particular deep link URI, and it will extract out the parameters for you without having to do the usual rigmarole of getting the path segments, matching it, etc. You could simply annotate and activity like this:
@DeepLink("somePath/{someParameter1}/{someParameter2}")
public class MainActivity extends Activity {
...
}