Can people see how many times you've visited their profile on facebook using the new applications?

[Nikola]

Answer to this question is simply: "NO!" All those groups are fake and used mostly for advertising, and sometimes they send private messages containing links to phishing sites, so they can steal password. And all of the applications are the same thing as groups. And those applications that you see on few profiles don't work either because When you view a facebook profile, all the applications you see (and therefore including any trackers) are actually cache and static. They don't run any code by default and therefore there is no way of logging profile views. Even images are cached.
The apps seen on the profile only do run code when a button is clicked, it is at this point we can track who has viewed the profile, but it also means that the user is only known if they want to make themselves known.