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get a wireless security camera take their pic or see where they go. then put the pic next to your trash can and say "i know who you are, do this agian, i will report you to the police."
Motion detection camera. Done deal. We use these at work: [link]
[link] is the first that comes to mind, but only because I saw a link to it a while ago. They're $200 each; I'm sure there's a cheaper solution.
This one's $140. Didn't realize they'd all be so expensive.