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1.) Right after reconnecting due to a red disconnect symbol, I stood in a forest waiting for some friends when suddenly someone ran straight past me.
After changing my pants I realised that it was my char, that just kept on running.
A couple of seconds later the Doppelgänger vanished.

2.) Something similar happened to a guy I was playing with he connected, while standing in a house. A clone of him appeared in front of the house and just stood there crouching, and looking at chars next to them. This time the clone stayed even after he disconnected. We killed the clone so see if he would spawn dead the next time, but he spawned fine and even had all his loot (we took some out of the clones inventory)