Can a neighbor throw tree branches into my yard if they are from my tree?

I have a large maple tree in my yard and some of the branches hang over my neighbor's yard. Recent storms have caused small branches to fall into their yard. I caught the neighbor throwing the branches over the fence into my yard. They say it is my responsibility to pick up after my tree. I don't think... show more I have a large maple tree in my yard and some of the branches hang over my neighbor's yard. Recent storms have caused small branches to fall into their yard. I caught the neighbor throwing the branches over the fence into my yard. They say it is my responsibility to pick up after my tree. I don't think they should dump every fallen branch into my yard. Who's right?
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