I would have to disagree about Ps. japonica (Arrow) and say that it is invasive. Around here in the PNW at least, where it is a true weed species. I was out riding my bike today and saw an Arrow grove at the side of a house. It had grown under a 4 foot wide concrete sidewalk and was making a new hedge beween the sidewalk and the road. I was amused with that, and then I noticed the most striking thing! It was growing up and into and indsde the walls of the garage of the house it was next to, and actually growing indide the garage's side door! You could see it growing behind the glass of the door! I will have to go back and take a photo of that one and post it here. It is on a walkway by a school.
As said above, the thing to do is rhzome prune them and they will stay under control. However, if left unattended, I would rate Arrow as one of the most invasive of the running bamboos. It is sneakey, grows fast, and is able to send out long thin rhizomes. It is just starting to shoot here now (early type for this area). I re-potted a large one that I have in a pot this afternoon as well. The rhizomes had wrapped themselves around the pot 2 times in only one year! I pulled up the plant, pruned off the wrapped rhizomes and put it back in its pot. Bad bamboo! Bad bad bad bamboo!
