The trio are enrolled at school after transferring in from Seton Hall, Cornell and VCU.
"We are excited to welcome the new student-athletes to our UConn family," Ollie said. "Along with being high quality players, they are young men of high character who also bring a level of maturity and experience with them. We are looking forward to having them with us as we head into the upcoming season."
Gibbs, a 6-2, 185-pound guard from Scotch Plains, N.J., comes to UConn
Gibbs and Miller are of course fifth year transfers and eligible immediately. Larrier will sit out a year and then have three years left.
Here's UConn coach Kevin Ollie on the transfers:
"What Sterling brings is experience, playing so well in the Big East with his great scoring ability and his leadership ability and just being a tough player," Ollie said. "For him to come here and fill a spot that we need, especially with his shooting range, is big time."
"Shonn's explosiveness and his versatility, being able to play multiple positions, will be a big factor for us," Ollie said. "He rebounded at a high rate last year in the Ivy League and we all think that can translate to any league. Plus, he has the shooting ability to be able to score from different areas of the court.
"Both Shonn and Sterling are coming in to improve, too, both defensively and offensively. Hopefully, we can add to the game they already have, give them hope and encouragement so they can play after they leave Storrs."
"Terry will add something that we talk about all the time -- versatility," Ollie said. "It allows us to bring in a guy who will practice against our guys every day and be able simulate the length and athletic ability that they are going to see in real games.
"But we also want him to come in and not just look at it as a transitional year, but look at it as a year in which he will improve and then be ready to go when those curtains open in the 2016-17 season. I want him to look at leadership, being part of the team. Of course, he's not going to play in the games this year, but I want him to have the mindset that he's playing 35 minutes every night, so he'll get prepared for what's going to come when he gets his opportunity to step on the court in a Husky jersey on for the first time."