Conn. Gen. Stat. § 47a-26f: Hearing to distribute payments.

After entry of final judgment, the court shall hold a hearing to determine the amount due each party from the accrued payments for such use and occupancy and order distribution in accordance with its determination. Such determination shall be based upon the respective claims of the parties arising during the pendency of the proceedings after the date of the order for payments and shall be conclusive of such claims only to the extent of the total amount distributed.