The Eastman Ranlet Series will begin this weekend with the Dover Quartet, a string quartet of young musicians who are swiftly racing to the top of the classical performance world. The group — violinists Joel Link and Bryan Lee, violist Milena Pajaro-van de Stadt, and cellist Camden Shaw — swept the 2013 Banff International String Quartet Competition in 2013, winning not only the grand prize, but all three of the competition's special prizes. On Sunday, the Dover Quartet will perform Beethoven's 1801 String Quartet No. 5, the elegant, haunting "Terra Memoria" by Kaija Saariaho — composed in 2006 — and Dvorak's Quartet in C Major, Op. 61.