Hi,
I applied to 12 PhD-programs. I received just three invitations (1 Harvard, 2 MIT), and got rejected mainly in California.
The three programs where I'm invited are great, and I really hope that I will be accepted in one of them. Nevertheless it leaves a bitter taste since one of my LOR worked in Boston for 5 years and he is known there.
Is there simply so much randomness involved, that a well-known LOR really helps, or should I worry that I am maybe not good enough? I am thankful for any helpful answer :-)