Thanks to dropping rents and the arrival of some younger residents, the UES’s reputation as a sleepy restaurant desert is changing. Take Hoexters, a tavern that mixes martinis with smashburgers and mortadella plates in a room adorned with a 17-foot mural that once hung in the original Hoexter’s Market (it was around the corner), depicting that restaurant’s regulars. Alexandra Shapiro’s father owned that spot, and with his blessing, she revived the name in an effort to recapture a bit of that bygone energy.