JV Raghunath at Cheenta has been working on Sublinear Local to Global Quasi-geodesic Property. He shows that metric spaces that admits bounded combing satisfies sublinear local-to-global quasi-geodesic property. Subsequently he also shows that sublinearly $t-$middle recurrent quasi-geodesics are sublinearly morse quasi-geodesics.
This project is advised by myself and Dr. Arka Banerjee.