Entropy Rigidity for cusped Hitchin representations

Let G be a geometrically finite subgroup of PSL(2,R). We say that a representation r from G to PGL(d,R) is a Hitchin representation if there is an r-equivariant positive map from the real projective line to the space of complete flags in R^d. We then prove a rigidity result for the entropy of Hitchin representations, generalizing previous work of Potrie-Sambarino. This is joint work with Richard Canary and Andrew Zimmer.