Before revision: We characterize the asymptotic small-time and large-time implied volatility smile for the rough Heston model introduced by El Euch, Jaissonand Rosenbaum .0pt%DIFAUXCMD in the small-time, large-time and \alpha }\to \to  We show that the asymptotic short-maturity smile scales in qualitatively the same way as a general rough stochastic volatility model , and is characterized by0pt%DIFAUXCMD , \mbox{%DIFAUXCMD FGP18a }0pt%DIFAUXCMD et al.)
After revision: We characterize the asymptotic small-time and large-time implied volatility smile for the rough Heston model introduced by El Euch, Jaissonand Rosenbaum .0pt%DIFAUXCMD in the small-time, large-time and \alpha }\to \to We show that the asymptotic short-maturity smile scales in qualitatively the same way as a general rough stochastic volatility model (cf.\ \mbox{%DIFAUXCMD FZ170pt%DIFAUXCMD , \mbox{%DIFAUXCMD FGP18a }0pt%DIFAUXCMD et al.)