On the categorical entropy of the Frobenius pushforward functor

In this paper, we consider the Frobenius pushforward endofunctor F*${F}_{\ast}$ of the bounded derived category of finitely generated modules over an F$F$-finite noetherian local ring. We completely determine the categorical entropy of F*${F}_{\ast}$ in the sense of Dimitrov, Haiden, Katzarkov, and Kontsevich.