Resumen de Laplace approximation for rough differential equation driven by fractional Brownian motion

Yuzuru Inahama

• We consider a rough differential equation indexed by a small parameter ε > 0. When the rough differential equation is driven by fractional Brownian motion with Hurst parameter H (1/4 < H < 1/2), we prove the Laplace-type asymptotics for the solution as the parameter ε tends to zero.