Exact asymptotics for the supremum of a fractional Lévy motion when H is at most one-half
Let LHL_HLH be a fractional Lévy motion driven by a gamma process Γ(⋅)\Gamma(\cdot)Γ(⋅), and consider the tail probability P(sups∈[0,S]LH(s)>u)\mathbb{P}(\sup_{s\in[0,S]}L_H(s)>u)P(sups∈[0,S]LH(s)>u) as u→∞u\to\inftyu→∞. For…