Exponential estimates for the Wiener sausage (Q2638673)

Let \(C_{\epsilon}(t)\) be the Wiener sausage of radius \(\epsilon\) in \({\mathbb{R}}^ d\) up to time t. We obtain bounds on the asymptotics of E exp(\(\lambda| C_{\epsilon}(t)|)\) as \(t\to \infty\), for all \(\lambda >0\).