Houdré, Christian; Marchal, Philippe - In: Stochastic Processes and their Applications 118 (2008) 5, pp. 852-863
We estimate a median of f(Xt) where f is a Lipschitz function, X is a Lévy process and t is an arbitrary time. This leads to concentration inequalities for f(Xt). In turn, corresponding fluctuation estimates are obtained under assumptions typically satisfied if the process has a regular...