L\'evy systems and moment formulas for mixed Poisson integrals
  We propose Mecke-Palm formulas for multiple integrals with respect to a Poisson random measure interlaced with its intensity measure. We apply such formulas to multiple mixed L\'evy systems of L\'evy processes and obtain moment formulas for products of interlaced multiple Poisson integrals. 
Krzysztof Bogdan, Jan Rosi\'nski, Grzegorz Serafin, {\L}ukasz   Wojciechowski
math.PR