Partition-dependent stochastic measures and $q$-deformed cumulants
Partition-dependent stochastic measures and $q$-deformed cumulants
On a q -deformed Fock space, we define multiple q -Lévy processes. Using the partition-dependent stochastic measures derived from such processes, we define partition-dependent cumulants for their joint distributions, and express these in terms of the cumulant functional using the number of restricted crossings of P. Biane. In the single …