The Feynman graph representation of convolution semigroups and its applications to Lévy statistics

Abstract

We consider the Cauchy problem for a pseudo differential operator which has a translation invariant and analytic symbol. For a certain set of initial conditions, a formal solution is obtained by a perturbative expansion. The so-obtained series can be re-expressed in terms of generalized Feynman graphs and Feynman rules. The logarithm of the solution then… (More)

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