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math.CO2012
A chord diagram expansion coming from some Dyson-Schwinger equations
Nicolas Marie, Karen Yeats
We give an expression for the solution to propagator-type Dyson-Schwinger equations with one primitive at 1 loop as an expansion over rooted connected chord diagrams. Along the way…
math.PR2012★ 18 cited
A Generalized Mean-Reverting Equation and Applications
Nicolas Marie
Consider a mean-reverting equation, generalized in the sense it is driven by a 1-dimensional centered Gaussian process with Hölder continuous paths on (). Taking tha…