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math.PR2019
Volterra Equations Driven by Rough Signals
Fabian A. Harang, Samy Tindel
This article is devoted to the extension of the theory of rough paths in the context of Volterra equations with possibly singular kernels. We begin to describe a class of two param…
math.PR2019
Self-Exciting Multifractional Processes
Fabian A. Harang, Marc Lagunas-Merino, Salvador Ortiz-Latorre
We propose a new multifractional stochastic process which allows for self-exciting behavior, similar to what can be seen for example in earthquakes and other self-organizing phenom…