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math.PR2021★ 10 cited
Regularisation by fractional noise for one-dimensional differential equations with distributional drift
Lukas Anzeletti, Alexandre Richard, Etienne Tanré
We study existence and uniqueness of solutions to the equation , where is a distribution in some Besov space and is a fractional Brownian motion with…
math.NA2021
On the discrete-time simulation of the rough Heston model
Alexandre Richard, Xiaolu Tan, Fan Yang
We study Euler-type discrete-time schemes for the rough Heston model, which can be described by a stochastic Volterra equation (with non-Lipschtiz coefficient functions), or by an…