Stochastic Differential Equations

On (fake) Stationarity in Stochastic Volterra Equations with Affine Drift and Regular Kernels.

We investigate the fake stationarity properties of solutions to forward Stochastic Volterra Integral Equations (SVIEs) with affine drift and long-memory (regular) kernels, both on …

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Emmanuel G.
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👩🏼‍🏫 Outreach in mathematics

We present a new theory of stationarity for a class of stochastic Volterra integral equations.

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Emmanuel G.
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On Path-dependent Volterra Integral Equations: Strong Well-posedness and Stochastic Numerics.

The aim of this paper is to provide a comprehensive analysis of the path-dependent Stochastic Volterra Integral Equations (SVIEs), in which both the drift and the diffusion …

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Emmanuel G.
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On Inhomogeneous Affine Volterra Processes: Stationarity and Applications to the Volterra Heston Model

This paper presents a new theory for the stationarity of stochastic Volterra integral equations.

emmanuel-gnabeyeu
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On a Stationarity Theory for Stochastic Volterra Integral Equations with Affine Drift

This paper presents a new theory for the stationarity of stochastic Volterra integral equations.

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Emmanuel G.
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