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math.PR2023★ 2 cited
Weak well-posedness of stochastic Volterra equations with completely monotone kernels and non-degenerate noise
Yushi Hamaguchi
We establish weak existence and uniqueness in law for stochastic Volterra equations (SVEs for short) with completely monotone kernels and non-degenerate noise under mild regularity…
math.PR2023★ 7 cited
Markovian lifting and asymptotic log-Harnack inequality for stochastic Volterra integral equations
Yushi Hamaguchi
We introduce a new framework of Markovian lifts of stochastic Volterra integral equations (SVIEs for short) with completely monotone kernels. We define the state space of the Marko…