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math.PR2026
Convergence in Hölder norms for Markovian approximations of stochastic Volterra equations
Noé Corneille, Kristin Kirchner, Pietro Pezzoli Frigerio
We bound the difference between two stochastic Volterra processes with identical Lipschitz coefficients but different kernels. For non-convolution kernels, we establish estimates i…
math.NA2026
Optimized multilevel Monte Carlo methods in Banach spaces
Kristin Kirchner, Fabio Nobile, Christoph Schwab +1
We present a theoretical and numerical analysis of Monte Carlo methods for the estimation of statistical moments of random variables taking values in a Banach sp…