Papers, ranked by score

Ordered by a blend of empirical rigor (60%) and math complexity (40%).

How can the dual martingale help solving the primal optimal stopping problem?

Motivated by recent results on the dual formulation of optimal stopping problems, we investigate in this short paper how the knowledge of an approximating dual martingale can improve the efficiency of primal methods. In particular, we show on numerical examples that accurate approximations of a dual

Holy Grail Math 6.5 Rigor 6 ·  February 10, 2026

Weak error approximation for rough and Gaussian mean-reverting stochastic volatility models

For a class of stochastic models with Gaussian and rough mean-reverting volatility that embeds the genuine rough Stein-Stein model, we study the weak approximation rate when using a Euler type scheme with integrated kernels. Our first result is a weak convergence rate for the discretised rough Ornst

Lab Rats Math 9.5 Rigor 1.5 ·  February 20, 2026

On non-negative solutions of stochastic Volterra equations with jumps and non-Lipschitz coefficients

We consider one-dimensional stochastic Volterra equations with jumps for which we establish conditions upon the convolution kernel and coefficients for the strong existence and pathwise uniqueness of a non-negative càdlàg solution. By using the approach recently developed in arXiv:2302.07758, we sho

Lab Rats Math 9 Rigor 1.5 ·  February 29, 2024

Nonnegativity preserving convolution kernels. Application to Stochastic Volterra Equations in closed convex domains and their approximation

This work defines and studies one-dimensional convolution kernels that preserve nonnegativity. When the past dynamics of a process is integrated with a convolution kernel like in Stochastic Volterra Equations or in the jump intensity of Hawkes processes, this property allows to get the nonnegativity

Philosophers ·  February 15, 2023

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