Papers, ranked by score

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

Rough volatility, path-dependent PDEs and weak rates of convergence

In the setting of stochastic Volterra equations, and in particular rough volatility models, we show that conditional expectations are the unique classical solutions to path-dependent PDEs. The latter arise from the functional Itô formula developed by [Viens, F., & Zhang, J. (2019). A martingale appr

Lab Rats Math 9.5 Rigor 2 ·  April 6, 2023

Path-dependent PDEs for volatility derivatives

We regard options on VIX and Realised Variance as solutions to path-dependent partial differential equations (PDEs) in a continuous stochastic volatility model. The modeling assumption specifies that the instantaneous variance is a $C^3$ function of a multidimensional Gaussian Volterra process; this

Lab Rats Math 8.5 Rigor 2.5 ·  November 14, 2023

Kolmogorov equations for stochastic Volterra processes with singular kernels

We associate backward and forward Kolmogorov equations to a class of fully nonlinear Stochastic Volterra Equations (SVEs) with convolution kernels $K$ that are singular at the origin. Working on a carefully chosen Hilbert space $\mathcal{H}_1$, we rigorously establish a link between solutions of SVE

Lab Rats Math 9.5 Rigor 1.5 ·  September 25, 2025

Browse

All authors · Research topics · Papers with code · Download the scored dataset

📬 The Quant Space Weekly

One email a week: the most interesting quant finance papers, scored and summarized. No spam, unsubscribe anytime.