Papers, ranked by score

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

Rough differential equations for volatility

We introduce a canonical way of performing the joint lift of a Brownian motion $W$ and a low-regularity adapted stochastic rough path $\mathbf{X}$, extending [Diehl, Oberhauser and Riedel (2015). A Lévy area between Brownian motion and rough paths with applications to robust nonlinear filtering and

Holy Grail Math 9.5 Rigor 5 ·  December 30, 2024

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

Transportation-cost inequalities for non-linear Gaussian functionals

We study concentration properties for laws of non-linear Gaussian functionals on metric spaces. Our focus lies on measures with non-Gaussian tail behaviour which are beyond the reach of Talagrand’s classical Transportation-Cost Inequalities (TCIs). Motivated by solutions of Rough Differential Equati

Lab Rats Math 9.5 Rigor 1.5 ·  October 9, 2023

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.