Papers, ranked by score

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

Malliavin calculus for signatures with applications to finance

Malliavin calculus is a powerful and general framework for the analysis of square-integrable random variables, but it often suffers from a lack of tractability and explicit representations. To address this limitation, we focus on a subclass of random variables given by finite linear combinations of

Lab Rats Math 9.2 Rigor 4.5 ·  April 24, 2026

Martingality in EFM Signature Volatility Models

We establish a martingality criterion for the Exponentially Fading Memory (EFM) signature volatility model, extending the recent result of Abi Jaber, Gassiat, and Sotnikov (2026). In the proposed framework, the volatility process is given by a linear functional of the EFM signature of a time-augment

Lab Rats Math 9 Rigor 2 ·  October 26, 2026

Martingale property and moment explosions in signature volatility models

We study the martingale property and moment explosions of a signature volatility model, where the volatility process of the log-price is given by a linear form of the signature of a time-extended Brownian motion. Excluding trivial cases, we demonstrate that the price process is a true martingale if

Lab Rats Math 9 Rigor 2 ·  March 21, 2025

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