Papers, ranked by score

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

Differential Beliefs in Financial Markets Under Information Constraints: A Modeling Perspective

We apply the theory of McKean-Vlasov-type SDEs to study several problems related to market efficiency in the context of partial information and partially observable financial markets: (i) convergence of reduced-information market price processes to the true price process under an increasing informat

Lab Rats Math 8.5 Rigor 3 ·  November 3, 2025

Filtration Reduction and Completeness in Jump-Diffusion Models

This paper studies the pricing and hedging of derivatives in frictionless and competitive, but incomplete jump-diffusion markets. A unique equivalent martingale measure (EMM) is obtained using filtration reduction to a fictitious complete market. This unique EMM in the fictitious market is uplifted

Lab Rats Math 8 Rigor 2.5 ·  April 13, 2023

Enlargement of Filtrations: An Exposition of Core Ideas with Financial Examples

In this paper we provide an exhaustive survey of the current state of the mathematics of filtration enlargement and an interpretation of the key results of the literature from the viewpoint of mathematical finance. The emphasis is on providing a well-structured compendium of known mathematical resul

Lab Rats Math 8.5 Rigor 1.5 ·  March 7, 2023

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