Papers, ranked by score

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

Stochastic portfolio theory with price impact

We develop a framework for stochastic portfolio theory (SPT), which incorporates modern nonlinear price impact and impact decay models. Our main result is the derivation of the celebrated master formula for additive functional generation of trading strategies in a general high-dimensional market mod

Holy Grail Math 8.5 Rigor 6.5 ·  June 9, 2025

Stochastic factors can matter: improving robust growth under ergodicity

Drifts of asset returns are notoriously difficult to model accurately and, yet, trading strategies obtained from portfolio optimization are very sensitive to them. To mitigate this well-known phenomenon we study robust growth-optimization in a high-dimensional incomplete market under drift uncertain

Lab Rats Math 8.5 Rigor 3.5 ·  December 31, 2025

Consumption-Investment Problem in Rank-Based Models

We study a consumption-investment problem in a multi-asset market where the returns follow a generic rank-based model. Our main result derives an HJB equation with Neumann boundary conditions for the value function and proves a corresponding verification theorem. The control problem is nonstandard d

Lab Rats Math 8.5 Rigor 1.5 ·  October 23, 2025

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