most citedOption pricing with linear market impact and non-linear Black and Scholes equations

3 citations · 3 across the 5 of their papers we have counts for

collaborators

6 papers

math.OC2026

A posteriori error bounds for the Uncertain Volatility Model

Lokman A Abbas-Turki, Chassagneux Jean-Fran{\c c}ois, Jean-Philippe Lemor +2

We develop a posteriori primal-dual bounds for numerical approximations of European option prices in the Uncertain Volatility Model. Given a smooth candidate approximation of the v…

cs.LG2026

SBBTS: A Unified Schrödinger-Bass Framework for Synthetic Financial Time Series

Alexandre Alouadi, Grégoire Loeper, Célian Marsala +2

We study the problem of generating synthetic time series that reproduce both marginal distributions and temporal dynamics, a central challenge in financial machine learning. Existi…

q-fin.CP2026

Stochastic Policy Gradient Methods in the Uncertain Volatility Model

Lokman A Abbas-Turki, Jean-François Chassagneux, Jean-Fran{\c c}ois Chassagneux +4

The multidimensional Uncertain Volatility Model leads to robust option pricing problems under joint volatility and correlation uncertainty. Their numerical resolution quickly becom…

math.PR2026

A PDE Derivation of the Schrödinger--Bass Bridge

Alexandre Alouadi, Pierre Henry-Labordère, Grégoire Loeper +3

This short paper announces the main results of \cite{SBB2026}, where the Schrödinger--Bass Bridge (SBB) problem is introduced and studied in full generality. Here we provide a dire…

cs.LG2026

LightSBB-M: Bridging Schrödinger and Bass for Generative Diffusion Modeling

Alexandre Alouadi, Pierre Henry-Labordère, Grégoire Loeper +3

The Schrodinger Bridge and Bass (SBB) formulation, which jointly controls drift and volatility, is an established extension of the classical Schrodinger Bridge (SB). Building on th…

q-fin.PR2013★ 3 cited

Option pricing with linear market impact and non-linear Black and Scholes equations

Gregoire Loeper

We consider a model of linear market impact, and address the problem of replicating a contingent claim in this framework. We derive a non-linear Black-Scholes Equation that provide…