36 citations · 126 across the 37 of their papers we have counts for
3 papers · 1 filter
Ergodic approximation for the invariant distribution: An abstract framework for law-dependent dynamics
Aurélien Alfonsi, Vlad Bally, Lucia Caramellino +1
This paper studies the approximation of invariant distributions for a broad class of law-dependent dynamics, including McKean-Vlasov stochastic differential equations and Boltzmann…
Weak error approximation for rough and Gaussian mean-reverting stochastic volatility models
Aurélien Alfonsi, Ahmed Kebaier
For a class of stochastic models with Gaussian and rough mean-reverting volatility that embeds the genuine rough Stein-Stein model, we study the weak approximation rate when using…
How can the dual martingale help solving the primal optimal stopping problem?
Aurélien Alfonsi, Ahmed Kebaier, Jérôme Lelong
Motivated by recent results on the dual formulation of optimal stopping problems, we investigate in this short paper how the knowledge of an approximating dual martingale can impro…