Bálint Mészáros

Bálint Mészáros is a Research Fellow at the Institute for Advanced Dynamic Uncertainty, where his work is centred on the theory of stochastic processes and the foundations of martingale analysis in infinite-dimensional settings. He holds a PhD in Mathematics from Eötvös Loránd University Budapest (Természettudományi Kar — Faculty of Natural Sciences), where his doctoral research examined the convergence properties of martingale transforms under weak compactness conditions in Banach-valued function spaces, with particular attention to the dependence of convergence rates on the geometric properties of the target space.

After his doctorate, Mészáros extended his work toward questions of optional decomposition and optimal stopping in incomplete probability models — areas where the classical Doob–Meyer theory is insufficient and the structure of the filtration becomes central to the analysis. His work during this period characterised the set of equivalent local martingale measures in incomplete markets with jumps, and developed stopping criteria applicable to non-semimartingale dynamics.

At IADU, his research builds martingale-theoretic tools for the analysis of equilibrium dynamics in mean field systems, with particular focus on optional decomposition in the value function equations arising from incomplete agent information. His contributions support the Institute's work on equilibrium characterisation in MFG models where distributional feedback enters through the stopping boundary.