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math.PR2026
Rank-One Fluctuations in Averaging-Learning Dynamics
Ionel Popescu, Tushar Vaidya
We study averaging-learning dynamics without an exogenous ground truth: the reference signal is generated endogenously by the population. The dynamics combine a time-varying averag…
quant-ph2026
End-to-End PDE-Based Quantum Algorithms for Multi-Asset Option Pricing under Local and Stochastic Volatility
Nikita Guseynov, Nana Liu, Chi Seng Pun +1
Multi-asset option pricing under local- and stochastic-volatility models leads naturally to high-dimensional parabolic PDEs. We develop an end-to-end quantum PDE framework for Euro…
math.DS2026
Anchoring and Mixed-Norm Contractions in Averaging-Learning Dynamics
Ionel Popescu, Jeven Syatriadi, Tushar Vaidya
A single informed agent can draw an arbitrarily large network to the ground truth. This is the sharpest consequence of the "Averaging plus Learning" framework studied here, where a…