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5 papers

math.OC2026

Optimal resource allocation for maintaining system solvency

Gaoyue Guo, Wenpin Tang, Nizar Touzi

The paper studies how to allocate a limited resource among independent Brownian agents to maximize either the probability that all agents avoid ruin or the expected number of agent…

math.PR2026

Stability of supermartingale optimal transport problems

Shuoqing Deng, Gaoyue Guo, Dominykas Norgilas

We investigate stability properties of weak supermartingale optimal transport (WSOT) problems on . For probability measures satisfying $μ\leq_{…

math.PR2025

The football model, stochastic ordering and martingale transport

Gaoyue Guo, Nicolas Juillet, Wenpin Tang

Tournaments are competitions between a number of teams, the outcome of which determines the relative strength or rank of each team. In many cases, the strength of a team in the tou…

math.AP2025

Infinite Dimensional Mean-Field Belavkin Equation: Well-posedness and Derivation

Anne de Bouard, Gaoyue Guo, Théo Hérouard

We analyze the mean-field limit of a stochastic Schr{ö}dinger equation arising in quantum optimal control and mean-field games, where N interacting particles undergo continuous in…

math.OC2025

Stabilization of jump-diffusion stochastic differential equations by hysteresis switching

Weichao Liang, Gaoyue Guo

We address the stabilization of both classical and quantum systems modeled by jump-diffusion stochastic differential equations using a novel hysteresis switching strategy. Unlike t…