output
19952026
most citedBSDE with quadratic growth and unbounded terminal value

241 citations

Showing 2022 · math.PRShow all

7 papers · 2 filters

math.PR2022★ 12 cited

A short proof of the strong three dimensional Gaussian product inequality

Ronan Herry, Dominique Malicet, Guillaume Poly

We prove the strong form of the Gaussian product conjecture in dimension three. Our purely analytical proof simplifies previously known proofs based on combinatorial methods or com…

math.PR2022★ 1 cited

Backward stochastic differential equations with conditional reflection and related recursive optimal control problems

Ying Hu, Jianhui Huang, Wenqiang Li

We introduce a new type of reflected backward stochastic differential equations (BSDEs) for which the reflection constraint is imposed on its main solution component, denoted as $Y…

math.PR2022★ 2 cited

Concentration estimates for slowly time-dependent singular SPDEs on the two-dimensional torus

Nils Berglund, Rita Nader

We consider slowly time-dependent singular stochastic partial differential equations on the two-dimensional torus, driven by weak space-time white noise, and renormalised in the Wi…

math.PR2022

Conditional Backward Propagation of Chaos

Remi Moreau

In this paper, we first investigate the well-posedness of a backward stochastic differential equation where the driver depends on the law of the solution conditioned to a common no…

math.PR2022

Scaling limit of a kinetic inhomogeneous stochastic system in the quadratic potential

Thomas Cavallazzi, Emeline Luirard

We consider a particle evolving in the quadratic potential and subject to a time-inhomogeneous frictional force and to a random force. The couple of its velocity and position is so…

math.PR2022★ 1 cited

Backward doubly stochastic differential equations and SPDEs with quadratic growth

Ying Hu, Jiaqiang Wen, Jie Xiong

In this paper, we initiate the study of backward doubly stochastic differential equations (BDSDEs, for short) with quadratic growth. The existence, comparison, and stability result…