most citedHeat kernels for non-symmetric diffusion operators with jumps

5 citations · 5 across the 3 of their papers we have counts for

collaborators

3 papers

math.PR2022

Functional law of large numbers and central limit theorem for slow-fast McKean-Vlasov equations

Yun Li, Longjie Xie

In this paper, we study the asymptotic behavior of a fully-coupled slow-fast McKean-Vlasov stochastic system. Using the non-linear Poisson equation on Wasserstein space, we first e…

math.AP2016★ 5 cited

Heat kernels for non-symmetric diffusion operators with jumps

Zhen-Qing Chen, Eryan Hu, Longjie Xie +1

For , we establish the existence and uniqueness of heat kernels for a large class of time-dependent second order diffusion operator with jumps, which is the sum of time-de…

math.PR2016

Singular SDEs with critical non-local and non-symmetric Lévy type generator

Longjie Xie

In this work, by using Levi's parametrix method we first construct the fundamental solution of the critical non-local operator perturbed by gradient. Then, we use the obtained esti…