3 papers
math.PR2020
Intermittency for the Parabolic Anderson model of Skorohod type driven by a rough noise
Nicolas Ma, David Nualart, Panqiu Xia
In this paper, we study the parabolic Anderson model of Skorohod type driven by a fractional Gaussian noise in time with Hurst parameter . By using the Feynman-Kac…
math.PR2019
On nonlinear rough paths
David Nualart, Panqiu Xia
In this paper, we establish the theory of nonlinear rough paths. We give the definition of nonlinear rough paths, and develop the integrals. Then, we study differential equations d…
math.PR2018
Hölder continuity of the solutions to a class of SPDEs arising from multidimensional superprocesses in random environment
Yaozhong Hu, David Nualart, Panqiu Xia
We consider a -dimensional branching particle system in a random environment. Suppose that the initial measures converge weakly to a measure with bounded density. Under the Mytn…