51 citations · 111 across the 9 of their papers we have counts for
9 papers
A trace formula derivation of the functional equation for symmetric square L-functions
Taiwang Deng, Dongsheng Wu
This paper revisits the functional equation of the symmetric-square -function from the perspective of trace formulas. We show that, for level-one holomorphic cusp forms and even…
Sharp Space-Time Regularity of the Solution to Stochastic Heat Equation Driven by Fractional-Colored Noise
Randall Herrell, Renming Song, Dongsheng Wu +1
In this paper, we study the following stochastic heat equation \[ \partial_tu=\mathcal{L} u(t,x)+\dot{B},\quad u(0,x)=0,\quad 0\le t\le T,\quad x\in\mathbb{R}d, \] where $\mathcal{…
Smoothness of Local Times and Self-Intersection Local Times of Gaussian Random Fields
Zhenlong Chen, Dongsheng Wu, Yimin Xiao
This paper is concerned with the smoothness (in the sense of Meyer-Watanabe) of the local times of Gaussian random fields. Sufficient and necessary conditions for the existence and…
Critical Brownian sheet does not have double points
Robert C. Dalang, Davar Khoshnevisan, Eulalia Nualart +2
We derive a decoupling formula for the Brownian sheet which has the following ready consequence: An -parameter Brownian sheet in has double points if and only if…
-Time Fractional Brownian Motion: PDE Connections and Local Times
Erkan Nane, Dongsheng Wu, Yimin Xiao
For and , an -time fractional Brownian motion is an iterated process obtained by taking a fractional Brownian motion $\{W(t),…
Regularity of Intersection Local Times of Fractional Brownian Motions
Dongsheng Wu, Yimin Xiao
Let be an -fractional Brownian motion with Hurst index (), and let and be independent. We prove that, if $\frac{N_1}{α_1}+\fra…