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9 papers · 2 filters
A Central Limit Theorem for the stochastic wave equation with fractional noise
Francisco Delgado-Vences, David Nualart, Guangqu Zheng
We study the one-dimensional stochastic wave equation driven by a Gaussian multiplicative noise which is white in time and has the covariance of a fractional Brownian motion with H…
Rate of convergence for the weighted Hermite variations of the fractional Brownian motion
Nicholas Ma, David Nualart
In this paper we obtain a rate of convergence in the central limit theorem for high order weighted Hermite variations of the fractional Brownian motion. The proof is based on the t…
A Central Limit Theorem for the stochastic heat equation
Jingyu Huang, David Nualart, Lauri Viitasaari
We consider the one-dimensional stochastic heat equation driven by a multiplicative space-time white noise. We show that the spatial integral of the solution from to conve…
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…
Almost sure convergence on chaoses
Guillaume Poly, Guangqu Zheng
We present several new phenomena about almost sure convergence on homogeneous chaoses that include Gaussian Wiener chaos and homogeneous sums in independent random variables. Concr…
The functional Breuer-Major theorem
Ivan Nourdin, David Nualart
Let be zero-mean stationary Gaussian sequence of random variables with covariance function satisfying . Let b…