D. Nualart

collaborators

2 papers

math.PR2025

Sharp upper bounds on hitting probabilities for the solution to the stochastic heat equation on the line

Robert C. Dalang, David Nualart, Fei Pu

For Gaussian random fields with values in $R^{d}$ , sharp upper and lower bounds on the probability of hitting a fixed set have been available for many years. These apply in…

math.PR2024

Gaussian fluctuations of spatial averages of a system of stochastic heat equations

David Nualart, Bhargobjyoti Saikia

We consider a system of $d$ non-linear stochastic heat equations driven by an $m$ -dimensional space-time white noise on $R_{+} \times R$ . In this paper we study the…