E. Nualart

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20042025

most citedHitting Probabilities for Systems of Non-Linear Stochastic Heat Equations with Additive Noise

71 citations · 178 across the 32 of their papers we have counts for

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math.PR2025

On the local well-posedness of randomly forced reaction-diffusion equations with $L^{2}$ initial data and a superlinear reaction term

Mohammud Foondun, Davar Khoshnevisan, Eulalia Nualart

We consider a parabolic stochastic partial differential equation (SPDE) on $[0, 1]$ that is forced with multiplicative space-time white noise with a bounded and Lipschitz diffusio…

math.PR2025

Multivariate Poisson approximation of joint subgraph counts in random graphs via size-biased couplings

Eulalia Nualart, Rui-Ray Zhang

Using Chen-Stein method in combination with size-biased couplings, we obtain the multivariate Poisson approximation in terms of the Wasserstein distance. As applications, we study…

On the local well-posedness of randomly forced reaction-diffusion equations with L2 initial data and a superlinear reaction term

Multivariate Poisson approximation of joint subgraph counts in random graphs via size-biased couplings

On the local well-posedness of randomly forced reaction-diffusion equations with $L^{2}$ initial data and a superlinear reaction term