Some properties of the principal Dirichlet eigenfunction in Lipschitz domains, via probabilistic couplings

arXiv:2408.15858v4 Announce Type: replace-cross Abstract: We study a discrete and continuous version of the spectral Dirichlet problem in an open bounded connected set $\Omega\subset \mathbb{R}^d$, in dimension $d\geq 2$. More precisely, consider the simple random walk on $\ma...

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