The Quantitative Faber-Krahn Inequality for the Combinatorial Laplacian in ${\mathbb{Z}}^d$

Marco Cicalese, Leonard Kreutz, Gian Paolo Leonardi +1

While the classical Faber-Krahn inequality shows that the ball uniquely minimizes the first Dirichlet eigenvalue of the Laplacian in the continuum, this rigidity may fail in the di…