most citedFirst Dirichlet eigenvalue and exit time moment spectra comparisons

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math.DG2021★ 1 cited

First Dirichlet eigenvalue and exit time moment spectra comparisons

Vicente Palmer, Erik Sarrion-Pedralva

We prove explicit upper and lower bounds for the Poisson hierarchy, the averaged -moment spectra $\{\dfrac{\mathcal{A}_k\left(B_R^M\right)}{\text{vol}\left(S_R^M\right)}\}_{k=…

math.DG2021

First Eigenvalue of the Laplacian of a Geodesic Ball and Area-Based Symmetrization of its Metric Tensor

Vicent Gimeno, Erik Sarrion-Pedralva

Given a Riemmanian manifold, we provide a new method to compute a sharp upper bound for the first eigenvalue of the Laplacian for the Dirichlet problem on a geodesic ball of radius…