Shouhei Honda

activity

20122026

most citedSingular Weyl's law with Ricci curvature bounded below

10 citations · 31 across the 13 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.MG2017

Continuity of nonlinear eigenvalues in $C D (K, \infty)$ spaces with respect to measured Gromov-Hausdorff convergence

Luigi Ambrosio, Shouhei Honda, Jacobus W. Portegies

In this note we prove in the nonlinear setting of $C D (K, \infty)$ spaces the stability of the Krasnoselskii spectrum of the Laplace operator $- Δ$ under measured Gromov-Hausdorff con…

math.MG2017★ 10 cited

Local spectral convergence in $R C D^{*} (K, N)$ spaces

Luigi Ambrosio, Shouhei Honda

In this note we give necessary and sufficient conditions for the validity of the local spectral convergence, in balls, on the $R C D^{*}$ -setting.

math.MG2017★ 3 cited

Short-time behavior of the heat kernel and Weyl's law on $R C D^{*} (K, N)$ -spaces

Luigi Ambrosio, Shouhei Honda, David Tewodrose

In this paper, we prove pointwise convergence of heat kernels for mGH-convergent sequences of $R C D^{*} (K, N)$ -spaces. We obtain as a corollary results on the short-time behavior of th…

Continuity of nonlinear eigenvalues in CD(K,∞) spaces with respect to measured Gromov-Hausdorff convergence

Local spectral convergence in RCD∗(K,N) spaces

Short-time behavior of the heat kernel and Weyl's law on RCD∗(K,N)-spaces

Continuity of nonlinear eigenvalues in $C D (K, \infty)$ spaces with respect to measured Gromov-Hausdorff convergence

Local spectral convergence in $R C D^{*} (K, N)$ spaces

Short-time behavior of the heat kernel and Weyl's law on $R C D^{*} (K, N)$ -spaces