TY - UNPB
T1 - Universal inequalities for Dirichlet eigenvalues on discrete groups
AU - Hua, Bobo
AU - Yadin, Ariel
PY - 2020/7/26
Y1 - 2020/7/26
N2 - We prove universal inequalities for Laplacian eigenvalues with Dirichlet
boundary conditions on subsets of certain discrete groups. The study of
universal inequalities on Riemannian manifolds was initiated by Weyl,
Polya, Yau, and others. Here we focus on a version by Cheng and Yang.
Specifically, we prove Yang-type universal inequalities for Cayley
graphs of finitely generated amenable groups, as well as for the
d-regular tree (simple random walk on the free group).
AB - We prove universal inequalities for Laplacian eigenvalues with Dirichlet
boundary conditions on subsets of certain discrete groups. The study of
universal inequalities on Riemannian manifolds was initiated by Weyl,
Polya, Yau, and others. Here we focus on a version by Cheng and Yang.
Specifically, we prove Yang-type universal inequalities for Cayley
graphs of finitely generated amenable groups, as well as for the
d-regular tree (simple random walk on the free group).
KW - Mathematics - Differential Geometry
KW - Mathematics - Group Theory
KW - Mathematics - Probability
U2 - 10.48550/arXiv.2007.13157
DO - 10.48550/arXiv.2007.13157
M3 - Preprint
BT - Universal inequalities for Dirichlet eigenvalues on discrete groups
ER -