4 papers
Logarithmic improvements in the Weyl law and exponential bounds on the number of closed geodesics are predominant
Yaiza Canzani, Jeffrey Galkowski
Let be a smooth compact manifold of dimension without boundary. We introduce the concept of predominance for Riemannian metrics on , a notion analogous to full Lebesgue…
Shell energies derived from three-dimensional isotropic strain-gradient elasticity
C. Balitactac, Y. Canzani, R. S. Hallyburton +2
We derive a class of two-dimensional shell energies for thin elastic bodies exhibiting small-length scale effects modeled via strain-gradient elasticity. Building on the final auth…
On non-local exchange and scattering operators in domain decomposition methods
Thomas Beck, Yaiza Canzani, Jeremy L. Marzuola
We study non-local exchange and scattering operators arising in domain decomposition algorithms for solving elliptic problems on domains in . Motivated by recent form…
Stability of spectral partitions with corners
Gregory Berkolaiko, Yaiza Canzani, Graham Cox +2
A spectral minimal partition of a manifold is a decomposition into disjoint open sets that minimizes a spectral energy functional. While it is known that bipartite minimal partitio…