5 papers
Complex Interpolation of Matrices with an application to Multi-Manifold Learning
Adi Arbel, Stefan Steinerberger, Ronen Talmon
Given two symmetric positive-definite matrices , we study the spectral properties of the interpolation for . The pr…
An Efficient Triangulation of
Dan Guyer, Stefan Steinerberger, Yirong Yang
We present a -dimensional centrally symmetric simplicial polytope for which the antipodal quotient of its boundary forms a -vertex triangulation of the -dimensional real…
Graphical Designs find Combinatorial Structures
Zawad Chowdhury, Stefan Steinerberger, Rekha R. Thomas
Graphical designs are subsets of vertices of a graph that perfectly average a selected set of eigenvectors of the Graph Laplacian. We show that in highly-structured graphs, graphic…
Conformal Rigidity and Spectral Embeddings of Graphs
João Gouveia, Stefan Steinerberger, Rekha R. Thomas
We investigate the structure of conformally rigid graphs. Graphs are conformally rigid if introducing edge weights cannot increase (decrease) the second (last) eigenvalue of the Gr…
Conformally rigid graphs
Stefan Steinerberger, Rekha R. Thomas
Given a finite, simple, connected graph with , we consider the associated graph Laplacian matrix with eigenvalues $0 = λ_1 < λ_2 \leq \dots \leq λ_n…