Block Jacobi matrices, Barycentric limits and Manifolds

TL;DR

This paper explores the deformation of block triangular Jacobi matrices in geometry, investigates multi-scale Barycentric limits of geometries, and examines droplet boundary manifolds in Potts networks, revealing new insights into geometric and network structures.

Contribution

It introduces a novel approach to deforming block Jacobi matrices and analyzes multi-scale Barycentric limits in geometric and network contexts.

Findings

Deformation techniques for block Jacobi matrices.

Characterization of multi-scale Barycentric limits.

Analysis of droplet boundary manifolds in Potts networks.

Abstract

We deform block triangular Jacobi matrices appearing in geometry, look at multi-scale Barycentric limits of geometries and droplet boundary manifolds in Potts networks.