1 citations · 1 across the 2 of their papers we have counts for
9 papers
The topology of the monodromy map of the second order ODE
Dan Burghelea, Nicolau C. Saldanha, Carlos Tomei
We consider the following question: given , which potentials for the second order Sturm-Liouville problem have as its Floquet multiplier? More precisely, def…
The topology of critical sets of some ordinary differential operators
Nicolau C. Saldanha, Carlos Tomei
We survey recent work of Burghelea, Malta and both authors on the topology of critical sets of nonlinear ordinary differential operators. For a generic nonlinearity , the critic…
Slices of matrices - a scenario for spectral theory
Ricardo S. Leite, Carlos Tomei
Given a real, symmetric matrix S, we define the slice through S as being the connected component containing S of two orbits under conjugation: the first by the orthogonal group, an…
The kernel of the adjacency matrix of a rectangular mesh
Carlos Tomei, Tania Vieira
Given an m x n rectangular mesh, its adjacency matrix A, having only integer entries, may be interpreted as a map between vector spaces over an arbitrary field K. We describe the k…
A special tiling of the rectangle
Carlos Tomei, Tania Vieira
We count tilings of a rectangle of integer sides m-1 and n-1 by a special set of tiles. The result is obtained fron the study of the kernel of the adjacency matrix of an n x n rect…
Parametrization by polytopes of intersections of orbits by conjugation
Ricardo S. Leite, Carlos Tomei
Let S be an nXn real symmetric matrix with spectral decomposition S=Q^T Lambda Q, where Q is an orthogonal matrix and Lambda is diagonal with simple spectrum {lambda_1,..., lambda_…