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math.CO2001
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…
math.RA2001
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_…
math.FA2001
Results on infinite dimensional topology and applications to the structure of the critical set of nonlinear Sturm-Liouville operators
Dan Burghelea, Nicolau C. Saldanha, Carlos Tomei
We consider the nonlinear Sturm-Liouville differential operator for , a Sobolev space of functions satisfying Dirichlet boundary condition…