14 citations · 87 across the 38 of their papers we have counts for
42 papers
Positive eigenvectors and simple nonlinear maps
Marta Calanchi, Carlos Tomei
For linear operators and nonlinear maps , we describe classes of simple maps , between Banach and Hilbert spaces, for which no point has more tha…
Linearizing Toda and SVD flows on large phase spaces of matrices with real spectrum
Ricardo S. Leite, Nicolau C. Saldanha, David Martínez Torres +1
We consider different phase spaces for the Toda flows and the less familiar SVD flows. For the Toda flow, we handle symmetric and non-symmetric matrices with real simple eigenvalue…
Higher dimensional versions of theorems of Euler and Fuss
Peter Gibson, Nicolau Saldanha, Carlos Tomei
We present higher dimensional versions of the classical results of Euler and Fuss, both of which are special cases of the celebrated Poncelet porism. Our results concern polytopes,…
The geometry of spectral interlacing
Ricardo S. Leite, Carlos Tomei
We provide a detailed description of the maps associated with spectral interlacing, for rank one perturbations and bordering of symmetric and Hermitian matrices. The arguments rely…
On the open Toda chain with external forcing
Percy Deift, Luen-Chau Li, Herbert Spohn +2
We consider the open Toda chain with external forcing, and in the case when the forcing stretches the system, we derive the longtime behavior of solutions of the chain. Using an ob…
Directed graphs and interferometry
Bruno Melo, Igor Brandão, Carlos Tomei +1
The observed output of an interferometer is the result of interference among the parts of the input light beam traveling along each possible optical path. In complex systems, writi…