43 citations · 106 across the 34 of their papers we have counts for
5 papers · 1 filter
Eigenvalue asymptotics for the damped wave equation on metric graphs
Pedro Freitas, Jiri Lipovsky
We consider the linear damped wave equation on finite metric graphs and analyse its spectral properties with an emphasis on the asymptotic behaviour of eigenvalues. In the case of…
The norm of the -th derivative of the -symmetric power of an operator
Sónia Carvalho, Pedro J. Freitas
In this paper we present the exact value for the norm of directional derivatives, of all orders, for symmetric tensor powers of operators on finite dimensional vector spaces. Using…
The -th derivatives of the immanant and the -symmetric power of an operator
Sónia Carvalho, Pedro J. Freitas
In recent papers, R. Bhatia, T. Jain and P. Grover obtained formulas for directional derivatives, of all orders, of the determinant, the permanent, the -th compound map and the…
Counting Spectral Radii of Matrices with Positive Entries
J. A. Dias da Silva, Pedro J. Freitas
The sum-product conjecture of Erd\H os and Szemerédi states that, given a finite set of positive numbers, one can find asymptotic lower bounds for of…
A Topological Approach to Unifying Compactifications of Symmetric Spaces
Pedro J. Freitas
In this paper we present a topological way of building a compactification of a symmetric space from a compactification of a Weyl Chamber.