1306.3713 (C. M. da Fonseca et al.)

The eigenpairs of a Sylvester-Kac type matrix associated with a simple
model for one-dimensional deposition and evaporation    [PDF]

C. M. da Fonseca, Dan A. Mazilu, Irina Mazilu, H. Thomas Williams

A straightforward model for deposition and evaporation on discrete cells of a finite array of any dimension leads to a matrix equation involving a Sylvester-Kac type matrix. The eigenvalues and eigenvectors of the general matrix are determined for an arbitrary number of cells. A variety of models to which this solution may be applied are discussed.

View original: http://arxiv.org/abs/1306.3713