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Dynamics of a rational system of difference equations in the plane
Dynamics difference equations
2010/11/15
We consider a rational system of first order difference equations in the plane with four parameters such that all fractions have a common denominator. We study, for the different values of the paramet...
Sums of Laplace eigenvalues - rotationally symmetric maximizers in the plane
Isoperimetric membrane tight frame
2010/12/14
The sum of the first n 1 eigenvalues of the Laplacian is shown to be maximal among triangles for the equilateral triangle,maximal among parallelograms for the square, and maximal among ellipses for ...