3 citations
4 papers
GETMe.anis: On geometric polygon transformations leading to anisotropy
Dimitris Vartziotis, Juri Merger
This work contributes to the analysis of linear geometric polygon transformations with the aim to force a desired shape by an iterative procedure.
Contributions to the study of the non-trivial roots of the Riemann zeta-function
Dimitris Vartziotis, Juri Merger
This work contributes to the study of the non-trivial roots of the Riemann zeta function. In view of the Hilbert-Polya conjecture a series of self-adjoint operators on a Hilbert sp…
Existence of an attractor for a geometric tetrahedron transformation
Dimitris Vartziotis, Doris Bohnet
We analyze the dynamical properties of a tetrahedron transformation on the space of non-degenerate tetrahedra which can be identified with the non-compact globally symmetric -di…
Laplacian smoothing revisited
Dimitris Vartziotis, Benjamin Himpel
We show that the driving force behind the regularizing effect of Laplacian smoothing on surface elements is the popular mean ratio quality measure. We use these insights to provide…