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math.GR2019
From Farey fractions to the Klein quartic and beyond
Ioannis Ivrissimtzis, David Singerman, James Strudwick
In his 1878/79 paper "Ueber die transformation siebenter ordnung der elliptischen functionen", Klein produced his famous 14-sided polygon representing the Klein quartic, his Rieman…
math.GR2011
Spectral representations of vertex transitive graphs, Archimedean solids and finite Coxeter groups
Ioannis Ivrissimtzis, Norbert Peyerimhoff
In this article, we study eigenvalue functions of varying transition probability matrices on finite, vertex transitive graphs. We prove that the eigenvalue function of an eigenvalu…