Abstract: Consider the eigenvalue problem for the discrete Laplacian on finite regular graphs. One can relate three types of phase-space distributions associated to the resulting eigenfunctions, namely Patterson–Sullivan, invariant Ruelle, and Wigner distributions. It has been shown that, on hyperbolic surfaces, these three phase-space distributions are asymptotically equivalent, naturally raising the question of whether a similar relationship holds for finite graphs.
In this talk, I will show how discrete analogues of these distributions can be defined and how they relate to each other.
Bei Interesse an einer online-Teilnahme (sei es regelmäßig oder auch nur an einem bestimmten Vortrag) bitten wir vorab mit Tobias Weich Kontakt aufzunehmen, damit der Teilnahmelink geteilt werden kann.