Showing math.SPShow all
2 papers · 1 filter
math.SP2026
Resonances on geometrically finite graphs
Christian Arends, Carsten Peterson, Tobias Weich
In analogy with the spectral theory of geometrically finite hyperbolic manifolds, we initiate the study of resonances on geometrically finite (q+1)-regular graphs of groups. We pro…
math.SP2026
Patterson-Sullivan distributions of finite regular graphs
Christian Arends, Guendalina Palmirotta
On finite regular graphs, we construct Patterson-Sullivan distributions associated with eigenfunctions of the discrete Laplace operator via their boundary values on the phase space…