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math.SP2026
Residues of weighted dynamical Ihara zeta functions on finite regular graphs
Guendalina Palmirotta
A weighted dynamical version of the classical Ihara zeta function is presented on connected finite regular graphs, expressed in terms of weighted periodic orbit data…
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…
math.SP2024
Patterson-Sullivan and Wigner distributions of convex-cocompact hyperbolic surfaces
Benjamin Delarue, Guendalina Palmirotta
We prove that the Patterson-Sullivan and Wigner distributions on the unit sphere bundle of a convex-cocompact hyperbolic surface are asymptotically identical. This generalizes resu…