asymptotic analysis 1hyperbolic surfaces 1prime geodesic theorem 1spectral determinant 1weighted laplacian 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.SP2026
Asymptotics of the spectral determinant of the weighted Laplacian for a sequence of compact Riemann surfaces of infinitely growing volume
Jay Jorgenson, Lejla Smajlovic, Polyxeni Spilioti
The paper proves an analogue of the prime geodesic theorem for weighted prime geodesic counts on compact hyperbolic surfaces and shows that the logarithm of the weighted Laplacian’…
math.SP2026
Determinants of twisted Laplacians and the twisted Selberg zeta function
Jay Jorgenson, Lejla Smajlovic, Polyxeni Spilioti
Let be an orbisurface, meaning a compact hyperbolic Riemann surface possibly with a finite number of elliptic points, and let denote its unit tangent bundle. We consider…
math.CA2025
An explicit construction of heat kernels and Green's functions in measure spaces
Palle Jorgensen, Jay Jorgenson, Lejla Smajlovic
We explicitly construct a heat kernel as a Neumann series for certain function spaces, such as , , and Hilbert spaces, associated to a locally compact Hausdorff space…