21 citations · 102 across the 28 of their papers we have counts for
31 papers
Flexibility of eigenvalues for graph Laplacians arising from genus 3 surfaces
Alena Erchenko, Dmitry Jakobson, Allison Tsypin
It is known that the small eigenvalues of the Laplacian of a Riemann surface close to the boundary of the modular space can be well approximated by the eigenvalues of the discrete…
Conformal invariants from nodal sets II. Manifolds with boundary
Graham Cox, Dmitry Jakobson, Mikhail Karpukhin +1
In this paper, we study conformal invariants that arise from nodal sets and negative eigenvalues of conformally covariant operators on manifolds with boundary. We also consider app…
Large covers and sharp resonances of hyperbolic surfaces
Dmitry Jakobson, Frederic Naud, Louis Soares
Let be a convex co-compact discrete group of isometries of the hyperbolic plane , and the associated surface. In this paper we invest…
L-functions and sharp resonances of infinite index congruence subgroups of
Dmitry Jakobson, Frederic Naud
For convex co-compact subgroups of SL2(Z) we consider the "congruence subgroups" for p prime. We prove a factorization formula for the Selberg zeta function in term of L-functions…
On Small Gaps in the Length Spectrum
Dmitry Dolgopyat, Dmitry Jakobson
We discuss upper and lower bounds for the size of gaps in the length spectrum of negatively curved manifolds. For manifolds with algebraic generators for the fundamental group, we…
Zero and negative eigenvalues of the conformal Laplacian
A. Rod Gover, Asma Hassannezhad, Dmitry Jakobson +1
We show that zero is not an eigenvalue of the conformal Laplacian for generic Riemannian metrics. We also discuss non-compactness for sequences of metrics with growing number of ne…