21 citations · 102 across the 28 of their papers we have counts for
15 papers · 1 filter
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…
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 the nodal lines of Eisenstein series on Schottky surfaces
Jakobson Dmitry, Naud Frederic
On convex co-compact hyperbolic surfaces with Hausdorff dimension of the limit set less than 1/2, we investigate high energy behaviour of Eisenstein Series. Eisenstein Series are n…
Resonances and convex co-compact congruence subgroups of PSL2(Z)
Frédéric Naud, Dmitry Jakobson
This papers deals with congruence subgroups of convex cocompact subgroups of PSL2(Z). We examine the behaviour of the resonance spectrum when the congruence parameter q goes to inf…
On the distribution of perturbations of propagated Schrödinger eigenfunctions
Yaiza Canzani, Dmitry Jakobson, John Toth
Let be a compact Riemmanian manifold of dimension . Let $P_0 (\h) := -\h^2Δ_{g}+V$ be the semiclassical Schrödinger operator for $\h \in (0,\h_0]$, and let be a re…