21 citations · 102 across the 28 of their papers we have counts for
4 papers · 1 filter
Gaussian Free Fields and KPZ Relation in R^4
Linan Chen, Dmitry Jakobson
This work aims to extend part of the two dimensional results of Duplantier and Sheffield on Liouville quantum gravity to four dimensions, and indicate possible extensions to other…
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…
Conformal invariants from nodal sets. I. Negative Eigenvalues and Curvature Prescription
Yaiza Canzani, Rod Gover, Dmitry Jakobson +1
In this paper, we study conformal invariants that arise from nodal sets and negative eigenvalues of conformally covariant operators; more specifically, the GJMS operators, which in…
Nullspaces of Conformally Invariant Operators. Applications to -curvature
Yaiza Canzani, A. Rod Gover, Dmitry Jakobson +1
We study conformal invariants that arise from functions in the nullspace of conformally covariant differential operators. The invariants include nodal sets and the topology of noda…