349 citations · 1.6k across the 52 of their papers we have counts for
60 papers
Boundary rigidity, and non-rigidity, of projective structures
Jack Borthwick, Niky Kamran
We investigate the property of boundary rigidity for the projective structures associated to torsion-free affine connections on connected analytic manifolds with boundary. We show…
Local Hölder Stability in the Inverse Steklov and Calderón Problems for Radial Schrödinger operators and Quantified Resonances
Thierry Daudé, Niky Kamran, François Nicoleau
We obtain Hölder stability estimates for the inverse Steklov and Calderón problems for Schrödinger operators corresponding to a special class of radial potentials on the unit…
Entangled Quantum States of Causal Fermion Systems and Unitary Group Integrals
Felix Finster, Niky Kamran, Moritz Reintjes
This paper is dedicated to a detailed analysis and computation of quantum states of causal fermion systems. The mathematical core is to compute integrals over the unitary group asy…
A Green's function for the source-free Maxwell equations on
Damien Gobin, Niky Kamran
We compute a Green's function giving rise to the solution of the Cauchy problem for the source-free Maxwell's equations on a causal domain contained in a geodesically…
Fermionic Fock Spaces and Quantum States for Causal Fermion Systems
Felix Finster, Niky Kamran
It is shown for causal fermion systems describing Minkowski-type spacetimes that an interacting causal fermion system at time gives rise to a distinguished state on the algebra…
The Linear Dynamics of Wave Functions in Causal Fermion Systems
Felix Finster, Niky Kamran, Marco Oppio
The dynamics of spinorial wave functions in a causal fermion system is studied. A so-called dynamical wave equation is derived. Its solutions form a Hilbert space, whose scalar pro…