6 citations · 12 across the 8 of their papers we have counts for
8 papers
Zoll magnetic structures and ruled surfaces
Jan Bohr, Gabriel P. Paternain
A Zoll magnetic system on an oriented closed surface is a Riemannian metric together with a function , such that every unit speed solution of the O…
Biholomorphism Rigidity for Transport Twistor Spaces
Jan Bohr, François Monard, Gabriel P. Paternain
We prove that biholomorphisms between the transport twistor spaces of simple or Anosov surfaces exhibit rigidity: they must be, up to constant rescaling and the antipodal map, the…
Local and Global Blow Downs of Transport Twistor Space
Jan Bohr, François Monard, Gabriel P. Paternain
Transport twistor spaces are degenerate complex -dimensional manifolds that complexify transport problems on Riemannian surfaces, appearing, e.g., in geometric inverse probl…
Invariant distributions and the transport twistor space of closed surfaces
Jan Bohr, Thibault Lefeuvre, Gabriel P. Paternain
The purpose of this paper is to study transport equations on the unit tangent bundle of closed oriented Riemannian surfaces and to connect these to the transport twistor space of t…
A Bernstein--von-Mises theorem for the Calderón problem with piecewise constant conductivities
Jan Bohr
This note considers a finite dimensional statistical model for the Calderón problem with piecewise constant conductivities. In this setting it is shown that injectivity of the forw…
The Transport Oka-Grauert Principle for Simple Surfaces
Jan Bohr, Gabriel P. Paternain
This article considers the attenuated transport equation on Riemannian surfaces in the light of a novel twistor correspondence under which matrix attenuations correspond to holomor…
On log-concave approximations of high-dimensional posterior measures and stability properties in non-linear inverse problems
Jan Bohr, Richard Nickl
The problem of efficiently generating random samples from high-dimensional and non-log-concave posterior measures arising from nonlinear regression problems is considered. Extendin…
Diffraction of the Aharonov-Bohm Hamiltonian
Mengxuan Yang
In this paper, we compute the diffractive wave propagator of the Aharonov-Bohm effect on with a single solenoid using a technique of moving solenoid location. In add…