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Supercritical magnetic ray transforms in hyperbolic space: the complexification method from the transport-twistor lens
Abstract
We present new inversion formulas for the unattenuated and attenuated magnetic ray transforms in the Poincaré disk, in the case of a constant, supercritical magnetic field. Our approach mirrors earlier complexification approaches by Novikov (Ark. Mat., 2002) and Bal (J. Math. Pures Appl., 2005), and a second feature of this article is to connect the approach with the Transport Twistor framework recently introduced by Bohr-Paternain (J. Éc. polytech. Math., 2023; arXiv:2606.25173).
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BibTeX
@misc{monard2026supercritical,
title = {{Supercritical magnetic ray transforms in hyperbolic space: the complexification method from the transport-twistor lens}},
author = {François Monard},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.30529},
eprint = {2610.30529},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.30529},
}
RIS
TY - UNPB
TI - Supercritical magnetic ray transforms in hyperbolic space: the complexification method from the transport-twistor lens
AU - François Monard
PY - 2026
DA - 2026/10/21
PB - arXiv
DO - 10.48550/arxiv.2610.30529
UR - https://arxiv.org/abs/2610.30529
AB - We present new inversion formulas for the unattenuated and attenuated magnetic ray transforms in the Poincaré disk, in the case of a constant, supercritical magnetic field. Our approach mirrors earlier complexification approaches by Novikov (Ark. Mat., 2002) and Bal (J. Math. Pures Appl., 2005), and a second feature of this article is to connect the approach with the Transport Twistor framework recently introduced by Bohr-Paternain (J. Éc. polytech. Math., 2023; arXiv:2606.25173).
ER -