Beran, T. & Rott, F. (2026)
Characterizing intrinsic Lorentzian length spaces via τ-midpoints. Differential Geometry and its Applications, 103.
DOI: 10.1016/j.difgeo.2026.102373
Beran, T., Erös, D., Ohta, S. & Rott, F. (2026)
Concavity of spacetimes. Published online in Proceedings of the Royal Society of Edinburgh: Section A Mathematics.
DOI: doi:10.1017/prm.2026.10133
Rott, F., Xu, Z. & Zanardini, M. (2026)
Lorentz meets Ptolemy.
Preprint: 2601.21596
Barton, J., Beran, T., Che, M., Gieger, S., Röhrig, J. & Rott, F. (2026)
A Splitting Theorem for non-positively curved Lorentzian spaces
Preprint: 2601.14058
Gigli, N., Rott, F. & Zanardini, M. (2026)
PDE aspects of the dynamical optimal transport in the Lorentzian setting.
Preprint: 2601.13167
Beran, T. & Rott, F. (2025)
Reshetnyak Majorisation and discrete upper curvature bounds for Lorentzian length spaces.
Preprint: 2509.05224
Beran, T., Harvey, J., Napper, L. & Rott, F. (2025)
A Toponogov globalisation result for Lorentzian length spaces. Mathematische Annalen, 392(3).
DOI: 10.1007/s00208-025-03167-w
Beran, T., Kunzinger, M., Ohanyan, A. & Rott, F. (2025)
The equivalence of smooth and synthetic notions of timelike sectional curvature bounds. Proceedings of the American Mathematical Society, 153(2).
DOI: 10.1090/proc/17022
Beran, T., Napper, L. & Rott, F. (2025)
Alexandrov’s Patchwork and the Bonnet–Myers Theorem for Lorentzian length spaces. Transactions of the American Mathematical Society, 378(4).
DOI: 10.1090/tran/9372
Beran, T., Braun, M., Calisti, M., Gigli, N., McCann, R.J., Ohanyan, A., Rott, F. & Sämann, C. (2024)
A nonlinear d'Alembert comparison theorem and causal differential calculus on metric measure spacetimes.
Preprint: 2408.15968
Beran, T., Kunzinger, M. & Rott, F. (2024)
On curvature bounds in Lorentzian length spaces. Journal of the London Mathematical Society, Second Series, 110(2).
DOI: 10.1112/jlms.12971
Beran, T. & Rott, F. (2024)
Gluing constructions for Lorentzian length spaces. Manuscripta Mathematica, 173(1-2).
DOI: 10.1007/s00229-023-01469-4
Rott, F. (2023)
Gluing of Lorentzian length spaces and the causal ladder. Classical Quantum Gravity, 40(17).
DOI: 10.1088/1361-6382/ace585
Beran, T., Ohanyan, A., Rott, F. & Solis, D. (2023)
The splitting theorem for globally hyperbolic Lorentzian length spaces with non-negative timelike curvature. Letters in Mathematical Physics, 113(48).
DOI: 10.1007/s11005-023-01668-w