preprints
A. N. Busch*, R. C. Budzinski*, F. W. Pasini, J. Mináč, J. A. Michaels, M. Roussy, R. A. Gulli, B. Corrigan, J. A. Pruszynski, J. Martinez-Trujillo, L. E. Muller, "A mathematical language for linking fine-scale structure in spikes from hundreds to thousands of neurons with behaviour", arXiv:2412.03804. (paper)
R. C. Budzinski, J. W. C. Graham, J. Mináč, L. E. Muller, "Theory of transient chimeras in finite Sakaguchi-Kuramoto networks", arXiv:2311.01382. (paper)
2025
Y. Sinha, P. B. Jain, A. Mihara, R. O. Medrano-T, J. Mináč, L. E. Muller†, R. C. Budzinski†, "Geometric perspective of linear stability of q-states in finite Kuramoto networks on circulant graphs", Physical Review E 112, 054204, 2025. (paper) (code)
A. Mihara, C. M. Kuwana, R. C. Budzinski, L. E. Muller, R. O. Medrano-T, "Bifurcations and collective states of Kuramoto oscillators with higher-order interactions and rotational symmetry breaking", Chaos 35 (3), 033133, 2025. (paper)
M. Jacobs, R. C. Budzinski, L. Muller, D. Ba, T. A. Keller, "Traveling waves integrate spatial information into spectral representations", ICLR 2025 Re-Align Workshop. (paper) (media coverage: "Traveling Waves Integrate Spatial Information Through Time")
K. L. Rossi, R. C. Budzinski, E. S. Ribeiro, B. R. R. Boaretto, L. E. Muller, U. Feudel, “Dynamical properties and mechanisms of metastability: a perspective in neuroscience”, Physical Review E 111, 021001. (paper)
L. H. B. Liboni*, R. C. Budzinski*, A. N. Busch*, S. Löwe, T. A. Keller, M. Welling, L. E. Muller, "Image segmentation with traveling waves in an exactly solvable recurrent neural network", Proceedings of the National Academy of Sciences 122 (1) e2321319121, 2025. (paper) (code) (media coverage: "Mathematical technique 'opens the black box' of AI decision-making")
* co-first authors
† co-senior authors