[7] Shan Yu, Hongdian Yang, Hiroyuki Nakahara, Gustavo S Santos, Danko Nikolic, and Dietmar Plenz. Higher-order interactions characterized in cortical activity. Journal of neuroscience, 31(48):17514-17526, 2011.
[8] Elad Schneidman, Michael J Berry, Ronen Segev, and William Bialek. Weak pairwise correlations imply strongly correlated network states in a neural population. Nature, 440(7087):1007-1012, 2006.
[9] Michael T Schaub, Austin R Benson, Paul Horn, Gabor Lippner, and Ali Jabbabaie. Random walks on simplicial complexes and the normalized hodge 1-laplacian. SIAM Review, 62(2):353-391, 2020.
[10] Timoteo Carletti, Federico Battiston, Giulia Cencetti, and Duccio Fanelli. Random walks on hypergraphs. Physical review E, 101(2):022308, 2020.
[11] Unai Alvarez-Rodriguez, Federico Battiston, Guilherme Ferraz de Arruda, Yamir Moreno, Matjaz Perc, and Vito Latora. Evolutionary dynamics of higher-order interactions in social networks. Nature Human Behaviour, 5(5):586-595, 2021.
[12] Ana P Millan, Joaquin J Torres, and Ginestra Bianconi. Synchronization in network geometries with finite spectral dimension. Physical Review E, 99(2):022307, 2019.
[13] Alexis Arnaudon, Robert L Peach, Giovanni Petri, and Paul Expert. Connecting hodge and sakaguchi-kuramoto through a mathematical framework for coupled oscillators on simplicial complexes. Communications Physics, 5(1):211, 2022.
[14] Charlotte Luff, Robert L Peach, Emma-Jane Mallas, Edward Rhodes, Felix Laumann, Edward S Boyden, David J Sharp, Mauricio Barahona, and Nir Grossman. The neuron mixer and its impact on human brain dynamics. bioRxiv, pages 2023-01, 2023.
[15] Marco Nurisso, Alexis Arnaudon, Maxime Lucas, Robert L. Peach, Paul Expert, Francesco Vaccarino, and Giovanni Petri. A unified framework for simplicial kuramoto models, 2023.
[16] John G White, Eileen Southgate, J Nichol Thomson, Sydney Brenner, et al. The structure of the nervous system of the nematode caenorhabditis elegans. Philos Trans R Soc Lond B Biol Sci, 314(1165):1-340, 1986.
[17] Ronald Harry Atkin. Mathematical structure in human affairs. Heinemann Educational London, 1974.
[18] Jacopo Grilli, Gyorgy Barabas, Matthew J Michalska-Smith, and Stefano Allesina. Higher-order interactions stabilize dynamics in competitive network models. Nature, 548(7666):210-213, 2017.
[19] Jean-Gabriel Young, Giovanni Petri, and Tiago P Peixoto. Hypergraph reconstruction from network data. Communications Physics, 4(1):1-11, 2021.
[20] Huan Wang, Chuang Ma, Han-Shuang Chen, Ying-Cheng Lai, and Hai-Feng Zhang. Full reconstruction of simplicial complexes from binary contagion and ising data. Nature communications, 13(1):3043, 2022.
[21] Andrea Santoro, Federico Battiston, Giovanni Petri, and Enrico Amico. Higher-order organization of multivariate time series. Nature Physics, pages 1-9, 2023.
[22] H.O.Lancaster. The Chi-Squared Distribution. Wiley, 1969.
[23] Aleks Jakulin and Ivan Bratko. Quantifying and visualizing attribute interactions: An approach based on entropy. arXiv:cs.AI/0308002, 04 2004.
[24] Anthony J Bell. The co-information lattice. In Proceedings of the fifth international workshop on independent component analysis and blind signal separation: ICA, volume 2003, 2003.
[25] Fernando E Rosas, Pedro AM Mediano, Michael Gastpar, and Henrik J Jensen. Quantifying high-order interdependencies via multivariate extensions of the mutual information. Physical Review E, 100(3):032305, 2019.