Zhang, Yuanzhao; Skardal, Per Sebastian; Battiston, Federico; Petri, Giovanni; Lucas, Maxime Deeper but smaller: Higher-order interactions increase linear stability but shrink basins. arXiv:2309.16581 Preprint, arXiv:2309.16581 [nlin.AO] (2023). BibTeX Cite \textit{Y. Zhang} et al., ``Deeper but smaller: Higher-order interactions increase linear stability but shrink basins'', Preprint, arXiv:2309.16581 [nlin.AO] (2023) Full Text: arXiv OA License
Nurisso, Marco; Arnaudon, Alexis; Lucas, Maxime; Peach, Robert L.; Expert, Paul; Vaccarino, Francesco; Petri, Giovanni A unified framework for Simplicial Kuramoto models. arXiv:2305.17977 Preprint, arXiv:2305.17977 [nlin.AO] (2023). BibTeX Cite \textit{M. Nurisso} et al., ``A unified framework for Simplicial Kuramoto models'', Preprint, arXiv:2305.17977 [nlin.AO] (2023) Full Text: arXiv OA License
Expert, Paul; Petri, Giovanni Higher-order description of brain function. (English) Zbl 1504.92009 Battiston, Federico (ed.) et al., Higher-order systems. Cham: Springer. Underst. Complex Syst., 401-415 (2022). MSC: 92B20 PDFBibTeX XMLCite \textit{P. Expert} and \textit{G. Petri}, in: Higher-order systems. Cham: Springer. 401--415 (2022; Zbl 1504.92009) Full Text: DOI
Battiston, Federico (ed.); Petri, Giovanni (ed.) Higher-order systems. (English) Zbl 1495.93003 Understanding Complex Systems; Springer Complexity. Cham: Springer (ISBN 978-3-030-91373-1/hbk; 978-3-030-91374-8/ebook). x, 433 p. (2022). MSC: 93-06 05-06 93Cxx 05C65 00B15 PDFBibTeX XMLCite \textit{F. Battiston} (ed.) and \textit{G. Petri} (ed.), Higher-order systems. Cham: Springer (2022; Zbl 1495.93003) Full Text: DOI
Arnaudon, Alexis; Peach, Robert L.; Petri, Giovanni; Expert, Paul Connecting Hodge and Sakaguchi-Kuramoto: a mathematical framework for coupled oscillators on simplicial complexes. arXiv:2111.11073 Preprint, arXiv:2111.11073 [math-ph] (2021). BibTeX Cite \textit{A. Arnaudon} et al., ``Connecting Hodge and Sakaguchi-Kuramoto: a mathematical framework for coupled oscillators on simplicial complexes'', Preprint, arXiv:2111.11073 [math-ph] (2021) Full Text: arXiv OA License
Battiston, Federico; Cencetti, Giulia; Iacopini, Iacopo; Latora, Vito; Lucas, Maxime; Patania, Alice; Young, Jean-Gabriel; Petri, Giovanni Networks beyond pairwise interactions: structure and dynamics. (English) Zbl 1472.05143 Phys. Rep. 874, 1-92 (2020). MSC: 05C90 37E25 60J20 82C20 91D30 90B10 PDFBibTeX XMLCite \textit{F. Battiston} et al., Phys. Rep. 874, 1--92 (2020; Zbl 1472.05143) Full Text: DOI arXiv
Guerra, Marco; De Gregorio, Alessandro; Fugacci, Ulderico; Petri, Giovanni; Vaccarino, Francesco Homological Scaffold via Minimal Homology Bases. arXiv:2004.11606 Preprint, arXiv:2004.11606 [math.AT] (2020). MSC: 55N31 62R40 55-08 05C82 BibTeX Cite \textit{M. Guerra} et al., ``Homological Scaffold via Minimal Homology Bases'', Preprint, arXiv:2004.11606 [math.AT] (2020) Full Text: arXiv OA License
Billings, Jacob Charles Wright; Hu, Mirko; Lerda, Giulia; Medvedev, Alexey N.; Mottes, Francesco; Onicas, Adrian; Santoro, Andrea; Petri, Giovanni Simplex2Vec embeddings for community detection in simplicial complexes. arXiv:1906.09068 Preprint, arXiv:1906.09068 [physics.soc-ph] (2019). BibTeX Cite \textit{J. C. W. Billings} et al., ``Simplex2Vec embeddings for community detection in simplicial complexes'', Preprint, arXiv:1906.09068 [physics.soc-ph] (2019) Full Text: arXiv OA License
Patania, Alice; Petri, Giovanni; Vaccarino, Francesco \(P\)-persistent homology of finite topological spaces. (English) Zbl 1440.55004 Rend. Semin. Mat., Univ. Politec. Torino 75, No. 2, 27-45 (2017). MSC: 55N35 18A25 05C22 PDFBibTeX XMLCite \textit{A. Patania} et al., Rend. Semin. Mat., Univ. Politec. Torino 75, No. 2, 27--45 (2017; Zbl 1440.55004) Full Text: arXiv Link
Binchi, Jacopo; Merelli, Emanuela; Rucco, Matteo; Petri, Giovanni; Vaccarino, Francesco jHoles: a tool for understanding biological complex networks via clique weight rank persistent homology. (English) Zbl 1337.92073 Merelli, Emanuela (ed.) et al., Proceedings of the 5th international workshop on interactions between computer science and biology (CS2Bio’14), Berlin, Germany, June 6, 2014. Amsterdam: Elsevier. Electronic Notes in Theoretical Computer Science 306, 5-18, electronic only (2014). MSC: 92C42 05C82 57Q99 PDFBibTeX XMLCite \textit{J. Binchi} et al., Electron. Notes Theor. Comput. Sci. 306, 5--18 (2014; Zbl 1337.92073) Full Text: DOI
Petri, Giovanni; Scolamiero, Martina; Donato, Irene; Vaccarino, Francesco Topological strata of weighted complex networks. arXiv:1301.6498 Preprint, arXiv:1301.6498 [cond-mat.stat-mech] (2013). BibTeX Cite \textit{G. Petri} et al., ``Topological strata of weighted complex networks'', Preprint, arXiv:1301.6498 [cond-mat.stat-mech] (2013) Full Text: DOI arXiv OA License