135571 20260217205533.0 doi 10.1103/PhysRevE.109.054309 sideral 138711 ART-2024-138711 eng Traversa, Pietro From unbiased to maximal-entropy random walks on hypergraphs 2024 Access copy available to the general public Unrestricted Random walks have been intensively studied on regular and complex networks, which are used to represent pairwise interactions. Nonetheless, recent works have demonstrated that many real-world processes are better captured by higher-order relationships, which are naturally represented by hypergraphs. Here we study random walks on hypergraphs. Due to the higher-order nature of these mathematical objects, one can define more than one type of walks. In particular, we study the unbiased and the maximal entropy random walk on hypergraphs with two types of steps, emphasizing their similarities and differences. We characterize these dynamic processes by examining their stationary distributions and associated hitting times. To illustrate our findings, we present a toy example and conduct extensive analyses of artificial and real hypergraphs, providing insights into both their structural and dynamical properties. We hope that our findings motivate further research extending the analysis to different classes of random walks as well as to practical applications. info:eu-repo/grantAgreement/ES/DGA/E36-23R-FENOL info:eu-repo/grantAgreement/ES/MICINN/PID2020-115800GB-I00 info:eu-repo/grantAgreement/ES/UZ/UZ-SANTANDER/2020-0274 info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 2.4 2024 PHYSICS, MATHEMATICAL 13 / 61 = 0.213 2024 Q1 T1 PHYSICS, FLUIDS & PLASMAS 17 / 41 = 0.415 2024 Q2 T2 0.705 2024 Condensed Matter Physics 2024 Q2 Statistics and Probability 2024 Q2 Statistical and Nonlinear Physics 2024 Q2 4.2 2024 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Ferraz de Arruda, Guilherme Moreno, Yamir Universidad de Zaragoza (orcid)0000-0002-0895-1893 2004 405 Universidad de Zaragoza Dpto. Física Teórica Área Física Teórica 109, 5 (2024), 054309 [15 pp.] Phys. rev., E Physical Review E 2470-0045 1715421 http://zaguan.unizar.es/record/135571/files/texto_completo.pdf Postprint 3431082 http://zaguan.unizar.es/record/135571/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:135571 articulos driver 2026-02-17-20:33:23 ARTICLE