000135571 001__ 135571 000135571 005__ 20250923084422.0 000135571 0247_ $$2doi$$a10.1103/PhysRevE.109.054309 000135571 0248_ $$2sideral$$a138711 000135571 037__ $$aART-2024-138711 000135571 041__ $$aeng 000135571 100__ $$aTraversa, Pietro 000135571 245__ $$aFrom unbiased to maximal-entropy random walks on hypergraphs 000135571 260__ $$c2024 000135571 5060_ $$aAccess copy available to the general public$$fUnrestricted 000135571 5203_ $$aRandom 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. 000135571 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E36-23R-FENOL$$9info:eu-repo/grantAgreement/ES/MICINN/PID2020-115800GB-I00$$9info:eu-repo/grantAgreement/ES/UZ/UZ-SANTANDER/2020-0274 000135571 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000135571 590__ $$a2.4$$b2024 000135571 592__ $$a0.705$$b2024 000135571 591__ $$aPHYSICS, MATHEMATICAL$$b13 / 61 = 0.213$$c2024$$dQ1$$eT1 000135571 593__ $$aCondensed Matter Physics$$c2024$$dQ2 000135571 591__ $$aPHYSICS, FLUIDS & PLASMAS$$b17 / 41 = 0.415$$c2024$$dQ2$$eT2 000135571 593__ $$aStatistics and Probability$$c2024$$dQ2 000135571 593__ $$aStatistical and Nonlinear Physics$$c2024$$dQ2 000135571 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000135571 700__ $$aFerraz de Arruda, Guilherme 000135571 700__ $$0(orcid)0000-0002-0895-1893$$aMoreno, Yamir$$uUniversidad de Zaragoza 000135571 7102_ $$12004$$2405$$aUniversidad de Zaragoza$$bDpto. Física Teórica$$cÁrea Física Teórica 000135571 773__ $$g109, 5 (2024), 054309 [15 pp.]$$pPhys. rev., E$$tPhysical Review E$$x2470-0045 000135571 8564_ $$s1715421$$uhttps://zaguan.unizar.es/record/135571/files/texto_completo.pdf$$yPostprint 000135571 8564_ $$s3431082$$uhttps://zaguan.unizar.es/record/135571/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint 000135571 909CO $$ooai:zaguan.unizar.es:135571$$particulos$$pdriver 000135571 951__ $$a2025-09-22-14:36:42 000135571 980__ $$aARTICLE