Zobrazeno 1 - 10
of 345
pro vyhledávání: '"Kiss, Istvan Z."'
Complex contagion models that involve contagion along higher-order structures, such as simplicial complexes and hypergraphs, yield new classes of mean-field models. Interestingly, the differential equations arising from many such models often exhibit
Externí odkaz:
http://arxiv.org/abs/2410.15330
Coupled oscillator networks often display transitions between qualitatively different phase-locked solutions -- such as synchrony and rotating wave solutions -- following perturbation or parameter variation. In the limit of weak coupling, these trans
Externí odkaz:
http://arxiv.org/abs/2402.16471
Recently there has been an increasing interest in studying dynamical processes on networks exhibiting higher-order structures, such as simplicial complexes, where the dynamics acts above and beyond dyadic interactions. Using simulations or heuristica
Externí odkaz:
http://arxiv.org/abs/2309.12752
Autor:
Malizia, Federico, Gallo, Luca, Frasca, Mattia, Kiss, István Z., Latora, Vito, Russo, Giovanni
Higher-order interactions play an important role in complex contagion processes. Mean-field approximations have been used to characterize the onset of spreading in the presence of group interactions. However, individual-based mean-field models are un
Externí odkaz:
http://arxiv.org/abs/2307.10151
Epidemic propagation on networks represents an important departure from traditional massaction models. However, the high-dimensionality of the exact models poses a challenge to both mathematical analysis and parameter inference. By using mean-field m
Externí odkaz:
http://arxiv.org/abs/2302.02470
Publikováno v:
Nature communications, 13(1), 1-8 (2022)
Networks of weakly coupled oscillators had a profound impact on our understanding of complex systems. Studies on model reconstruction from data have shown prevalent contributions from hypernetworks with triplet and higher interactions among oscillato
Externí odkaz:
http://arxiv.org/abs/2209.02740
We prove that the exact closure of SIR pairwise epidemic equations on a configuration model network is possible if and only if the degree distribution is Poisson, Binomial, or Negative Binomial. The proof relies on establishing, for these specific de
Externí odkaz:
http://arxiv.org/abs/2208.07983
Autor:
Di Lauro, Francesco, KhudaBukhsh, Wasiur R., Kiss, Istvan Z., Kenah, Eben, Jensen, Max, Rempala, Grzegorz A.
We present a new method for analyzing stochastic epidemic models under minimal assumptions. The method, dubbed DSA, is based on a simple yet powerful observation, namely that population-level mean-field trajectories described by a system of PDE may a
Externí odkaz:
http://arxiv.org/abs/2202.09948
We predict the future course of ongoing susceptible-infected-susceptible (SIS) epidemics on regular, Erd\H{o}s-R\'{e}nyi and Barab\'asi-Albert networks. It is known that the contact network influences the spread of an epidemic within a population. Th
Externí odkaz:
http://arxiv.org/abs/2111.05369
Publikováno v:
Proc. Natl. Acad. Sci. U.S.A. 118, e2024299118 (2021)
A widely held assumption on network dynamics is that similar components are more likely to exhibit similar behavior than dissimilar ones and that generic differences among them are necessarily detrimental to synchronization. Here, we show that this a
Externí odkaz:
http://arxiv.org/abs/2105.11476