21.7k citations · 31.6k across the 143 of their papers we have counts for
9 papers · 2 filters
Random walks and diffusion on networks
Naoki Masuda, Mason A. Porter, Renaud Lambiotte
Random walks are ubiquitous in the sciences, and they are interesting from both theoretical and practical perspectives. They are one of the most fundamental types of stochastic pro…
Graph partitions and cluster synchronization in networks of oscillators
Michael T. Schaub, Neave O'Clery, Yazan N. Billeh +3
Synchronization over networks depends strongly on the structure of the coupling between the oscillators. When the coupling presents certain regularities, the dynamics can be coarse…
Stationarity of the inter-event power-law distributions
Yerali Gandica, Joao Carvalho, Fernando Sampaio Dos Aidos +2
A number of human activities exhibit a bursty pattern, namely periods of very high activity that are followed by rest periods. Records of these processes generate time series of ev…
Structural Transitions in Dense Networks
R. Lambiotte, P. L. Krapivsky, U. Bhat +1
We introduce an evolving network model in which a new node attaches to a randomly selected target node and also to each of its neighbors with probability . The resulting network…
Onset of anomalous diffusion from local motion rules
Sarah de Nigris, Timoteo Carletti, Renaud Lambiotte
Anomalous diffusion processes, in particular superdiffusive ones, are known to be efficient strategies for searching and navigation by animals and also in human mobility. One way t…
Input-output relationship in social communications characterized by spike train analysis
Takaaki Aoki, Taro Takaguchi, Ryota Kobayashi +1
We study the dynamical properties of human communication through different channels, i.e., short messages, phone calls, and emails, adopting techniques from neuronal spike train an…
Burstiness and fractional diffusion on complex networks
Sarah De Nigris, Anthony Hastir, Renaud Lambiotte
Many dynamical processes on real world networks display complex temporal patterns as, for instance, a fat-tailed distribution of inter-events times, leading to heterogeneous waitin…
On the origin of burstiness in human behavior: The wikipedia edits case
Yerali Gandica, Joao Carvalho, Fernando Sampaio Dos Aidos +2
A number of human activities exhibit a bursty pattern, namely periods of very high activity that are followed by rest periods. Records of this process generate time series of event…
Using higher-order Markov models to reveal flow-based communities in networks
Vsevolod Salnikov, Michael T. Schaub, Renaud Lambiotte
Complex systems made of interacting elements are commonly abstracted as networks, in which nodes are associated with dynamic state variables, whose evolution is driven by interacti…