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Burstiness, the tendency of interaction events to be heterogeneously distributed in time, is critical to information diffusion in physical and social systems. However, an analytical framework capturing the effect of burstiness on generic dynamics is lacking. Here we develop a master equation formalism to study cascades on temporal networks with burstiness modelled by renewal processes. Supported by numerical and data-driven simulations, we describe the interplay between heterogeneous temporal interactions and models of threshold-driven and epidemic spreading. We find that increasing interevent time variance can both accelerate and decelerate spreading for threshold models, but can only decelerate epidemic spreading. When accounting for the skewness of different interevent time distributions, spreading times collapse onto a universal curve. Our framework uncovers a deep yet subtle connection between generic diffusion mechanisms and underlying temporal network structures that impacts a broad class of networked phenomena, from spin interactions to epidemic contagion and language dynamics. Paper: Unicomb, S. Iñiguez, G., Gleeson, J. P., Karsai, M. "Dynamics of cascades on burstiness-controlled temporal networks." Nature communications 12.1 (2021): 1-10. https://doi.org/10.1038/s41467-020-20... Bio: Gerardo Iñiguez is assistant professor at the Department of Network and Data Science of Central European University (CEU, Austria), visiting researcher at Aalto University (Finland) & UNAM (Mexico), and CEO & co-founder at Predify (Mexico), a data science consulting startup. He's also Academic Editor at PLoS ONE and Information, member of the European Humane AI Net project, and member of the Data Analytics Faculty Group of the Executive MBA program at CEU. Gerardo's research involves the empirical analysis and mathematical modeling of dynamics of/on networks, including analytical formalisms to describe network dynamics. He's worked in information and behavioral spreading over techno-social networks, in the dynamics of rank and hierarchies in complex systems, in conflict emergence and resolution in online collaborative environments, in opinion formation and deception in adaptive social networks, and in the sustainability of urban mobility. Gerardo also writes fiction, trains martial arts, and co-develops video games in Salmon Snake Studio, an indie developer in Mexico. Find out more on his website at: www.gerardoiniguez.com. This seminar is part of the Network Seminar series organized by Liubov Tupikina and Marc Santolini at CRI, Paris (https://interactiondatalab.com/networ....