08/23
2023
Seminar
- Title题目 The dynamic nature of percolation on networks with triadic interactions
- Speaker报告人 孙汉林 (Nordic Institute for Theoretical Physics)
- Date日期 2023年8月23日 16:00
- Venue地点 南楼6620
Abstract摘要
Percolation establishes the connectivity of complex networks and is one of the most fundamental critical phenomena for the study of complex systems. On simple networks, percolation displays a second-order phase transition; on multiplex networks, the percolation transition can become discontinuous. However, little is known about percolation in networks with higher-order interactions. Here, we show that percolation can be turned into a fully fledged dynamical process when higher-order interactions are taken into account. By introducing signed triadic interactions, in which a node can regulate the interactions between two other nodes, we define triadic percolation. We uncover that in this paradigmatic model the connectivity of the network changes in time and that the order parameter undergoes a period doubling and a route to chaos. We provide a general theory for triadic percolation which accurately predicts the full phase diagram on random graphs as confirmed by extensive numerical simulations. We find that triadic percolation on real network topologies reveals a similar phenomenology. These results radically change our understanding of percolation and may be used to study complex systems in which the functional connectivity is changing in time dynamically and in a non-trivial way, such as in neural and climate networks.
报告人简介:
Hanlin is a finishing Ph.D. student at Queen Mary University of London, UK, working on network theory. His research focuses on several aspects of dynamic processes on networks and other structures with higher-order interactions, such as simplicial complexes and hypergraphs, under the supervision of Prof. Ginestra Bianconi. His Ph.D. thesis develops general frameworks of percolation aiming at understanding the interplay between higher-order network structures and the critical properties of dynamics on networks.
From September he will start his new position as WINQ Research Fellow at NORDITA (Nordic Institute for Theoretical Physics), Stockholm University and KTH Royal Institute of Technology.
邀请人：
张潘 研究员
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