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It is a common belief that power-law distributed avalanches are inherently unpredictable. This idea affects phenomena as diverse as evolution, earthquakes, superconducting vortices, stock markets, etc; from atomic to social scales. It…

Disordered Systems and Neural Networks · Physics 2009-11-13 O. Ramos , E. Altshuler , K. J. Maloy

Noise plays a fundamental role in a wide variety of physical and biological dynamical systems. It can arise from an external forcing or due to random dynamics internal to the system. It is well established that even weak noise can result in…

Analysis of PDEs · Mathematics 2019-08-06 Eric Forgoston , Richard O. Moore

Random graphs have played an instrumental role in modelling real-world networks arising from the internet topology, social networks, or even protein-interaction networks within cells. Percolation, on the other hand, has been the fundamental…

Probability · Mathematics 2018-09-12 Souvik Dhara

Spreading processes on networks are ubiquitous in both human-made and natural systems. Understanding their behavior is of broad interest; from the control of epidemics to understanding brain dynamics. While in some cases there exists a…

Statistical Mechanics · Physics 2021-06-23 Daniel J. Korchinski , Javier G. Orlandi , Seung-Woo Son , Jörn Davidsen

Early warning signals (EWSs) for complex dynamical systems aim to anticipate tipping points before they occur. While signals computed from time series data, such as temporal variance, are useful for this task, they are costly to obtain in…

Physics and Society · Physics 2025-05-13 Neil G. MacLaren , Kazuyuki Aihara , Naoki Masuda

Current research challenges in sustainability science require us to consider nonlinear changes e.g. shifts that do not happen gradually but can be sudden and difficult to predict. Central questions are therefore how we can prevent harmful…

The emergence of large-scale connectivity and synchronization are crucial to the structure, function and failure of many complex socio-technical networks. Thus, there is great interest in analyzing phase transitions to large-scale…

Physics and Society · Physics 2019-10-02 Raissa M. D'Souza , Jesus Gómez-Gardeñes , Jan Nagler , Alex Arenas

Interactions among people or objects are often dynamic in nature and can be represented as a sequence of networks, each providing a snapshot of the interactions over a brief period of time. An important task in analyzing such evolving…

Social and Information Networks · Computer Science 2016-06-17 Leto Peel , Aaron Clauset

This study examines long-term trends and shifting behavior in the collaboration network of mathematics literature, using a subset of data from Mathematical Reviews spanning 1985-2009. Rather than modeling the network cumulatively, this…

Dynamical processes, such as the diffusion of knowledge, opinions, pathogens, "fake news", innovation, and others, are highly dependent on the structure of the social network on which they occur. However, questions on why most social…

Physics and Society · Physics 2020-05-13 Demival Vasques Filho , Dion R. J. O'Neale

Percolation transition is widely observed in networks ranging from biology to engineering. While much attention has been paid to network topologies, studies rarely focus on critical percolation phenomena driven by network dynamics. Using…

Physics and Society · Physics 2019-01-08 Guanwen Zeng , Daqing Li , Shengmin Guo , Liang Gao , Ziyou Gao , H. Eugene Stanley , Shlomo Havlin

Standard Random Boolean Networks display an order-disorder phase transition. We add to the standard Random Boolean Networks a disconnection rule which couples the control and order parameters. By this way, the system is driven to the…

Disordered Systems and Neural Networks · Physics 2009-11-07 Bartolo Luque , Fernando J. Ballesteros , Enrique M. Muro

As one of the main subjects of investigation in data science, network science has been demonstrated a wide range of applications to real-world networks analysis and modeling. For example, the pervasive presence of structural or topological…

Logic in Computer Science · Computer Science 2020-09-28 Felipe S. Abrahão , Klaus Wehmuth , Artur Ziviani

Brain rhythms contribute to every aspect of brain function. Here, we study critical and resonance phenomena that precede the emergence of brain rhythms. Using an analytical approach and simulations of a cortical circuit model of neural…

Disordered Systems and Neural Networks · Physics 2015-06-12 A. V. Goltsev , M. A. Lopes , K. -E. Lee , J. F. F. Mendes

Functional networks are powerful tools to study statistical interdependency structures in spatially extended or multivariable systems. They have been used to get insights into the dynamics of complex systems in various areas of science. In…

Statistical Mechanics · Physics 2023-11-10 Noémie Ehstand , Reik V. Donner , Cristóbal López , Emilio Hernández-García

Modeling human dynamics responsible for the formation and evolution of the so-called social networks - structures comprised of individuals or organizations and indicating connectivities existing in a community - is a topic recently…

Computers and Society · Computer Science 2007-05-23 Victor V. Kryssanov , Frank J. Rinaldo , Evgeny L. Kuleshov , Hitoshi Ogawa

Tipping points are one of the hot topics in modern physics of complex systems. But what is a tipping point? A generic definition declares it as ``a state of the system where a small change in its parameters can lead to a significant change…

Populations and Evolution · Quantitative Biology 2026-02-25 Alan Hastings , Sergei Petrovskii , Valerio Lucarini , Andrew Morozov

In social networks, individuals constantly drop ties and replace them by new ones in a highly unpredictable fashion. This highly dynamical nature of social ties has important implications for processes such as the spread of information or…

Physics and Society · Physics 2016-01-22 Antonia Godoy-Lorite , Roger Guimera , Marta Sales-Pardo

In this thesis we contribute to the understanding of the pivotal role of the temporal dimension in networked social systems, previously neglected and now uncovered by the data revolution recently blossomed in this field. To this aim, we…

Physics and Society · Physics 2016-08-15 Michele Starnini

Climate models indicate a possible collapse of the Atlantic Meridional Overturning Circulation (AMOC) even for moderate climate change scenarios. There is considerable uncertainty in its likelihood for a given scenario and the critical…

Atmospheric and Oceanic Physics · Physics 2025-12-22 Johannes Lohmann