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While actors in a population can interact with anyone else freely, social relations significantly influence our inclination towards particular individuals. The consequence of such interactions, however, may also form the intensity of our…

Physics and Society · Physics 2024-04-24 Xiaojin Xiong , Ziyan Zeng , Minyu Feng , Attila Szolnoki

Most theoretical analysis for lifetime distribution explains origins of specific distribution based on independent failure. We develop a unified framework encompassing different lifetime distribution for failure-coupled network systems. We…

Physics and Society · Physics 2024-07-12 Yimeng Liu , Shaobo Sui , Dan Lu , Rui Peng , Mingyang Bai , Daqing Li

Evolutionary models are used to study the self-organisation of collective action, often incorporating population structure due to its ubiquitous presence and long-known impact on emerging phenomena. We investigate the evolution of…

Populations and Evolution · Quantitative Biology 2023-04-20 Diogo L. Pires , Igor Erovenko , Mark Broom

We define a dynamic model of random networks, where new vertices are connected to old ones with a probability proportional to a sublinear function of their degree. We first give a strong limit law for the empirical degree distribution, and…

Probability · Mathematics 2008-07-31 Steffen Dereich , Peter Morters

In this work we study the behavior of classical two-person, two-strategies evolutionary games on networks embedded in a Euclidean two-dimensional space with different kinds of degree distributions and topologies going from regular to…

Physics and Society · Physics 2013-07-03 Pierre Buesser , Marco Tomassini

A longitudinal social network evolves over time through the creation and/ or deletion of links among a set of actors (e.g. individuals or organizations). Longitudinal social networks are studied by network science and social science…

Social and Information Networks · Computer Science 2013-11-04 Shahadat Uddin , Mahendra Piraveenan , Arif Khan , Babak Amiri

Networks built to model real world phenomena are characeterised by some properties that have attracted the attention of the scientific community: (i) they are organised according to community structure and (ii) their structure evolves with…

Social and Information Networks · Computer Science 2019-09-04 Giulio Rossetti , Rémy Cazabet

Games with environmental feedback have become a crucial area of study across various scientific domains, modelling the dynamic interplay between human decisions and environmental changes, and highlighting the consequences of our choices on…

Physics and Society · Physics 2024-03-19 Meghdad Saeedian , Chengyi Tu , Fabio Menegazzo , Paolo D'Odorico , Sandro Azaele , Samir Suweis

We present a dynamical model for rewiring and attachment in bipartite networks in which edges are added between nodes that belong to catalogs that can either be fixed in size or growing in size. The model is motivated by an empirical study…

Physics and Society · Physics 2013-09-10 Mariano Beguerisse-Diaz , Mason A. Porter , Jukka-Pekka Onnela

Lifetime distributions of social entities, such as enterprises, products, and media contents, are one of the fundamental statistics characterizing the social dynamics. To investigate the lifetime distribution of mutually interacting…

Physics and Society · Physics 2015-08-20 Yohsuke Murase , Takashi Shimada , Nobuyasu Ito , Per Arne Rikvold

The study of citation networks is of interest to the scientific community. However, the underlying mechanism driving individual citation behavior remains imperfectly understood, despite the recent proliferation of quantitative research…

Physics and Society · Physics 2021-11-03 Feng Hu , Lin Ma , Xiu-Xiu Zhan , Yinzuo Zhou , Chuang Liu , Haixing Zhao , Zi-Ke Zhang

Networks evolve continuously over time with the addition, deletion, and changing of links and nodes. Such temporal networks (or edge streams) consist of a sequence of timestamped edges and are seemingly ubiquitous. Despite the importance of…

Machine Learning · Computer Science 2020-07-20 John Boaz Lee , Giang Nguyen , Ryan A. Rossi , Nesreen K. Ahmed , Eunyee Koh , Sungchul Kim

How do real graphs evolve over time? What are ``normal'' growth patterns in social, technological, and information networks? Many studies have discovered patterns in static graphs, identifying properties in a single snapshot of a large…

Physics and Society · Physics 2007-05-23 Jure Leskovec , Jon Kleinberg , Christos Faloutsos

Many natural, engineered, and social systems can be represented using the framework of a layered network, where each layer captures a different type of interaction between the same set of nodes. The study of such multiplex networks is a…

Physics and Society · Physics 2020-05-12 Haochen Wu , Ryan G. James , James P. Crutchfield , Raissa M. D'Souza

Building on existing stochastic actor-oriented models for panel data, we employ a conditional logistic framework to explore growth mechanisms for tie creation in continuously-observed networks. This framework models the likelihood of tie…

Physics and Society · Physics 2011-08-19 Tore Opsahl , Bernie Hogan

We have generalized our ``unified'' model of evolutionary ecology by taking into account the possible movements of the organisms from one ``patch'' to another within the same eco-system. We model the spatial extension of the eco-system…

Populations and Evolution · Quantitative Biology 2009-11-10 Dietrich Stauffer , Ambarish Kunwar , Debashish Chowdhury

By introducing the notions of living and dead nodes a new model of random tree evolution with continuous time parameter has been constructed. It is assumed that two random variables, the lifetime and the offspring number of living nodes…

Statistical Mechanics · Physics 2007-05-23 L. Pal

Dynamic community detection concerns inferring how community memberships evolve over time, including the emergence, persistence, merging, and dissolution of groups in temporal networks. We propose a Bayesian nonparametric model for…

Methodology · Statistics 2026-04-09 Xenia Miscouridou , Francesca Panero , Antreas Laos

Network embedding aims to embed nodes into a low-dimensional space, while capturing the network structures and properties. Although quite a few promising network embedding methods have been proposed, most of them focus on static networks.…

Machine Learning · Computer Science 2019-09-11 Yuanfu Lu , Xiao Wang , Chuan Shi , Philip S. Yu , Yanfang Ye

Diffusion processes are instrumental to describe the movement of a continuous quantity in a generic network of interacting agents. Here, we present a probabilistic framework for diffusion in networks and propose to classify agent…

Social and Information Networks · Computer Science 2015-08-28 Wai Hong Ronald Chan , Matthias Wildemeersch , Tony Q. S. Quek
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