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We study the multi-scale description of large-time collective behavior of agents driven by alignment. The resulting multi-flock dynamics arises naturally with realistic initial configurations consisting of multiple spatial scaling, which in…

偏微分方程分析 · 数学 2020-03-11 Roman Shvydkoy , Eitan Tadmor

We consider a Gaussian statistical model whose parameter space is given by the variances of random variables. Underlying this model we identify networks by interpreting random variables as sitting on vertices and their correlations as…

数学物理 · 物理学 2015-06-17 Domenico Felice , Stefano Mancini , Marco Pettini

In-depth studies of sociotechnical systems are largely limited to single instances. Network surveys are expensive, and platforms vary in important ways, from interface design, to social norms, to historical contingencies. With single…

社会与信息网络 · 计算机科学 2018-11-06 Abigail Z. Jacobs

There has been a long debate on how new levels of organization have evolved. It might seem unlikely, as cooperation must prevail over competition. One well-studied example is the emergence of autocatalytic sets, which seem to be a…

种群与进化 · 定量生物学 2026-02-16 Sean P. Maley , Carlos Gershenson , Stuart A. Kauffman

We comprehensively studied the morphology of the self-organized effective network structures that form in simple coupled maps with interelement synchronization-dependent connection changes. Based on the parameter values, the spontaneous…

适应与自组织系统 · 物理学 2022-02-09 Taito Nakanishi , Masashi Fujii , Akinori Awazu

How do inter-organizational networks emerge? Accounting for interdependence among ties while studying tie formation is one of the key challenges in this area of research. We address this challenge using an equilibrium framework where firms'…

计量经济学 · 经济学 2021-05-04 Shweta Gaonkar , Angelo Mele

Ergodic parameters like the Lyapunov and the conditional exponents are global functions of the invariant measure, but the invariant measure itself contains more information. A more complete characterization of the dynamics by new families…

混沌动力学 · 物理学 2012-11-27 R. Vilela Mendes

A large number of complex systems, naturally emerging in various domains, are well described by directed networks, resulting in numerous interesting features that are absent from their undirected counterparts. Among these properties is a…

物理与社会 · 物理学 2021-05-19 Joseph D. O'Brien , Kleber A. Oliveira , James P. Gleeson , Malbor Asllani

An array system of coupled maps is proposed as a model for economy evolution. The local dynamics of each map or agent is controlled by two parameters. One of them represents the growth capacity of the agent and the other one is a control…

适应与自组织系统 · 物理学 2008-12-02 J. R. Sanchez , R. Lopez-Ruiz

People organize in groups and contagions spread across them. A simple stochastic process, yet complex to model due to dynamical correlations within and between groups. Moreover, groups can evolve if agents join or leave in response to…

物理与社会 · 物理学 2025-05-22 Giulio Burgio , Guillaume St-Onge , Laurent Hébert-Dufresne

The evolution of cooperation in networked systems helps to understand the dynamics in social networks, multi-agent systems, and biological species. The self-persistence of individual strategies is common in real-world decision making. The…

社会与信息网络 · 计算机科学 2025-11-25 Ziyan Zeng , Minyu Feng , Attila Szolnoki

We study collaboration networks in terms of evolving, self-organizing bipartite graph models. We propose a model of a growing network, which combines preferential edge attachment with the bipartite structure, generic for collaboration…

统计力学 · 物理学 2009-11-10 Jose J. Ramasco , S. N. Dorogovtsev , Romualdo Pastor-Satorras

Despite their claimed biological plausibility, most self organizing networks have strict topological constraints and consequently they cannot take into account a wide range of external stimuli. Furthermore their evolution is conditioned by…

综合物理 · 物理学 2010-04-26 Ignazio Licata , Luigi Lella

Quantity of organization in complex networks here is measured as the inverse of the average sum of physical actions of all elements per unit motion multiplied by the Planck's constant. The meaning of quantity of organization is the inverse…

适应与自组织系统 · 物理学 2013-09-03 Georgi Yordanov Georgiev

We study systems of interacting reinforced stochastic processes, where agents' decisions evolve under reinforcement, network-mediated interactions, and environmental influences. In competitive environments with irreducible networks, we…

概率论 · 数学 2025-09-18 Michele Aleandri , Paolo Dai Pra , Ida Germana Minelli

A hybrid model for opinion dynamics in complex multi-agent networks is introduced, wherein some continuous-valued agents average neighbors' opinions to update their own, while other discrete-valued agents use stochastic copying and voting…

系统与控制 · 计算机科学 2019-04-01 Mengran Xue , Sandip Roy

This paper studies identification and estimation in semiparametric logit models when social networks are endogenous. In many applications, unobserved individual traits shape both the outcome of interest and the formation of social ties, so…

计量经济学 · 经济学 2026-03-13 Brice Romuald Gueyap Kounga

Complex systems often exhibit highly structured network topologies that reflect functional constraints. In this work, we investigate how, under varying combinations of system-wide selection rules and special agents, different classes of…

适应与自组织系统 · 物理学 2025-06-02 Amalia Puente , Diego Radillo-Ochoa , C. A. Terrero-Escalante

Universality in the behavior of complex systems often reveals itself in the form of scale-invariant distributions that are essentially independent of the details of the microscopic dynamics. A representative paradigm of complex behavior in…

统计力学 · 物理学 2007-05-23 G. Malescio , N. V. Dokholyan , S. V. Buldyrev , H. Eugene Stanley

We define a class of dynamical maps on the quasi-local algebra of a quantum spin system, which are quantum analogues of probabilistic cellular automata. We develop criteria for such a system to be ergodic, i.e., to possess a unique…

凝聚态物理 · 物理学 2009-10-28 S. Richter , R. F. Werner