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Large scale simulations of the movements of people in a ``virtual'' city and their analyses are used to generate new insights into understanding the dynamic processes that depend on the interactions between people. Models, based on these…

物理与社会 · 物理学 2016-09-08 Gerardo Chowell , James M. Hyman , Stephen Eubank , Carlos Castillo-Chavez

We investigate the dynamics of random walks on weighted networks. Assuming that the edge's weight and the node's strength are used as local information by a random walker, we study two kinds of walks, weight-dependent walk and…

统计力学 · 物理学 2015-06-25 An-Cai Wu , Xin-Jian Xu , Zhi-Xi Wu , Ying-Hai Wang

This paper presents an evolution model of weighted networks in which the structural growth and weight dynamics are driven by human behavior, i.e. passenger route choice behavior. Transportation networks grow due to people's increasing…

物理与社会 · 物理学 2007-09-27 Yihong Hu , Daoli Zhu , Nianqu Zhu

Many biological, ecological and economic systems are best described by weighted networks, as the nodes interact with each other with varying strength. However, most network models studied so far are binary, the link strength being either 0…

无序系统与神经网络 · 物理学 2009-11-07 S. H. Yook , H. Jeong , A. -L. Barabasi , Y. Tu

Systems which consist of many localized constituents interacting with each other can be represented by complex networks. Consistently, network science has become highly popular in vast fields focusing on natural, artificial and social…

统计力学 · 物理学 2022-06-29 Rute Oliveira , Samuraí Brito , Luciano R. da Silva , Constantino Tsallis

Random walks on discrete lattices are fundamental models that form the basis for our understanding of transport and diffusion processes. For a single random walker on complex networks, many properties such as the mean first passage time and…

统计力学 · 物理学 2018-12-21 Aanjaneya Kumar , M. S. Santhanam

Using both numerical simulations and scaling arguments, we study the behavior of a random walker on a one-dimensional small-world network. For the properties we study, we find that the random walk obeys a characteristic scaling form. These…

无序系统与神经网络 · 物理学 2009-11-10 E. Almaas , R. V. Kulkarni , D. Stroud

We find that a wide class of developing and decaying networks has scaling properties similar to those that were recently observed by Barab\'{a}si and Albert in the particular case of growing networks. The networks considered here evolve…

凝聚态物理 · 物理学 2009-10-31 S. N. Dorogovtsev , J. F. F. Mendes

We present a model for growing information networks where the ageing of a node depends on the time at which it entered the network and on the last time it was cited. The model is shown to undergo a transition from a small-world to…

物理与社会 · 物理学 2007-05-23 R. Lambiotte

While current studies on complex networks focus on systems that change relatively slowly in time, the structure of the most visited regions of the Web is altered at the timescale from hours to days. Here we investigate the dynamics of…

物理与社会 · 物理学 2007-05-23 Z. Dezso , E. Almaas , A. Lukacs , B. Racz , I. Szakadat , A. -L. Barabasi

We found that models of evolving random networks exhibit dynamic scaling similar to scaling of growing surfaces. It is demonstrated by numerical simulations of two variants of the model in which nodes are added as well as removed [Phys.…

统计力学 · 物理学 2009-11-07 Miroslav Kotrla , Frantisek Slanina , Jakub Steiner

We formulate a general model for the growth of scale-free networks under filtering information conditions--that is, when the nodes can process information about only a subset of the existing nodes in the network. We find that the…

统计力学 · 物理学 2009-11-07 Stefano Mossa , Marc Barthelemy , H. Eugene Stanley , Luis A. Nunes Amaral

It has been discovered recently that many social, biological and ecological systems have the so-called small-world and scale-free features, which has provoked new research interest in the studies of various complex networks. Yet, most…

无序系统与神经网络 · 物理学 2007-05-23 Chunguang Li , Guanrong Chen

Scaling behavior of scale-free evolving networks arising in communications, citations, collaborations, etc. areas is studied. We derive universal scaling relations describing properties of such networks and indicate limits of their…

凝聚态物理 · 物理学 2009-10-31 S. N. Dorogovtsev , J. F. F. Mendes

A mass of traces of human activities show diverse dynamic patterns. In this paper, we comprehensively investigate the dynamic pattern of human attention defined by the quantity of interests on subdisciplines in an online academic…

物理与社会 · 物理学 2017-11-29 Zhi-Dan Zhao , Ya-Chun Gao , Shi-Min Cai

We introduce a formalism based on a continuous time approximation, to study the characteristics of Page Rank random walks. We find that the diffusion of the occupancy probability has a dynamics that exponentially "forgets" the initial…

统计力学 · 物理学 2020-07-17 Emilio Aced Fuentes , Simone Santini

In search of many social and economical systems, it is found that node strength distribution as well as degree distribution demonstrate the behavior of power-law with droop-head and heavy-tail. We present a new model for the growth of…

无序系统与神经网络 · 物理学 2007-05-23 Chuan-Ji Fu , Qing Ou , Wen Chen , Bing-Hong Wang , Ying-Di Jin , Yong-Wei Niu , Tao Zhou

Background: The collective browsing behavior of users gives rise to a flow network transporting attention between websites. By analyzing the structure of this network we uncovered a nontrivial scaling regularity concerning the impact of…

信息检索 · 计算机科学 2012-11-07 Lingfei Wu , Jiang Zhang

A new model, called "Human Dynamics", has been recently proposed that individuals execute activities based on a perceived priority of tasks, which can be characterized by a power-law distribution of waiting time between consecutive tasks…

计算机与社会 · 计算机科学 2019-11-05 Jonathan J. H. Zhu , Tai-Quan Peng

Many social, technological, biological, and economical systems are best described by weighted networks, whose properties and dynamics depend not only on their structures but also on the connection weights among their nodes. However, most…

无序系统与神经网络 · 物理学 2015-06-24 Chunguang Li , Guanrong Chen
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