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We introduce a model for information spreading among a population of N agents diffusing on a square LxL lattice, starting from an informed agent (Source). Information passing from informed to unaware agents occurs whenever the relative…

Statistical Mechanics · Physics 2009-11-11 E. Agliari , R. Burioni , D. Cassi , F. M. Neri

We study a natural information dissemination problem for multiple mobile agents in a bounded Euclidean space. Agents are placed uniformly at random in the $d$-dimensional space $\{-n, ..., n\}^d$ at time zero, and one of the agents holds a…

Probability · Mathematics 2011-10-04 Henry Lam , Zhenming Liu , Michael Mitzenmacher , Xiaorui Sun , Yajun Wang

The spread in time of a mutation through a population is studied analytically and computationally in fully-connected networks and on spatial lattices. The time, t_*, for a favourable mutation to dominate scales with population size N as…

Populations and Evolution · Quantitative Biology 2007-05-23 C. J. Paley , S. N. Taraskin , S. R. Elliott

The rural-urban migration phenomenon is analyzed by using an agent-based computational model. Agents are placed on lattices which dimensions varying from d=2 up to d=7. The localization of the agents in the lattice define their social…

Computational Physics · Physics 2016-08-16 Aquino L. Espíndola , T. J. P. Penna , Jaylson J. Silveira

To better understand the inner workings of information spreading, network researchers often use simple models to capture the spreading dynamics. But most models only highlight the effect of local interactions on the global spreading of a…

Physics and Society · Physics 2014-01-29 Atieh Mirshahvalad , Alcides Viamontes , Ludvig Lizana , Martin Rosvall

Device-to-device (D2D) communication enables us to spread information in the local area without infrastructure support. In this paper, we focus on information spreading in mobile wireless networks where all nodes move around. The source…

Networking and Internet Architecture · Computer Science 2014-06-04 Jinho Choi , Seung Min Yu , Seong-Lyun Kim

The goal of this paper is to increase our understanding of the fundamental performance limits of mobile and Delay Tolerant Networks (DTNs), where end-to-end multi-hop paths may not exist and communication routes may only be available…

Information Theory · Computer Science 2009-03-09 Philippe Jacquet , Bernard Mans , Georgios Rodolakis

We study the critical properties of a model of information spreading based on the SIS epidemic model. Spreading rates decay with time, as ruled by two parameters, $\epsilon$ and $l$, that can be either constant or randomly distributed in…

Physics and Society · Physics 2012-12-12 Marlon Ramos , Nuno Crokidakis , Celia Anteneodo

The mechanisms of information transmission are investigated in a lattice of coupled continuous maps, by analyzing the propagation of both finite and infinitesimal disturbances. Two distinct regimes are detected: in the former case, both…

chao-dyn · Physics 2009-10-22 Antonio Politi , Alessandro Torcini

Using large deviations results that characterize the amount of information per node on a two-dimensional (2-D) lattice, asymptotic behavior of a sensor network deployed over a correlated random field for statistical inference is…

Information Theory · Computer Science 2016-11-15 Youngchul Sung , H. Vincent Poor , Heejung Yu

A full-rank lattice in the Euclidean space is a discrete set formed by all integer linear combinations of a basis. Given a probability distribution on $\mathbb{R}^n$, two operations can be induced by considering the quotient of the space by…

Information Theory · Computer Science 2024-05-15 Fábio C. C. Meneghetti , Henrique K. Miyamoto , Sueli I. R. Costa

We study the phenomenon of information propagation on mobile geometric scale-free random graphs, where vertices instantaneously pass on information to all other vertices in the same connected component. The graphs we consider are…

Probability · Mathematics 2024-04-24 Peter Gracar , Arne Grauer

The social percolation model \citep{solomon-et-00} considers a 2-dimensional regular lattice. Each site is occupied by an agent with a preference $x_{i}$ sampled from a uniform distribution $U[0,1]$. Agents transfer the information about…

Physics and Society · Physics 2021-03-17 Frank Schweitzer

We study message transport on a $1-d$ ring of nodes and randomly distributed hubs. Messages are deposited on the network at a constant rate. When the rate at which messages are deposited on the lattice is very high, messages start…

Statistical Mechanics · Physics 2009-10-20 Satyam Mukherjee , Gautam Mukherjee , Neelima Gupte

Recent empirical studies have confirmed the key roles of complex contagion mechanisms such as memory, social reinforcement, and decay effects in information diffusion and behaviour spreading. Inspired by this fact, we here propose a new…

Physics and Society · Physics 2014-08-20 Pengbi Cui , Ming Tang , Zhi-Xi Wu

Spectral graph theory gives an algebraical approach to analyze the dynamics of a network by using the matrix that represents the network structure. However, it is not easy for social networks to apply the spectral graph theory because the…

Social and Information Networks · Computer Science 2020-04-02 Yusuke Sakumoto , Tsukasa Kameyama , Chisa Takano , Masaki Aida

For the study of information propagation, one fundamental problem is uncovering universal laws governing the dynamics of information propagation. This problem, from the microscopic perspective, is formulated as estimating the propagation…

Social and Information Networks · Computer Science 2014-06-19 Junming Huang , Chao Li , Wen-Qiang Wang , Hua-Wei Shen , Guojie Li , Xue-Qi Cheng

We show that a signal can propagate in a particular direction through a model random medium regardless of the precise state of the medium. As a prototype, we consider a point particle moving on a one-dimensional lattice whose sites are…

Statistical Mechanics · Physics 2015-06-25 Patrick Grosfils , Jean Pierre Boon , E. G. D. Cohen , L. A. Bunimovich

In nonlinear disordered Hamiltonian lattices, where there are no propagating phonons, the spreading of energy is of subdiffusive nature. Recently, the universality class of the subdiffusive spreading according to the nonlinear diffusion…

Chaotic Dynamics · Physics 2012-11-28 Mario Mulansky , Arkady Pikovsky

We propose a stochastic model describing a process of awareness, evaluation and decision-making by agents on the d-dimensional integer lattice. Each agent may be in any of the three states belonging to the set {0, 1, 2}. In this model 0…

Probability · Mathematics 2016-02-08 Cristian F. Coletti , Karina B. E. de Oliveira , Pablo M. Rodriguez
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