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Adaptive networks consist of a collection of agents with adaptation and learning abilities. The agents interact with each other on a local level and diffuse information across the network through their collaborations. In this work, we…

信息论 · 计算机科学 2015-06-04 Sheng-Yuan Tu , Ali H. Sayed

We consider an interacting particle system representing the spread of a rumor 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}. Here 0 stands for ignorants, 1 for…

概率论 · 数学 2015-06-04 Cristian F. Coletti , Pablo M. Rodriguez , Rinaldo B. Schinazi

The properties of a particle diffusing on a one-dimensional lattice where at each site a random barrier and a random trap act simultaneously on the particle are investigated by numerical and analytical techniques. The combined effect of…

凝聚态物理 · 物理学 2009-10-28 Achille Giacometti , K. P. N. Murthy

We study the efficiency of the gradient mechanism of message transfer in a $2-d$ communication network of regular nodes and randomly distributed hubs. Each hub on the network is assigned some randomly chosen capacity and hubs with lower…

物理与社会 · 物理学 2009-11-13 Satyam Mukherjee , Neelima Gupte

We study push-pull rumour spreading in ultra-small-world models for social networks where the degrees follow a power-law distribution. In a non-geometric setting, Fountoulakis, Panagiotou and Sauerwald have shown that rumours always spread…

We study general lattice bosons with long-range hopping and long-range interactions decaying as $|x-y|^{-\alpha} $ with $\alpha\in (d+2,2d+1)$. We find a linear light cone for the information propagation starting from suitable initial…

数学物理 · 物理学 2023-12-19 Marius Lemm , Carla Rubiliani , Israel Michael Sigal , Jingxuan Zhang

Most information spreading models consider that all individuals are identical psychologically. They ignore, for instance, the curiosity level of people, which may indicate that they can be influenced to seek for information given their…

物理与社会 · 物理学 2017-06-27 Didier A. Vega-Oliveros , Lilian Berton , Federico Vazquez , Francisco A. Rodrigues

Nodes movements play a significant role in disseminating messages in the sparse mobile ad-hoc network. In the network scenarios, where traditional end-to-end paths do not exist, mobility creates opportunities for nodes to connect and…

网络与互联网体系结构 · 计算机科学 2013-05-07 Hemal Shah , Yogeshwar Kosta , Vikrant Patel

In this modification of the Sznajd consensus model on the square lattice, two people of arbitrary distance who agree in their opinions convince their nearest neighbours of this opinion. Similarly to the mean field theory of Slanina and…

统计力学 · 物理学 2009-11-10 Christian Schulze

We investigate the problem of spreading information contents in a wireless ad hoc network with mechanisms embracing the peer-to-peer paradigm. In our vision, information dissemination should satisfy the following requirements: (i) it…

网络与互联网体系结构 · 计算机科学 2009-01-14 Claudio Casetti , Carla-Fabiana Chiasserini , Marco Fiore , Chi-Anh La , Pietro Michiardi

We consider a simple two-dimemsional harmonic lattice with random, independent and identically distributed masses. Using the methods of stochastic homogenization, we show that solutions with long wave initial data converge in an appropriate…

偏微分方程分析 · 数学 2023-01-24 Joshua A. McGinnis

We study a variant of the Cucker-Smale model where information between agents propagates with a finite speed $\mathfrak{c}>0$. This leads to a system of functional differential equations with state-dependent delay. We prove that, if…

偏微分方程分析 · 数学 2021-12-28 Jan Haskovec

We present numerical results for various information theoretic properties of the square lattice Ising model. First, using a bond propagation algorithm, we find the difference $2H_L(w) - H_{2L}(w)$ between entropies on cylinders of finite…

统计力学 · 物理学 2013-03-14 Hon Wai Lau , Peter Grassberger

Consider the time-dependent problem of mass transfer of a solute between two phases and assume that the solute is initially distributed in one phase (phase 2) and absent from the other (phase 1). We desire the fraction of total solute…

软凝聚态物质 · 物理学 2021-11-17 Salvatore Torquato

Exploring the internal mechanism of information spreading is critical for understanding and controlling the process. Traditional spreading models often assume individuals play the same role in the spreading process. In reality, however,…

社会与信息网络 · 计算机科学 2025-07-10 Chang Su , Fang Zhou , Linyuan Lü

We consider a periodic lattice structure in $d=2$ or $3$ dimensions with unit cell comprising $Z$ thin elastic members emanating from a similarly situated central node. A general theoretical approach provides an algebraic formula for the…

材料科学 · 物理学 2014-10-09 Andrew N. Norris

We consider an information dissemination problem where the root of an undirected graph constantly updates its information. The goal is to keep every other node in the graph about the root as freshly informed as possible. Our synchronous…

社会与信息网络 · 计算机科学 2022-07-18 Da Qi Chen , Lin An , Aidin Niaparast , R. Ravi , Oleksandr Rudenko

In this paper a lattice model for diffusional transport of particles in the interphase cell nucleus is proposed. Dense networks of chromatin fibers are created by three different methods: randomly distributed, non-interconnected obstacles,…

生物物理 · 物理学 2009-11-13 Annika Wedemeier , Holger Merlitz , Chen-Xu Wu , Jörg Langowski

Many of today's most pressing issues require a more robust understanding of how information spreads in populations. Current models of information spread can be thought of as falling into one of two varieties: epidemiologically-inspired…

物理与社会 · 物理学 2025-03-03 Sagar Kumar , Moritz Laber , Maimuna S. Majumder , Brooke Foucault Welles

We investigate a network model based on an infinite regular square lattice embedded in the Euclidean plane where the node connection probability is given by the geometrical distance of nodes. We show that the degree distribution in the…

物理与社会 · 物理学 2008-06-23 Matus Medo , Jan Smrek