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The propagation of signalling molecules within cellular networks is affected by network topology, but also by the spatial arrangement of cells in the networks. Understanding the collective reaction--diffusion behaviour in space of signals…

Disordered Systems and Neural Networks · Physics 2025-01-09 Adel Mehrpooya , Vivien J. Challis , Pascal R. Buenzli

Random walk on discrete lattice models is important to understand various types of transport processes. The extreme events, defined as exceedences of the flux of walkers above a prescribed threshold, have been studied recently in the…

Statistical Mechanics · Physics 2012-05-31 Vimal Kishore , M. S. Santhanam , R. E. Amritkar

Two important aspects of the Internet, namely the properties of its topology and the characteristics of its data traffic, have attracted growing attention of the physics community. My thesis has considered problems of both aspects. First I…

Networking and Internet Architecture · Computer Science 2008-10-08 Attila Fekete

In communication networks structure and dynamics are tightly coupled. The structure controls the flow of information and is itself shaped by the dynamical process of information exchanged between nodes. In order to reconcile structure and…

Physics and Society · Physics 2013-04-08 Jan O. Haerter , Bjorn Jamtveit , Joachim Mathiesen

Real networks can be classified into two categories: fractal networks and non-fractal networks. Here we introduce a unifying model for the two types of networks. Our model network is governed by a parameter $q$. We obtain the topological…

Other Condensed Matter · Physics 2008-08-07 Zhongzhi Zhang , Shuigeng Zhou , Lichao Chen , Jihong Guan

The rapid diffusion of information and the adoption of social behaviors are of critical importance in situations as diverse as collective actions, pandemic prevention, or advertising and marketing. Although the dynamics of large cascades…

Physics and Society · Physics 2020-12-30 Hao Peng , Azadeh Nematzadeh , Daniel M. Romero , Emilio Ferrara

We study the diffusion of influence in random multiplex networks where links can be of $r$ different types, and for a given content (e.g., rumor, product, political view), each link type is associated with a content dependent parameter…

Physics and Society · Physics 2012-09-11 Osman Yagan , Virgil Gligor

We investigate and quantify the interplay between topology and ability to send specific signals in complex networks. We find that in a majority of investigated real-world networks the ability to communicate is favored by the network…

Disordered Systems and Neural Networks · Physics 2007-05-23 A. Trusina , M. Rosvall , K. Sneppen

We introduce a growing network model---the copying model---in which a new node attaches to a randomly selected target node and, in addition, independently to each of the neighbors of the target with copying probability $p$. When…

Statistical Mechanics · Physics 2016-12-14 U. Bhat , P. L. Krapivsky , R. Lambiotte , S. Redner

Network topology and its relationship to tie strengths may hinder or enhance the spreading of information in social networks. We study the correlations between tie strengths and topology in networks of scientific collaboration, and show…

Physics and Society · Physics 2012-01-12 Raj Kumar Pan , Jari Saramäki

The structure of polymer networks, defined by chain lengths and connectivity patterns, fundamentally influences their bulk properties. While existing polymer network models connect chain properties to emergent network behavior, they are…

Soft Condensed Matter · Physics 2026-03-17 Jason Mulderrig , Michael Buche , Matthew Grasinger

We investigate disease spreading on eight empirical data sets of human contacts (mostly proximity networks recording who is close to whom, at what time). We compare three levels of representations of these data sets: temporal networks,…

Populations and Evolution · Quantitative Biology 2016-09-14 Petter Holme

Quantum spin networks overcome the challenges of traditional charge-based electronics by encoding the information into spin degrees of freedom. Although beneficial for transmitting information with minimal losses when compared to their…

Quantum Physics · Physics 2017-08-03 Paul Bogdan , Edmond Jonckheere , Sophie Schirmer

Understanding the importance of links in transmitting information in a network can provide ways to hinder or postpone ongoing dynamical phenomena like the spreading of epidemic or the diffusion of information. In this work, we propose a new…

Social and Information Networks · Computer Science 2018-02-16 Qian Zhang , Márton Karsai , Alessandro Vespignani

One of the challenges in fighting cybercrime is to understand the dynamics of message propagation on botnets, networks of infected computers used to send viruses, unsolicited commercial emails (SPAM) or denial of service attacks. We map…

Disordered Systems and Neural Networks · Physics 2015-05-20 Tamara Mihaljev , Lucilla de Arcangelis , Hans J. Herrmann

In network models of spiking neurons, the joint impact of network structure and synaptic parameters on activity propagation is still an open problem. Here we use an information-theoretical approach to investigate activity propagation in…

Neurons and Cognition · Quantitative Biology 2020-04-14 Rodrigo F. O. Pena , Vinicius Lima , Renan O. Shimoura , João P. Novato , Antonio C. Roque

We investigate a probabilistic model for routeing in a multihop ad-hoc communication network, where each user sends a message to the base station. Messages travel in hops via other users, used as relays. Their trajectories are chosen at…

Optimization and Control · Mathematics 2019-02-18 Wolfgang König , András Tóbiás

Assortative mixing in networks is the tendency for nodes with the same attributes, or metadata, to link to each other. It is a property often found in social networks manifesting as a higher tendency of links occurring between people with…

Social and Information Networks · Computer Science 2018-04-19 Leto Peel , Jean-Charles Delvenne , Renaud Lambiotte

The effective use of limited resources for controlling spreading processes on networks is of prime significance in diverse contexts, ranging from the identification of "influential spreaders" for maximizing information dissemination and…

Social and Information Networks · Computer Science 2022-06-01 Andrey Y. Lokhov , David Saad

We investigate exceedances of the process over a sufficiently high threshold. The exceedances determine the risk of hazardous events like climate catastrophes, huge insurance claims, the loss and delay in telecommunication networks. Due to…

Statistics Theory · Mathematics 2017-10-03 Natalia Markovich
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