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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…

Statistical Mechanics · Physics 2009-11-07 Stefano Mossa , Marc Barthelemy , H. Eugene Stanley , Luis A. Nunes Amaral

In this paper we consider a single-server, cyclic polling system with switch-over times. A distinguishing feature of the model is that the rates of the Poisson arrival processes at the various queues depend on the server location. For this…

Probability · Mathematics 2014-08-04 Marko Boon , Sandra van Wijk , Ivo Adan , Onno Boxma

The majority of electronic communication today happens either via email or chat. Thanks to the use of standardised protocols electronic mail (SMTP, IMAP, POP3) and instant chat (XMPP, IRC) servers can be deployed in a decentralised but…

Cryptography and Security · Computer Science 2016-01-26 Ralph Holz , Johanna Amann , Olivier Mehani , Matthias Wachs , Mohamed Ali Kaafar

We show that for any Cayley graph, the probability (at any $p$) that the cluster of the origin has size n decays at a well-defined exponential rate (possibly 0). For general graphs, we relate this rate being positive in the supercritical…

Probability · Mathematics 2008-05-26 Antar Bandyopadhyay , Jeffrey Steif , Adam Timar

The digital revolution has transformed the exchange of information between people, blurring the traditional roles of sources and recipients. In this study, we explore the influence of this bidirectional feedback using a publicly available…

Physics and Society · Physics 2023-12-21 Sebastián Pinto , Alejandro Pardo Pintos , Pablo Balenzuela , Marcos Trevisan

We study the evolution of domain wall networks appearing after phase transitions in the early Universe. They exhibit interesting dynamical scaling behaviour which is not yet well understood, and are also simple models for the more…

High Energy Physics - Phenomenology · Physics 2009-11-07 Theodore Garagounis , Mark Hindmarsh

We measure the influence of different time-scales on the dynamics of financial market data. This is obtained by decomposing financial time series into simple oscillations associated with distinct time-scales. We propose two new time-varying…

Statistical Finance · Quantitative Finance 2016-11-23 Noemi Nava , Tiziana Di Matteo , Tomaso Aste

Recent studies on the phenomenology of ageing in certain many-particle systems which are at a critical point of their non-equilibrium steady-states, are reviewed. Examples include the contact process, the parity-conserving…

Statistical Mechanics · Physics 2007-05-23 Malte Henkel

We study the site-bond percolation on a hierarchical scale-free network, namely, the decorated (2,2)-flower, by using the renormalization group technique. The phase diagram essentially depends on the fraction of occupied sites.…

Disordered Systems and Neural Networks · Physics 2012-01-11 Takehisa Hasegawa , Masataka Sato , Koji Nemoto

We consider the following distributed service model: jobs with unit mean, exponentially distributed, and independent processing times arrive as a Poisson process of rate $\lambda n$, with $0<\lambda<1$, and are immediately dispatched by a…

Probability · Mathematics 2017-09-14 David Gamarnik , John N. Tsitsiklis , Martin Zubeldia

We investigate the waiting-time distribution of the absolute return in the Korean stock-market index KOSPI. We define the waiting time as a time interval during which the normalized absolute return remains continuously below a threshold…

Physics and Society · Physics 2008-12-02 Jae Woo Lee , Kyoung Eun Lee , Per Arne Rikvold

A random network is grown by introducing at unit rate randomly selected nodes on the Euclidean space. A node is randomly connected to its $i$-th predecessor of degree $k_i$ with a directed link of length $\ell$ using a probability…

Statistical Mechanics · Physics 2009-11-07 S. S. Manna , Parongama Sen

We study different mechanisms of gossip propagation on several network topologies and introduce a new network property, the "spread factor", describing the fraction of neighbors that get to know the gossip. We postulate that for scale-free…

Disordered Systems and Neural Networks · Physics 2013-01-01 Pedro G. Lind , Luciano R. da Silva , José S. Andrade , Hans J. Herrmann

We study the critical behavior of Boolean variables on scale-free networks with competing interactions (Ising spin glasses). Our analytical results for the disorder-network-decay-exponent phase diagram are verified using Monte Carlo…

Disordered Systems and Neural Networks · Physics 2012-09-17 Helmut G. Katzgraber , Katharina Janzen , Creighton K. Thomas

A local-area and energy-efficient (LAEE) evolution model for wireless sensor networks is proposed. The process of topology evolution is divided into two phases. In the first phase, nodes are distributed randomly in a fixed region. In the…

Networking and Internet Architecture · Computer Science 2014-05-15 Lurong Jiang , Xinyu Jin , Yongxiang Xia , Bo Ouyang , Duanpo Wu , Xi Chen

This paper reports on stable (or invariant) properties of human interaction networks, with benchmarks derived from public email lists. Activity, recognized through messages sent, along time and topology were observed in snapshots in a…

Social and Information Networks · Computer Science 2017-10-31 Renato Fabbri , Ricardo Fabbri , Deborah C. Antunes , Marilia M. Pisani , Osvaldo N. Oliveira

Scale invariance usually occurs in extended systems where correlation functions decay algebraically in space and/or time. Here we introduce a new type of scale invariance, occurring in the distribution functions of physical observables. At…

Quantum Physics · Physics 2018-09-19 Emanuele G. Dalla Torre

We investigate the delocalization transition appearing in an exclusion process with two internal states resp. on two parallel lanes. At the transition, delocalized domain walls form in the density profiles of both internal states, in…

Statistical Mechanics · Physics 2008-08-31 Tobias Reichenbach , Thomas Franosch , Erwin Frey

We study the spectral properties of a diffusion process taking place on the Internet network focusing on the slowest decaying modes. These modes allow us to identify an underlying modular structure of the Internet roughly corresponding to…

Statistical Mechanics · Physics 2010-05-04 Kasper Astrup Eriksen , Ingve Simonsen , Sergei Maslov , Kim Sneppen

Meeting time is defined as the time for which two orbits approach each other within distance $\epsilon$ in phase space. We show that the distribution of the meeting time is exponential in $(p_1,...,p_k)$-Bernoulli systems. In the limit of…

Chaotic Dynamics · Physics 2011-09-07 A. Akaishi , M. Hirata , K. Yamamoto , A. Shudo
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