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An important problem in wireless sensor networks is to find the minimal number of randomly deployed sensors making a network connected with a given probability. In practice sensors are often deployed one by one along a trajectory of a…

Information Theory · Computer Science 2009-10-10 V. Kurlin , L. Mihaylova

Because of the open access nature of wireless communications, wireless networks can suffer from malicious activity, such as jamming attacks, aimed at undermining the network's ability to sustain communication links and acceptable…

Computer Science and Game Theory · Computer Science 2017-11-30 Ying Liu , Andrey Garnaev , Wade Trappe

We consider a one-dimensional mono-atomic lattice with random perturbations of masses spread over a finite number of particles. Assuming Newtonian dynamics and linear nearest-neighbour interactions and allowing for a provision of pinning…

Probability · Mathematics 2024-01-30 Josselin Garnier , Basant Lal Sharma

Traffic dynamics is universally crucial in analyzing and designing almost any network. This article introduces a novel theoretical approach to analyzing network traffic dynamics. This theory's machinery is based on the notion of traffic…

Multiagent Systems · Computer Science 2024-04-05 Matin Macktoobian , Zhan Shu , Qing Zhao

Latent space models are powerful statistical tools for modeling and understanding network data. While the importance of accounting for uncertainty in network analysis has been well recognized, the current literature predominantly focuses on…

Statistics Theory · Mathematics 2025-08-15 Jinming Li , Shihao Wu , Chengyu Cui , Gongjun Xu , Ji Zhu

The question of deriving general force/flux relationships that apply out of the linear response regime is a central topic of theories for nonequilibrium statistical mechanics. This work applies an information theory perspective to compute…

Statistical Mechanics · Physics 2019-02-04 David M. Rogers

We investigate the secure connectivity of wireless sensor networks under a heterogeneous random key predistribution scheme and a heterogeneous channel model. In particular, we study a random graph formed by the intersection of an…

Information Theory · Computer Science 2017-01-05 Rashad Eletreby , Osman Yağan

We consider capacity maximization in wireless networks under adversarial interference conditions. There are n links, each consisting of a sender and a receiver, which repeatedly try to perform a successful transmission. In each time step,…

Data Structures and Algorithms · Computer Science 2013-07-24 Johannes Dams , Martin Hoefer , Thomas Kesselheim

Many networks have nodes located in physical space, with links more common between closely spaced pairs of nodes. For example, the nodes could be wireless devices and links communication channels in a wireless mesh network. We describe…

Networking and Internet Architecture · Computer Science 2019-02-14 Carl Dettmann , Orestis Georgiou , Pete Pratt

In this work we investigate time varying networks with complex dynamics at the nodes. We consider two scenarios of network change in an interval of time: first, we have the case where each link can change with probability pt, i.e. the…

Adaptation and Self-Organizing Systems · Physics 2014-04-14 Ankit Kumar , Vidit Agrawal , Sudeshna Sinha

Traffic flows in a distributed computing network require both transmission and processing, and can be interdicted by removing either communication or computation resources. We study the robustness of a distributed computing network under…

Networking and Internet Architecture · Computer Science 2021-11-29 Jianan Zhang , Hyang-Won Lee , Eytan Modiano

In multi-class communication networks, traffic surges due to one class of users can significantly degrade the performance for other classes. During these transient periods, it is thus of crucial importance to implement priority mechanisms…

Performance · Computer Science 2011-12-12 Mathieu Feuillet , Matthieu Jonckheere , Balakrishna J. Prabhu

In this paper, the problem of stability analysis of a large-scale interconnection of nonlinear systems for which the small-gain condition does not hold globally is considered. A combination of the small-gain and density propagation…

Systems and Control · Computer Science 2016-11-29 Humberto Stein Shiromoto , Petro Feketa , Sergey Dashkovskiy

We consider the following basic link capacity (a.k.a., one-shot scheduling) problem in wireless networks: Given a set of communication links, find a maximum subset of links that can successfully transmit simultaneously. Good performance…

Information Theory · Computer Science 2017-06-19 Magnus M. Halldorsson , Tigran Tonoyan

We investigate equilibrium properties of small world networks, in which both connectivity and spin variables are dynamic, using replicated transfer matrices within the replica symmetric approximation. Population dynamics techniques allow us…

Disordered Systems and Neural Networks · Physics 2009-11-11 J. P. L. Hatchett , N. S. Skantzos , T. Nikoletopoulos

In order to maintain consistent quality of service, computer network engineers face the task of monitoring the traffic fluctuations on the individual links making up the network. However, due to resource constraints and limited access, it…

Applications · Statistics 2010-05-26 Joel Vaughan , Stilian A. Stoev , George Michailidis

We consider a wireless channel shared by multiple transmitter-receiver pairs. Their transmissions interfere with each other. Each transmitter-receiver pair aims to maximize its long-term average transmission rate subject to an average power…

Information Theory · Computer Science 2015-01-20 Krishna Chaitanya A , Utpal Muherji , Vinod Sharma

We consider that a transmitter covertly communicates with multiple receivers under the help of a friendly jammer. The messages intended for different receivers are transmitted in mutually orthogonal frequency bands. An adversary observes…

Information Theory · Computer Science 2021-03-03 Ke-Wen Huang , Hao Deng , Hui-Ming Wang

Entangled spin squeezed states generated via dipolar interactions in lattice models provide unique opportunities for quantum enhanced sensing and are now within reach of current experiments. A critical question in this context is which…

Quantum Physics · Physics 2024-02-27 David Wellnitz , Mikhail Mamaev , Thomas Bilitewski , Ana Maria Rey

Nodes are randomly distributed within an annulus (and then a shell) to form a point pattern of communication terminals which are linked stochastically according to the Rayleigh fading of radio-frequency data signals. We then present…

Combinatorics · Mathematics 2017-06-15 Alexander P. Kartun-Giles , Orestis Georgiou , Carl P. Dettmann
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