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We examine deterministic broadcasting on multiple-access channels for a scenario when packets are injected continuously by an adversary to the buffers of the devices at rate $\rho$ packages per round. The aim is to maintain system…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-19 Elijah Hradovich , Marek Klonowski , Dariusz R. Kowalski

We prove a central limit theorem for network formation models with strategic interactions and homophilous agents. Since data often consists of observations on a single large network, we consider an asymptotic framework in which the network…

Econometrics · Economics 2026-03-11 Michael P. Leung , Hyungsik Roger Moon

We consider a multihop wireless system. There are multiple source-destination pairs. The data from a source may have to pass through multiple nodes. We obtain a channel scheduling policy which can guarantee end-to-end mean delay for the…

Networking and Internet Architecture · Computer Science 2018-11-27 Ashok Krishnan K. S. , Vinod Sharma

We consider weakly interacting jump processes on time-varying random graphs with dynamically changing multi-color edges. The system consists of a large number of nodes in which the node dynamics depends on the joint empirical distribution…

Probability · Mathematics 2021-07-19 Erhan Bayraktar , Ruoyu Wu

Mean-field control (MFC) offers a scalable solution to the curse of dimensionality in multi-agent systems but traditionally hinges on the restrictive assumption of exchangeability via dense, all-to-all interactions. In this work, we bridge…

Multiagent Systems · Computer Science 2026-01-30 Tobias Schmidt , Kai Cui

Despite the rich literature on scheduling algorithms for wireless networks, algorithms that can provide deadline guarantees on packet delivery for general traffic and interference models are very limited. In this paper, we study the problem…

Networking and Internet Architecture · Computer Science 2021-01-14 Christos Tsanikidis , Javad Ghaderi

We consider an interacting system of one-dimensional structures modelling fibers with fiber-fiber interaction in a fiber lay-down process. The resulting microscopic system is investigated by looking at different asymptotic limits of the…

Dynamical Systems · Mathematics 2017-10-06 Raul Borsche , Axel Klar , Christian Nessler , Andreas Roth , Oliver Tse

Large-scale systems with inherent heterogeneity often exhibit complex dynamics that are crucial for their functional properties. However, understanding how such heterogeneity shapes these dynamics remains a significant challenge,…

Chaotic Dynamics · Physics 2024-12-16 Futa Tomita , Jun-nosuke Teramae

In this paper we consider a stochastic model for a frequency-agile CSMA protocol for wireless networks where multiple orthogonal frequency channels are available. Even when the possible interference on the different channels is described by…

Probability · Mathematics 2018-08-13 Alessandro Zocca

Throughput and energy efficiency in fading channels are studied in the presence of randomly arriving data and statistical queueing constraints. In particular, Markovian arrival models including discrete-time Markov, Markov fluid, and…

Information Theory · Computer Science 2015-09-15 Mustafa Ozmen , M. Cenk Gursoy

In this paper, wireless systems operating under queueing constraints in the form of limitations on the buffer violation probabilities are considered. The throughput under such constraints is captured by the effective capacity formulation.…

Information Theory · Computer Science 2010-09-16 Mustafa Cenk Gursoy

Admission control can be employed to avoid congestion in queueing networks subject to overload. In distributed networks the admission decisions are often based on imperfect measurements on the network state. This paper studies how the lack…

Probability · Mathematics 2007-08-22 Lasse Leskelä

The tremendous capacity gains promised by space division multiple access (SDMA) depend critically on the accuracy of the transmit channel state information. In the broadcast channel, even without any network interference, it is known that…

Information Theory · Computer Science 2016-11-17 Marios Kountouris , Jeffrey G. Andrews

For wireless systems in which randomly arriving devices attempt to transmit a fixed payload to a central receiver, we develop a framework to characterize the system throughput as a function of arrival rate and per-user data rate. The…

Information Theory · Computer Science 2013-10-04 Harpreet S. Dhillon , Howard C. Huang , Harish Viswanathan , Reinaldo A. Valenzuela

We consider dense wireless random-access networks, modeled as systems of particles with hard-core interaction. The particles represent the network users that try to become active after an exponential back-off time, and stay active for an…

Probability · Mathematics 2014-03-14 Alessandro Zocca , Sem C. Borst , Johan S. H. van Leeuwaarden

We investigate mean-field games (MFG) in which agents can actively control their speed of access to information. Specifically, the agents can dynamically decide to obtain observations with reduced delay by accepting higher observation…

Optimization and Control · Mathematics 2025-06-03 Dirk Becherer , Christoph Reisinger , Jonathan Tam

An asymptotic technique is presented to characterize the bits/symbol achievable on a representative wireless link in a spatially distributed network with active interferers at correlated positions, N receive diversity branches, and linear…

Information Theory · Computer Science 2013-12-30 Siddhartan Govindasamy

We study the dynamics of randomly connected networks composed of binary Boolean elements and those composed of binary majority vote elements. We elucidate their differences in both sparsely and densely connected cases. The quickness of…

Disordered Systems and Neural Networks · Physics 2013-03-06 Shun-ichi Amari , Hiroyasu Ando , Taro Toyoizumi , Naoki Masuda

Many real networks present a bounded scale-free behavior with a connectivity cut-off due to physical constraints or a finite network size. We study epidemic dynamics in bounded scale-free networks with soft and hard connectivity cut-offs.…

Statistical Mechanics · Physics 2009-11-07 Romualdo Pastor-Satorras , Alessandro Vespignani

We consider the slight variation of the adversarial queuing theory model, in which an adversary injects packets with routes into the network subject to the following constraint: For any link $e$, the total number of packets injected in any…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-07-14 Avery Miller , Boaz Patt-Shamir