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The work establishes the exact performance limits of stochastic coded caching when users share a bounded number of cache states, and when the association between users and caches, is random. Under the premise that more balanced…

信息论 · 计算机科学 2021-01-12 Adeel Malik , Berksan Serbetci , Emanuele Parrinello , Petros Elia

We study an one-dimensional stochastic model of vehicular traffic on open segments of a single-lane road of finite size $L$. The vehicles obey a stochastic discrete-time dynamics which is a limiting case of the generalized Totally…

统计力学 · 物理学 2018-01-17 J. G. Brankov , N. Zh. Bunzarova , N. C. Pesheva , V. B. Priezzhev

We consider the contact process on a random graph with fixed degree distribution given by a power law. We follow the work of Chatterjee and Durrett, who showed that for arbitrarily small infection parameter $\lambda$, the survival time of…

概率论 · 数学 2012-12-10 Thomas Mountford , Daniel Valesin , Qiang Yao

In this work we propose a two-dimensional extension of a previously defined one-dimensional version of a model of counterflowing particles, which considers an adapted Fermi-Dirac distribution to describe the transition probabilities. In…

软凝聚态物质 · 物理学 2020-09-02 E. V. Stock , R. da Silva

The stable operation of the electric power grid relies on a precisely synchronized state of all generators and machines. All machines rotate at exactly the same frequency with fixed phase differences, leading to steady power flows…

适应与自组织系统 · 物理学 2020-01-09 Chiara Balestra , Franz Kaiser , Debsankha Manik , Dirk Witthaut

We consider a periodic quantum graph in the form of a rectangular lattice with the $\delta$-coupling of strength $\gamma$ in the vertices perturbed by changing the latter at an infinite straight array of vertices to a…

谱理论 · 数学 2024-12-31 Marzieh Baradaran , Pavel Exner , Andrii Khrabustovskyi

Random walks on graphs are an essential primitive for many randomised algorithms and stochastic processes. It is natural to ask how much can be gained by running $k$ multiple random walks independently and in parallel. Although the cover…

离散数学 · 计算机科学 2026-02-19 Nicolás Rivera , Thomas Sauerwald , John Sylvester

In this paper, a network comprising wireless devices equipped with buffers transmitting deadline-constrained data packets over a slotted-ALOHA random-access channel is studied. Although communication protocols facilitating retransmissions…

信息论 · 计算机科学 2022-10-07 Nikolaos Nomikos , Themistoklis Charalambous , Yvonne-Anne Pignolet , Nikolaos Pappas

We analyze transport on a graph with multiple constraints and where the weight of the edges connecting the nodes is a dynamical variable. The network dynamics results from the interplay between a nonlinear function of the flow, dissipation,…

统计力学 · 物理学 2023-11-28 Frederic Folz , Kurt Mehlhorn , Giovanna Morigi

We propose a novel random multiple access (RMA) scheme with quality of service (QoS) guarantees for machine-to-machine (M2M) communications. We consider a slotted uncoordinated data transmission period during which machine type…

信息论 · 计算机科学 2016-10-25 Rana Abbas , Mahyar Shirvanimoghaddam , Yonghui Li , Branka Vucetic

Suppose $A$ and $B$ are two stations within the mass rapid transit network of a city. Both stations see approximately the same average daily number of passengers entering and exiting their gates. However, passengers are evenly distributed…

物理与社会 · 物理学 2023-10-05 Carmen Cabrera-Arnau , Liang Wei Ng , Howard Wong , Chen Zhong

The effect of signals on stability, throughput region, and delay in a two-user slotted ALOHA based random-access system with collisions is considered. This work gives rise to the development of random access G-networks, which can model…

信息论 · 计算机科学 2019-02-08 Ioannis Dimitriou , Nikolaos Pappas

Cellular communication networks are plagued with redundant capacity, which results in low utilization and cost-effectiveness of network capital investments. The redundant capacity can be exploited to deliver secondary traffic that is…

网络与互联网体系结构 · 计算机科学 2016-12-30 Lingyu Chen , Chen Liu , Xuemin Hong , Cheng-Xiang Wang , John Thompson , Jianghong Shi

Transmission line failures in power systems propagate non-locally, making the control of the resulting outages extremely difficult. In this work, we establish a mathematical theory that characterizes the patterns of line failure propagation…

系统与控制 · 电气工程与系统科学 2021-04-27 Linqi Guo , Chen Liang , Alessandro Zocca , Steven H. Low , Adam Wierman

An Ott-Antonsen reduced $M$-population of Kuramoto-Sakaguchi oscillators is investigated, focusing on the influence of the phase-lag parameter $\alpha$ on the collective dynamics. For oscillator populations coupled on a ring, we obtained a…

适应与自组织系统 · 物理学 2025-01-07 Bojun Li , Nariya Uchida

In this paper, an outage limited MIMO channel is considered. We build on Zheng and Tse's elegant formulation of the diversity-multiplexing tradeoff to develop a better understanding of the asymptotic relationship between the probability of…

信息论 · 计算机科学 2007-07-16 Kambiz Azarian , Hesham El Gamal

We study dynamical transportation networks in a framework that includes extensions of the classical Cell Transmission Model to arbitrary network topologies. The dynamics are modeled as systems of ordinary differential equations describing…

最优化与控制 · 数学 2014-10-28 Enrico Lovisari , Giacomo Como , Anders Rantzer , Ketan Savla

In this paper we explore the evolution of transport capacity on networks with stochastic incidence of damage and accumulation of faults in their connections. For each damaged configuration of the network, we analyze a Markovian random…

物理与社会 · 物理学 2019-09-05 A. P. Riascos , J. Wang-Michelitsch , T. M. Michelitsch

The first measured results for massive multiple-input, multiple-output (MIMO) performance in a line-of-sight (LOS) scenario with moderate mobility are presented, with 8 users served by a 100 antenna base Station (BS) at 3.7 GHz. When such a…

This thesis focuses on link scheduling in wireless mesh networks by taking into account physical layer characteristics. The assumption made throughout is that a packet is received successfully only if the Signal to Interference and Noise…

网络与互联网体系结构 · 计算机科学 2008-12-31 Ashutosh Deepak Gore