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The dynamics of diffusion in complex networks are widely studied to understand how entities, such as information, diseases, or behaviors, spread in an interconnected environment. Complex networks often present community structure, and tools…

Physics and Society · Physics 2025-12-09 Alina Dubovskaya , Caroline B. Pena , David J. P. O'Sullivan

Modern radio communication is faced with a problem about how to distribute restricted frequency to users in a certain space. Since our task is to minimize the number of repeaters, a natural idea is enlarging coverage area. However, coverage…

Networking and Internet Architecture · Computer Science 2011-12-08 Yi Bao , Chao Wang , Ming Chen

This paper presents a statistical modeling approach of the real-life user-induced randomness due to mobile phone orientations for different phone usage types. As well-known, the radiated performance of a wireless device depends on its…

Signal Processing · Electrical Eng. & Systems 2018-04-24 Andrés Alayón Glazunov , Per Hjalmar Lehne

Heterogeneous cellular networks (HCN) with embedded small cells are considered, where multiple mobile users wish to download network content of different popularity. By caching data into the small-cell base stations (SBS), we will design…

Signal Processing · Electrical Eng. & Systems 2020-03-30 Jun Li , Youjia Chen , Zihuai Lin , Wen Chen , Branka Vucetic , Lajos Hanzo

Network capacity expansion is a critical challenge for telecom operators, requiring strategic placement of new cell sites to ensure optimal coverage and performance. Traditional approaches, such as manual drive tests and static…

Networking and Internet Architecture · Computer Science 2025-07-29 Sowmiyan Morri , Joy Bose , L Raghunatha Reddy , Sai Hareesh Anamandra

In this paper homogenization of a mathematical model for biomechanics of a plant tissue with randomly distributed cells is considered. Mechanical properties of a plant tissue are modelled by a strongly coupled system of…

Analysis of PDEs · Mathematics 2020-10-28 Andrey Piatnitski , Mariya Ptashnyk

In this work, we propose and analyze a class of distributed algorithms performing the joint optimization of radio resources in heterogeneous cellular networks made of a juxtaposition of macro and small cells. Within this context, it is…

Optimization and Control · Mathematics 2013-07-30 Chung Shue Chen , Francois Baccelli

In what ways could cellular massive MIMO be improved? This technology has already been shown to bring huge performance gains. However, coverage holes and difficulties to transmit multiple streams to multi-antenna users because of…

Signal Processing · Electrical Eng. & Systems 2025-01-08 Sara Willhammar , Hiroki Iimori , Joao Vieira , Lars Sundström , Fredrik Tufvesson , Erik G. Larsson

Based on the distinguishing features of multi-tier millimeter wave (mmWave) networks such as different transmit powers, different directivity gains from directional beamforming alignment and path loss laws for line-of-sight (LOS) and…

Information Theory · Computer Science 2018-01-09 Siqing Xiong , Lijun Wang , Kyung Sup Kwak , Zhiquan Bai , Jiang Wang , Qiang Li , Tao Han

For the first time the phenomenon of cellular structure coarsening are consistently analysed from the positions of kinetic, hydrodynamic and stochastodynamic theories of nonequilibrium statistical systems. Thereby micro-, meso- and…

Condensed Matter · Physics 2015-06-25 S. B. Goryachev

We present and analyse a model for cell signalling processes in biological tissues. The model includes diffusion and nonlinear reactions on the cell surfaces, and both inter- and intracellular signalling. Using techniques from the theory of…

Analysis of PDEs · Mathematics 2020-03-12 Mariya Ptashnyk , Chandrasekhar Venkataraman

How would a cellular network designed for high energy efficiency look like? To answer this fundamental question, we model cellular networks using stochastic geometry and optimize the energy efficiency with respect to the density of base…

Information Theory · Computer Science 2015-06-04 Emil Björnson , Luca Sanguinetti , Marios Kountouris

Device-to-device (D2D) communication enables us to spread information in the local area without infrastructure support. In this paper, we focus on information spreading in mobile wireless networks where all nodes move around. The source…

Networking and Internet Architecture · Computer Science 2014-06-04 Jinho Choi , Seung Min Yu , Seong-Lyun Kim

We propose a probabilistic cellular automata model for the spread of innovations, rumors, news, etc. in a social system. The local rule used in the model is outertotalistic, and the range of interaction can vary. When the range R of the…

adap-org · Physics 2008-02-03 Henryk Fuks , Nino Boccara

In this paper, we introduce a mathematical framework for analyzing and optimizing multi-operator cellular networks that are allowed to share spectrum licenses and infrastructure elements. The proposed approach exploits stochastic geometry…

Information Theory · Computer Science 2016-08-23 Shanshan Wang , Konstantinos Samdanis , Xavier Costa Perez , Marco Di Renzo

This paper proposes a coverage-oriented femtocell network deployment scheme, in which the femtocell base stations (BSs) can decide whether to be active or inactive depending on their distances from the macrocell BSs. Specifically, as the…

Information Theory · Computer Science 2013-05-16 He Wang , Xiangyun Zhou , Mark C. Reed

Optimizing the cellular network's cell locations is one of the most fundamental problems of network design. The general objective is to provide the desired Quality-of-Service (QoS) with the minimum system cost. In order to meet a growing…

Networking and Internet Architecture · Computer Science 2013-07-23 Weisi Guo , Siyi Wang , Xiaoli Chu , Jiming Chen , Hui Song , Jie Zhang

Nowadays, multiscale modelling is recognized as the most suitable way to study biological processes. Indeed, almost every phenomenon in nature exhibits a multiscale behaviour, i.e., it is the outcome of interactions that occur at different…

Formal Languages and Automata Theory · Computer Science 2011-08-18 Federico Buti , Massimo Callisto De Donato , Flavio Corradini , Emanuela Merelli , Luca Tesei

Using unmanned aerial vehicles (UAVs) to enhance network coverage has proven a variety of benefits compared to terrestrial counterparts. One of the commonly used mathematical tools to model the locations of the UAVs is stochastic geometry…

Networking and Internet Architecture · Computer Science 2023-01-04 Ruibo Wang , Mustafa A. Kishk , Mohamed-Slim Alouini

The performance of cellular system significantly depends on its network topology, where the spatial deployment of base stations (BSs) plays a key role in the downlink scenario. Moreover, cellular networks are undergoing a heterogeneous…

Networking and Internet Architecture · Computer Science 2014-11-11 Yifan Zhou , Zhifeng Zhao , Qianlan Ying , Rongpeng Li , Xuan Zhou , Xianfu Chen , Honggang Zhang
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