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We consider a continuous time Markov process on $\mathbb{N}_0$ which can be interpreted as generalized alternating birth-death process in a non-autonomous random environment. Depending on the status of the environment the process either…

Probability · Mathematics 2020-05-13 Hans Daduna

We study the behavior of epidemic routing in a delay tolerant network as a function of node density. Focusing on the probability of successful delivery to a destination within a deadline (PS), we show that PS experiences a phase transition…

Networking and Internet Architecture · Computer Science 2020-02-13 Leila Rashidi , Don Towsley , Arman Mohseni-Kabir , Ali Movaghar

This paper studies spatial capacity in a stochastic wireless ad hoc network, where multi-stage probing and data transmission are sequentially performed. We propose a novel signal-to-interference-ratio (SIR) threshold based scheduling…

Information Theory · Computer Science 2014-09-10 Yue Ling Che , Rui Zhang , Yi Gong , Lingjie Duan

We are interested in modeling some two-level population dynamics, resulting from the interplay of ecological interactions and phenotypic variation of individuals (or hosts) and the evolution of cells (or parasites) of two types living in…

Probability · Mathematics 2011-01-21 Sylvie Méléard , Sylvie Roelly

We analyze a class of Signal-to-Interference-and-Noise-Ratio (SINR) random graphs. These random graphs arise in the modeling packet transmissions in wireless networks. In contrast to previous studies on the SINR graphs, we consider both a…

Probability · Mathematics 2013-02-05 Francois Baccelli , Bartlomiej Blaszczyszyn , Mir Omid Haji Mirsadeghi

This paper studies a wireless networked control system with multiple base stations (BSs) cooperatively coordinating the wireless control of a number of subsystems each consisting of a plant, a sensor, and an actuator. In this system, each…

Information Theory · Computer Science 2025-01-22 Zhilin Liu , Yiyang Li , Huijun Xing , Ye Zhang , Jie Xu , Shuguang Cui

We study coarse pattern formation in a cellular automaton modelling a spatially-extended stochastic neural network. The model, originally proposed by Gong and Robinson [36], is known to support stationary and travelling bumps of localised…

Pattern Formation and Solitons · Physics 2016-10-10 Daniele Avitabile , Kyle Wedgwood

The dynamics of populations is frequently subject to intrinsic noise. At the same time unknown interaction networks or rate constants can present quenched uncertainty. Existing approaches often involve repeated sampling of the quenched…

Populations and Evolution · Quantitative Biology 2016-06-14 Tobias Galla

This paper considers the uplink pilot overhead in a time division duplexing (TDD) massive Multiple Input Multiple Output (MIMO) mobile systems. A common scenario of conventional massive MIMO systems is a Base Station (BS) serving all user…

Information Theory · Computer Science 2017-11-15 Ahmad Abboud , Oussama Habachi , Ali Jaber , Jean-Pierre Cances , Vahid Meghdadi

We consider random-access networks with nodes representing transmitter-receiver pairs whose signals interfere with each other depending on their vicinity. Data packets arrive at the nodes over time and form queues. The nodes can be either…

Probability · Mathematics 2022-05-04 Matteo Sfragara

In this paper, a multi-frequency multi-link three-dimensional (3D) non-stationary wideband multiple-input multiple-output (MIMO) channel model is proposed. The spatial consistency and multi-frequency correlation are considered in parameters…

Information Theory · Computer Science 2020-12-04 Li Zhang , Xinyue Chen , Zihao Zhou , Cheng-Xiang Wang , Chun Pan , Yungui Wang

This paper presents a network layer model for a wireless multiple access system with both persistent and non-persistent users. There is a single access point with multiple identical channels. Each user who wants to send a file first scans a…

Networking and Internet Architecture · Computer Science 2019-09-24 Michael J. Neely

We derive a large deviation principle for the space-time evolution of users in a relay network that are unable to connect due to capacity constraints. The users are distributed according to a Poisson point process with increasing intensity…

Probability · Mathematics 2017-12-12 Christian Hirsch , Benedikt Jahnel

We study the Gaussian multiple access channel with random user activity, in the regime where the number of users is proportional to the code length. The receiver may know some statistics about the number of active users, but does not know…

Information Theory · Computer Science 2025-10-21 Xiaoqi Liu , Pablo Pascual Cobo , Ramji Venkataramanan

The use of spectral proper orthogonal decomposition (SPOD) to construct low-order models for broadband turbulent flows is explored. The choice of SPOD modes as basis vectors is motivated by their optimality and space-time coherence…

Fluid Dynamics · Physics 2021-09-22 Tianyi Chu , Oliver T. Schmidt

We consider a heterogeneous queueing system consisting of one large pool of $O(r)$ identical servers, where $r\to\infty$ is the scaling parameter. The arriving customers belong to one of several classes which determines the service times in…

Probability · Mathematics 2011-05-04 David Gamarnik , Alexander Stolyar

In this paper, a novel social network-aware user association in wireless small cell networks with underlaid device-to-device (D2D) communication is investigated. The proposed approach exploits social strategic relationships between user…

Networking and Internet Architecture · Computer Science 2016-12-30 Muhammad Ikram Ashraf , Mehdi Bennis , Walid Saad , Marcos Katz , Choong-Seong Hong

We consider a broad class of continuous-time two-type population size-dependent Markov Branching Processes. The offspring distribution can depend on the current (alive) and total (dead and alive) populations. Using stochastic approximation…

Probability · Mathematics 2023-04-04 Khushboo Agarwal , Veeraruna Kavitha

In this article, we investigate the transient behavior of a sequence of packets/bits traversing a multi-hop wireless network. Our work is motivated by novel applications from the domain of process automation, Machine-Type Communication…

Networking and Internet Architecture · Computer Science 2018-06-12 Jaya Prakash Champati , Hussein Al-Zubaidy , James Gross

Spatial birth-and-death processes with a finite number of particles are obtained as unique solutions to certain stochastic equations. Conditions are given for existence and uniqueness of such solutions, as well as for continuous dependence…

Probability · Mathematics 2015-02-25 Viktor Bezborodov