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We investigate stochastic models of particles entering a channel with a random time distribution. When the number of particles present in the channel exceeds a critical value $N$, a blockage occurs and the particle flux is definitively…

Statistical Mechanics · Physics 2015-10-07 C. Barré , J. Talbot , P. Viot L. Angelani , A. Gabrielli

We study a Bayesian persuasion setting in which a sender wants to persuade a critical mass of receivers by revealing partial information about the state to them. The homogeneous binary-action receivers are located on a communication…

Computer Science and Game Theory · Computer Science 2025-09-12 Toygar T. Kerman , Anastas P. Tenev , Konstantin Zabarnyi

The result provided in this paper helps complete a unified picture of the scaling behavior in heavy-tailed stochastic models for transmission of packet traffic on high-speed communication links. Popular models include infinite source…

Probability · Mathematics 2010-08-17 Clément Dombry , Ingemar Kaj

We study the problem of optimizing the decisions of a preemptively capable transmitter to minimize the Age of Incorrect Information (AoII) when the communication channel has a random delay. We consider a slotted-time system where a…

Information Theory · Computer Science 2023-02-21 Yutao Chen , Anthony Ephremides

We consider power control in cognitive radio networks where secondary users identify and exploit instantaneous and local spectrum opportunities without causing unacceptable interference to primary users. We qualitatively characterize the…

Networking and Internet Architecture · Computer Science 2009-03-17 Wei Ren , Qing Zhao , Ananthram Swami

We introduce conferencing-based distributed channel quantizers for two-user interference networks where interference signals are treated as noise. Compared with the conventional distributed quantizers where each receiver quantizes its own…

Information Theory · Computer Science 2014-04-01 Xiaoyi Leo Liu , Erdem Koyuncu , Hamid Jafarkhani

We consider an open quantum system undergoing Markovian dynamics, the latter being modelled by a discrete-time quantum Markov semigroup $(\Phi^n)_{n \in {\mathbb{N}}}$, resulting from the action of sequential uses of a quantum channel…

Quantum Physics · Physics 2024-10-24 Satvik Singh , Nilanjana Datta

The Poisson distribution is the probability distribution of the number of independent events in a given period of time. Although the Poisson distribution appears ubiquitously in various stochastic dynamics of gene expression, both as…

Statistical Mechanics · Physics 2024-10-02 Julian Lee

We model biochemical signal transduction, based on a ligand-receptor binding mechanism, as a discrete-time finite-state Markov channel, which we call the BIND channel. We show how to obtain the capacity of this channel, for the case of…

Molecular Networks · Quantitative Biology 2016-11-15 Peter J. Thomas , Andrew W. Eckford

Molecular communication (MC) enables information exchange at the nano- and microscale, with applications in areas like drug delivery and health monitoring. These event-driven scenarios often require alternatives to traditional transmission.…

Information Theory · Computer Science 2025-06-18 Yaning Zhao , Luca Miszewski , Christian Deppe , Massimiliano Pierobon

Inner and outer bounds are established on the capacity region of two-sender, two-receiver interference channels where one transmitter knows both messages. The transmitter with extra knowledge is referred to as being cognitive. The inner…

Information Theory · Computer Science 2007-10-22 I. Maric , A. Goldsmith , G. Kramer , S. Shamai

This paper addresses an interference channel consisting of $\mathbf{n}$ active users sharing $u$ frequency sub-bands. Users are asynchronous meaning there exists a mutual delay between their transmitted codes. A stationary model for…

Information Theory · Computer Science 2010-06-17 Kamyar Moshksar , Amir K. Khandani

Offloading of cellular traffic through a wireless local area network (WLAN) is theoretically evaluated. First, empirical data sets of the locations of WLAN internet access points are analyzed and an inhomogeneous Poisson process consisting…

Performance · Computer Science 2014-03-12 Hiroshi Saito , Ryoichi Kawahara

We study the performance of wireless links for a class of Poisson networks, in which packets arrive at the transmitters following Bernoulli processes. By combining stochastic geometry with queueing theory, two fundamental measures are…

Information Theory · Computer Science 2020-07-22 Howard H. Yang , Tony Q. S. Quek , H. Vincent Poor

Cells integrate signals and make decisions about their future state in short amounts of time. A lot of theoretical effort has gone into asking how to best design gene regulatory circuits that fulfill a given function, yet little is known…

Molecular Networks · Quantitative Biology 2025-10-08 Tarek Tohme , Massimo Vergassola , Thierry Mora , Aleksandra M. Walczak

Fundamental relations between information and estimation have been established in the literature for the continuous-time Gaussian and Poisson channels, in a long line of work starting from the classical representation theorems by Duncan and…

Information Theory · Computer Science 2017-04-19 Jiantao Jiao , Kartik Venkat , Tsachy Weissman

We consider a new formulation of a class of synchronization error channels and derive analytical bounds and numerical estimates for the capacity of these channels. For the binary channel with only deletions, we obtain an expression for the…

Information Theory · Computer Science 2016-11-17 Aravind R. Iyengar , Paul H. Siegel , Jack K. Wolf

We develop a systematic approach, based on convex programming and real analysis, for obtaining upper bounds on the capacity of the binary deletion channel and, more generally, channels with i.i.d. insertions and deletions. Other than the…

Information Theory · Computer Science 2018-06-12 Mahdi Cheraghchi

We study the throughput-vs-delay trade-off in an overlay multi-channel single-secondary-user cognitive radio system. Due to the limited sensing capabilities of the cognitive radio user, channels are sensed sequentially. Maximizing the…

Information Theory · Computer Science 2016-12-28 Ahmed Ewaisha , Cihan Tepedelenlioglu

In substations, the presence of random transient impulsive interference sources makes noise highly non-Gaussian. In this paper, the primary interest is to provide a general model for wireless channel in presence of these transient impulsive…

Methodology · Statistics 2015-04-28 Minh Au , Basile L. Agba , François Gagnon
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