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We investigate the effect of unidirectional regular and random couplings of units in a network on stochastic resonance. For simplicity we choose the units as Bellows map with bistability. In a regular network we apply a weak periodic signal…

Chaotic Dynamics · Physics 2014-04-23 S. Rajamani , S. Rajasekar

This paper describes a low-complexity approach for reconstructing average packet arrival rates and instantaneous packet counts at a router in a communication network, where the arrivals of packets in each flow follow a Poisson process.…

Information Theory · Computer Science 2010-03-16 Maxim Raginsky , Sina Jafarpour , Rebecca Willett , Robert Calderbank

This work is devoted to the problem of estimation of the localization of Poisson source. The observations are inhomogeneous Poisson processes registered by the $k\geq 3$ detectors on the plane. We study the behavior of the Bayes estimators…

Statistics Theory · Mathematics 2018-06-20 O. V. Chernoyarov , S. Dachian , Yu. A. Kutoyants

Inhomogeneities and junctions in wires are natural sources of scattering, and hence resistance. A conducting fixed point usually requires an adiabatically smooth system. One notable exception is "healing", which has been predicted in…

Strongly Correlated Electrons · Physics 2014-01-28 N. Sedlmayr , D. Morath , J. Sirker , S. Eggert , I. Affleck

One of the challenges in fighting cybercrime is to understand the dynamics of message propagation on botnets, networks of infected computers used to send viruses, unsolicited commercial emails (SPAM) or denial of service attacks. We map…

Disordered Systems and Neural Networks · Physics 2015-05-20 Tamara Mihaljev , Lucilla de Arcangelis , Hans J. Herrmann

Characterizing user to access point (AP) association strategies in heterogeneous cellular networks (HetNets) is critical for their performance analysis, as it directly influences the load across the network. In this letter, we introduce and…

Information Theory · Computer Science 2013-10-08 Sarabjot Singh , Francois Baccelli , Jeffrey G. Andrews

We analyze the performance of an interference-limited, decode-and-forward, cooperative relaying system that comprises a source, a destination, and $N$ relays, placed arbitrarily on the plane and suffering from interference by a set of…

Information Theory · Computer Science 2016-03-25 Alessandro Crismani , Udo Schilcher , Günther Brandner , Stavros Toumpis , Christian Bettstetter

In this letter, we characterize the load on the cellular macro base stations (MBSs) due to vehicular users modeled by a Poisson line Cox process (PLCP). Modeling the locations of MBSs by a homogeneous 2D Poisson point process (PPP), we…

Information Theory · Computer Science 2020-08-05 Vishnu Vardhan Chetlur , Harpreet S. Dhillon

Most studies that consider the problem of estimating the location of a point source in wireless sensor networks assume that the source location is estimated by a set of spatially distributed sensors, whose locations are fixed. Motivated by…

Information Theory · Computer Science 2016-11-18 Mohammad Fanaei , Matthew C. Valenti , Natalia A. Schmid

In this paper, we analyse the joint impact of pathloss, shadowing and fast fading on wireless networks. Taking into account the pathloss and the shadowing, we first express the SINR distribution of a mobile located at a given distance from…

Networking and Internet Architecture · Computer Science 2010-01-08 Jean-Marc Kelif , Marceau Coupechoux

Sensor networks aim at monitoring their surroundings for event detection and object tracking. But due to failure or death of sensors, false signal can be transmitted. In this paper, we consider the problem of fault detection in wireless…

Networking and Internet Architecture · Computer Science 2012-03-05 Mrinal Nandi , Amiya Nayak , Bimal Roy , Santanu Sarkar

We introduce and analyze models for the propagation of malware in pure D2D networks given via stationary Cox-Gilbert graphs. Here, the devices form a Poisson point process with random intensity measure $\lambda\Lambda$, where $\Lambda$ is…

Networking and Internet Architecture · Computer Science 2020-02-18 Alexander Hinsen , Benedikt Jahnel , Elie Cali , Jean-Philippe Wary

Considering a wireless sensor network whose nodes are distributed randomly over a given area, a probability model for the network lifetime is provided. Using this model and assuming that packet generation follows a Poisson distribution, an…

Networking and Internet Architecture · Computer Science 2007-10-02 Moslem Noori , Masoud Ardakani

We consider a dynamic network in continuum time and space in which nodes, with initial locations given by a Poisson point process, move according to i.i.d. isotropic $\alpha$-stable processes. Each node is additionally equipped with an…

Probability · Mathematics 2026-02-26 Peter Gracar , Benedikt Jahnel , Lukas Lüchtrath , Anh Duc Vu

When modeling a directed social network, one choice is to use the traditional preferential attachment model, which generates power-law tail distributions. In a traditional directed preferential attachment, every new edge is added…

Probability · Mathematics 2020-08-18 Tiandong Wang , Sidney I. Resnick

We are interested in estimating the location of what we call "smooth change-point" from $n$ independent observations of an inhomogeneous Poisson process. The smooth change-point is a transition of the intensity function of the process from…

Statistics Theory · Mathematics 2021-02-17 A. Amiri , S Dachian

Stochastic geometry is a highly studied field in telecommunications as in many other scientific fields. In the last ten years in particular, theoretical knowledge has evolved a lot, whether for the calculation of metrics to characterize…

Applications · Statistics 2024-09-10 Q. Gontier , C. Tsigros , F. Horlin , J. Wiart , C. Oestges , P. De Doncker

We study the asymptotic behavior of empirical processes generated by measurable bounded functions of an infinite source Poisson transmission process when the session length have infinite variance. In spite of the boundedness of the…

Probability · Mathematics 2012-07-11 François Roueff , Gennady Samorodnitsky , Philippe Soulier

This paper focuses on modeling and analysis of the temporal performance variations experienced by a mobile user in a wireless network and its impact on system level design. We consider a simple stochastic geometry model: the infrastructure…

Information Theory · Computer Science 2016-09-29 Pranav Madadi , François Baccelli , Gustavo de Veciana

Random geometric graphs consist of randomly distributed nodes (points), with pairs of nodes within a given mutual distance linked. In the usual model the distribution of nodes is uniform on a square, and in the limit of infinitely many…

Disordered Systems and Neural Networks · Physics 2018-09-27 Carl P. Dettmann