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In this work, we introduce a new methodology for inferring the interaction structure of discrete valued time series which are Poisson distributed. While most related methods are premised on continuous state stochastic processes, in fact,…

Methodology · Statistics 2021-08-12 Jeremie Fish , Jie Sun , Erik Bollt

The functional significance of correlations between action potentials of neurons is still a matter of vivid debates. In particular it is presently unclear how much synchrony is caused by afferent synchronized events and how much is…

Neurons and Cognition · Quantitative Biology 2013-04-09 Matthias Schultze-Kraft , Markus Diesmann , Sonja Grün , Moritz Helias

Coordinated precoding based on interference alignment is a promising technique for improving the throughputs in future wireless multicell networks. In small networks, all base stations can typically jointly coordinate their precoding. In…

Information Theory · Computer Science 2016-04-20 Rasmus Brandt , Rami Mochaourab , Mats Bengtsson

A deep understanding of the queuing performance of wireless networks is essential for the advancement of future wireless communications. The stochastic nature of wireless channels in general gives rise to a time varying transmission rate.…

Networking and Internet Architecture · Computer Science 2016-04-05 Sebastian Schiessl , Farshad Naghibi , Hussein Al-Zubaidy , Markus Fidler , James Gross

The effects of cluster correlations have been studied in the $^{12}$C + $^{12}$C reaction at 50 MeV/nucleon, using three AMD models, the AMD (AMD/D) without any additional cluster correlations, AMD/D-COALS with nucleon correlations based on…

Nuclear Theory · Physics 2020-11-20 R. Han , Z. Chen , R. Wada , A. Ono , G. Tian , F. Shi , X. Zhang , B. Liu , H. Sun

The question of how clustering (non-zero density of triangles) in networks affects their bond percolation threshold has important applications in a variety of disciplines. Recent advances in modelling highly-clustered networks are employed…

Statistical Mechanics · Physics 2013-06-06 James P. Gleeson , Sergey Melnik , Adam Hackett

We study the impact of interaction of nodes in a layer of a multiplex network on the dynamical behavior and cluster synchronization of these nodes in other layers. We find that nodes interactions in one layer affects the cluster…

Chaotic Dynamics · Physics 2014-12-18 Sarika Jalan , Aradhana Singh

We consider experimentation in the presence of non-stationarity, inter-unit (spatial) interference, and carry-over effects (temporal interference), where we wish to estimate the global average treatment effect (GATE), the difference between…

Statistics Theory · Mathematics 2025-03-28 Su Jia , Nathan Kallus , Christina Lee Yu

This paper studies growth, percolation, and correlations in disordered fiber networks. We start by introducing a 2D continuum deposition model with effective fiber-fiber interactions represented by a parameter $p$ which controls the degree…

Statistical Mechanics · Physics 2009-10-28 N. Provatas , M. Haataja , E. Seppälä , S. Majaniemi , J. Åström , M. Alava , T. Ala-Nissila

In this chapter we review some examples, methods, and recent results involving comparison of clustering properties of point processes. Our approach is founded on some basic observations allowing us to consider void probabilities and moment…

Probability · Mathematics 2014-05-23 Bartłomiej Błaszczyszyn , D. Yogeshwaran

When real networks are considered, coupled networks with connectivity and feedback-dependency links are not rare but more general. Here we develop a mathematical framework and study numerically and analytically percolation of interacting…

Physics and Society · Physics 2013-10-08 Gaogao Dong , Lixin Tian , Ruijin Du , Min Fu , H. Eugene Stanley

The interference in wireless networks is temporally correlated, since the node or user locations are correlated over time and the interfering transmitters are a subset of these nodes. For a wireless network where (potential) interferers…

Information Theory · Computer Science 2013-09-12 Martin Haenggi , Roxana Smarandache

Densification of access points (APs) in wireless local area networks (WLANs) increases the interference and the contention domains of each AP due to multiple overlapped basic service sets (BSSs). Consequently, high interference from…

Networking and Internet Architecture · Computer Science 2016-08-19 Phillip B. Oni , Steven D. Blostein

Many networked systems are governed by non-pairwise interactions between nodes. The resulting higher-order interaction structure can then be encoded by means of a hypernetwork. In this paper we consider dynamical systems on hypernetworks by…

Dynamical Systems · Mathematics 2023-08-11 Sören von der Gracht , Eddie Nijholt , Bob Rink

Clustering is typically measured by the ratio of triangles to all triples, open or closed. Generating clustered networks, and how clustering affects dynamics on networks, is reasonably well understood for certain classes of networks…

Physics and Society · Physics 2014-10-22 Martin Ritchie , Luc Berthouze , Thomas House , Istvan Z. Kiss

Compared with conventional regular hexagonal cellular models, random cellular network models resemble real cellular networks much more closely. However, most studies of random cellular networks are based on the Poisson point process and do…

Networking and Internet Architecture · Computer Science 2017-11-01 Xiaohu Ge , Bangzheng Du , Qiang Li , Diomidis S. Michalopoulos

Interference alignment (IA) is a promising technique for interference mitigation in multicell networks due to its ability to completely cancel the intercell interference through linear precoding and receive filtering. In small networks, the…

Information Theory · Computer Science 2016-02-26 Rasmus Brandt , Rami Mochaourab , Mats Bengtsson

A novel non-parametric estimator of the correlation between grouped measurements of a quantity is proposed in the presence of noise. This work is primarily motivated by functional brain network construction from fMRI data, where brain…

Methodology · Statistics 2023-02-16 Hanâ Lbath , Alexander Petersen , Wendy Meiring , Sophie Achard

The shape of two-dimensional invasion percolation clusters are studied numerically for both non-trapping (NTIP) and trapping (TIP) invasion percolation processes. Two different anisotropy quantifiers, the anisotropy parameter and the…

Statistical Mechanics · Physics 2009-11-13 Fatemeh Ebrahimi

The capacity of a network in which a multiple access channel (MAC) generates interference to a single-user channel is studied. An achievable rate region based on superposition coding and joint decoding is established for the discrete case.…

Information Theory · Computer Science 2012-09-06 Fangfang Zhu , Xiaohu Shang , Biao Chen , H. Vincent Poor