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The development of mobile virtual network operators, where multiple wireless technologies (e.g. 3G and 4G) or operators with non-overlapping bandwidths are pooled and shared is expected to provide enhanced service with broader coverage,…

Information Theory · Computer Science 2016-03-23 Abishek Sankararaman , Jeong-woo Cho , Francois Baccelli

Network models are routinely downscaled compared to nature in terms of numbers of nodes or edges because of a lack of computational resources, often without explicit mention of the limitations this entails. While reliable methods have long…

Neurons and Cognition · Quantitative Biology 2016-02-17 Sacha Jennifer van Albada , Moritz Helias , Markus Diesmann

We analyze dynamic random network models where younger vertices connect to older ones with probabilities proportional to their degrees as well as a propensity kernel governed by their attribute types. Using stochastic approximation…

Probability · Mathematics 2025-10-29 Nelson Antunes , Sayan Banerjee , Shankar Bhamidi , Vladas Pipiras

To accommodate Machine-type Communication (MTC) service, the wireless network needs to support low-delay and low-jitter data transmission, realizing delay deterministic wireless network. This paper analyzes the delay and jitter of the…

Performance · Computer Science 2023-10-12 Zhiqing Wei , Ling Zhang , Gaofeng Nie , Huici Wu , Ning Zhang , Zeyang Meng , Zhiyong Feng

Cooperation in cellular networks has been recently suggested as a promising scheme to improve system performance, especially for cell-edge users. In this work, we use stochastic geometry to analyze cooperation models where the positions of…

Information Theory · Computer Science 2015-02-11 Anastasios Giovanidis , Francois Baccelli

We consider arbitrary dense wireless networks, in which $n$ nodes are placed in an arbitrary (deterministic) manner on a square region of unit area and communicate with each other over Gaussian fading channels. We provide inner and outer…

Information Theory · Computer Science 2011-08-09 Urs Niesen

In this paper, a lower bound on the capacity of wireless ad hoc erasure networks is derived in closed form in the canonical case where $n$ nodes are uniformly and independently distributed in the unit area square. The bound holds almost…

Information Theory · Computer Science 2009-01-15 Rayyan G. Jaber , Jeffrey G. Andrews

We give exact relations for certain types of the hierarchic fractal structures. In the blatant distinction from regular networks of the "small world" (SW) topology [1], regular fractal networks manifests the logarithmic dependence of the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Gregory Surdutovich , Vladimir Gol'dshtein , Gennady Koganov

We study the effects of spatial constraints on the structural properties of networks embedded in one or two dimensional space. When nodes are embedded in space, they have a well defined Euclidean distance $r$ between any pair. We assume…

Physics and Society · Physics 2009-11-13 Kosmas Kosmidis , Shlomo Havlin , Armin Bunde

It is well known that opportunistic scheduling algorithms are throughput optimal under dynamic channel and network conditions. However, these algorithms achieve a hypothetical rate region which does not take into account the overhead…

Networking and Internet Architecture · Computer Science 2019-11-12 Mehmet Karaca , Tansu Alpcan , Ozgur Ercetin

This paper describes how realistic neuromorphic networks can have their connectivity fully characterized in analytical fashion. By assuming that all neurons have the same shape and are regularly distributed along the two-dimensional…

Disordered Systems and Neural Networks · Physics 2007-05-23 Luciano da Fontoura Costa , Marconi Soares Barbosa

In this paper, we consider stable stochastic linear systems modeling whole-brain resting-state dynamics. We parametrize the state matrix of the system (effective connectivity) in terms of its steady-state covariance matrix (functional…

Systems and Control · Electrical Eng. & Systems 2023-10-12 Umberto Casti , Giacomo Baggio , Danilo Benozzo , Sandro Zampieri , Alessandra Bertoldo , Alessandro Chiuso

Simple growth mechanisms have been proposed to explain the emergence of seemingly universal network structures. The widely-studied model of preferential attachment assumes that new nodes are more likely to connect to highly connected nodes.…

Physics and Society · Physics 2016-03-09 Chung Yin Leung , Joshua S. Weitz

We propose a simple discrete stochastic model for calcium dynamics in living cells. Specifically, the calcium concentration distribution is assumed to give rise to a set of probabilities for the opening/closing of channels which release…

patt-sol · Physics 2009-10-31 Markus Baer , Martin Falcke , Herbert Levine , Lev S. Tsimring

Communications using frequency bands in the millimeter-wave range can play a key role in future generations of mobile networks. By allowing large bandwidth allocations, high carrier frequencies will provide high data rates to support the…

Networking and Internet Architecture · Computer Science 2017-05-08 Cristian Tatino , Ilaria Malanchini , Danish Aziz , Di Yuan

The problem of finding optimal set of users for influencing others in the social network has been widely studied. Because it is NP-hard, some heuristics were proposed to find sub-optimal solutions. Still, one of the commonly used assumption…

Social and Information Networks · Computer Science 2014-11-24 Radosław Michalski , Tomasz Kajdanowicz , Piotr Bródka , Przemysław Kazienko

Mesoscopic models of finite-size neuronal populations are crucial to understand the dynamics of neural networks in the brain, especially their fluctuations and response to stimuli. However, current theories to derive such models are based…

Neurons and Cognition · Quantitative Biology 2026-01-26 Nils E. Greven , Jonas Ranft , Tilo Schwalger

A general satellite channel model is proposed for communications between a rapidly moving low Earth orbit (LEO) satellite in a mega-constellation and a stationary user on Earth. The channel uses a non-homogeneous binomial point process…

Information Theory · Computer Science 2025-07-29 Brendon McBain , Yi Hong , Emanuele Viterbo

The topologies of predictable dynamic networks are continuously dynamic in terms of node position, network connectivity and link metric. However, their dynamics are almost predictable compared with the ad-hoc network. The existing routing…

Networking and Internet Architecture · Computer Science 2018-08-20 Zengyin Yang , Qian Wu , Zhize Li , Hewu Li , Jianping Wu

In a telecommunication network, Routing and Wavelength Assignment (RWA) is the problem of finding lightpaths for incoming connection requests. When facing a dynamic traffic, greedy assignment of lightpaths to incoming requests based on…

Optimization and Control · Mathematics 2023-05-11 Maryam Daryalal , Merve Bodur