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We consider an individual-based spatially structured population for Darwinian evolution in an asexual population. The individuals move randomly on a bounded continuous space according to a reflected brownian motion. The dynamics involves…

Probability · Mathematics 2015-09-08 Helene Leman

For a sensor network, a tractable spatially-dependent node deployment model is presented with the property that the density is inversely proportional to the sink distance. A stochastic model is formulated to examine message advancements…

Probability · Mathematics 2015-03-13 H. Paul Keeler

Evolutionary models on graphs, as an extension of the Moran process, have two major implementations: birth-death (BD) models (or the invasion process) and death- birth (DB) models (or voter models). The isothermal theorem states that the…

Quantitative Methods · Quantitative Biology 2015-05-19 Kamran Kaveh , Natalia Komarova , Mohammad Kohandel

We consider a contact process on $Z^d$ with two species that interact in a symbiotic manner. Each site can either be vacant or occupied by individuals of species $A$ and/or $B$. Multiple occupancy by the same species at a single site is…

Probability · Mathematics 2019-12-11 Rick Durrett , Dong Yao

We consider stability of scheduled multiaccess message communication with random coding and joint maximum-likehood decoding of messages. The framework we consider here models both the random message arrivals and the subsequent reliable…

Information Theory · Computer Science 2007-07-13 KCV Kalyanarama Sesha Sayee , Utpal Mukherji

This paper considers a natural variant of the $d$-dimensional multitype contact process in which individuals can be fertile or sterile. Fertile individuals of type $i$ give birth to an offspring of their own type at rate $\lambda_i$, the…

Probability · Mathematics 2025-10-08 Nicolas Lanchier , Max Mercer , Hyunsik Yun

Initial access in millimeter-wave (mmW) wireless is critical toward successful realization of the fifth-generation (5G) wireless networks and beyond. Limited bandwidth in existing standards and use of phase-shifters in analog/hybrid…

This paper reports on the first systematic study of congestion-aware routing algorithms for wireless mesh networks to achieve an improved end-end delay performance. In particular, we compare 802.11 compatible implementations of a set of…

Networking and Internet Architecture · Computer Science 2012-03-23 A. A. Bhorkar , T. Javidi , A. C. Snoeren

We investigate different emergent dynamics namely oscillation quenching and revival of oscillation in a global network of identical oscillators coupled with diffusive (positive) delay coupling as it is perturbed by symmetry breaking…

Adaptation and Self-Organizing Systems · Physics 2019-02-20 Prosenjit Kundu , Lekha Sharma , Mauparna Nandan , Dibakar Ghosh , Chittaranjan Hens , Pinaki Pal

We treat a setting in which two priority wireless service classes are offered in a given area by a drone small cell (DSC). Specifically, we consider broadband (BB) user with high priority and reliability requirements that coexists with…

Information Theory · Computer Science 2021-01-26 Igor Donevski , Jimmy Jessen Nielsen , Petar Popovski

In the Hammersley-Aldous-Diaconis process infinitely many particles sit in R and at most one particle is allowed at each position. A particle at x$ whose nearest neighbor to the right is at y, jumps at rate y-x to a position uniformly…

Probability · Mathematics 2007-07-31 Pablo A. Ferrari , James B. Martin

Continuous-time birth-death-shift (BDS) processes are frequently used in stochastic modeling, with many applications in ecology and epidemiology. In particular, such processes can model evolutionary dynamics of transposable elements -…

Methodology · Statistics 2014-12-02 Jason Xu , Peter Guttorp , Midori Kato-Maeda , Vladimir N. Minin

Spatial stochastic models have been much used for performance analysis of wireless communication networks. This is due to the fact that the performance of wireless networks depends on the spatial configuration of wireless nodes and the…

Information Theory · Computer Science 2016-06-10 Naoto Miyoshi , Tomoyuki Shirai

In real-world social and economic systems, the provisioning of public goods generally entails continuous interactions among individuals, with decisions to cooperate or defect being influenced by dynamic factors such as timing, resource…

Social and Information Networks · Computer Science 2025-05-20 Gui Zhang , Xiaojin Xiong , Bin Pin , Minyu Feng , Matjaž Perc

We report experimental evidence of the route to spatiotemporal chaos in a large 1D-array of hotspots in a thermoconvective system. Increasing the driving force, a stationary cellular pattern becomes unstable towards a mixed pattern of…

Chaotic Dynamics · Physics 2011-03-10 M. A. Miranda , J. Burguete

This paper addresses the stability and queueing delay of Space Division Multiple Access (SDMA) systems with bursty traffic, where zero-forcing beamforming enables simultaneous transmission to multiple mobiles. Computing beamforming vectors…

Information Theory · Computer Science 2009-02-03 Kaibin Huang , Vincent K. N. Lau

In this paper, we analyze the performance of cellular networks and study the optimal base station (BS) density to reduce the network power consumption. In contrast to previous works with similar purpose, we consider Poisson traffic for…

Information Theory · Computer Science 2015-06-24 Zheng Chen , Ling Qiu

Recent advances in spatial and temporal networks have enabled researchers to more-accurately describe many real-world systems such as urban transport networks. In this paper, we study the response of real-world spatio-temporal networks to…

Physics and Society · Physics 2016-07-05 Matthew J. Williams , Mirco Musolesi

As a favorite urban public transport mode, the bike sharing system is a large-scale and complicated system, and there exists a key requirement that a user and a bike should be matched sufficiently in time. Such matched behavior makes…

Probability · Mathematics 2017-07-25 Quan-Lin Li , Rui-Na Fan , Zhi-Yong Qian

Over the past decade, many works on the modeling of wireless networks using stochastic geometry have been proposed. Results about probability of coverage, throughput or mean interference, have been provided for a wide variety of networks…

Networking and Internet Architecture · Computer Science 2016-02-08 Alexandre Mouradian
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