English
Related papers

Related papers: Large deviations for the capacity in dynamic spati…

200 papers

This paper develops a diversity-multiplexing tradeoff (DMT) over a bidirectional random relay set in a wireless network where the distribution of all nodes is a stationary Poisson point process. This is a nontrivial extension of the DMT…

Information Theory · Computer Science 2009-09-25 Chun-Hung Liu , Jeffery G. Andrews

Network redundancy is one of the spatial network structural properties critical to robustness against cascading failures in power networks. The waiting-time distributions for network partitions in cascading failures explain how the spatial…

Physics and Society · Physics 2022-05-04 Long Huo , Xin Chen

This paper considers a two-hop interference network, where two users transmit independent messages to their respective receivers with the help of two relay nodes. The transmitters do not have direct links to the receivers; instead, two…

Information Theory · Computer Science 2009-10-09 Yi Cao , Biao Chen

The advent of renewable energy has huge implications for the design and control of power grids. Due to increasing supply-side uncertainty, traditional reliability constraints such as strict bounds on current, voltage and temperature in a…

Optimization and Control · Mathematics 2019-05-24 Tommaso Nesti , Jayakrishnan Nair , Bert Zwart

The transport capacity of a communication network can be characterized by the transition from a free-flow state to a congested state. Here, we propose a dynamic routing strategy in complex networks based on hierarchical bypass selections.…

Multiagent Systems · Computer Science 2022-07-05 Shiyuan Hu , Shihan Xiao

We propose a new cellular network model that captures both deterministic and random aspects of base station deployments. Namely, the base station locations are modeled as the superposition of two independent stationary point processes: a…

Information Theory · Computer Science 2017-10-03 Chang-Sik Choi , Jae Oh Woo , Jeffrey G. Andrews

In this paper, we are concerned with the reliability assessment of redundant multi-channel systems having multiple controllers with overlapping functionality -- where all controllers are required to respond optimally to the non-faulty…

Dynamical Systems · Mathematics 2015-03-27 Getachew K. Befekadu , Panos J. Antsaklis

DC networks play an important role within the ongoing energy transition. In this context, simulations of designed and existing networks and their corresponding assets are a core tool to get insights and form a support to decision-making.…

Systems and Control · Electrical Eng. & Systems 2024-06-03 Erwin Luesink , Juan Giraldo , Bernard Geurts , Johann Hurink , Hans Zwart

We introduce a dynamical model of node repair in distributed storage systems wherein the storage nodes are subjected to failures according to independent Poisson processes. The main parameter that we study is the time-average capacity of…

Information Theory · Computer Science 2020-09-22 Ohad Elishco , Alexander Barg

The effect of full-duplex cooperative relaying in a random access multiuser network is investigated here. First, we model the self-interference incurred due to full-duplex operation, assuming multi-packet reception capabilities for both the…

Information Theory · Computer Science 2016-11-17 Nikolaos Pappas , Marios Kountouris , Anthony Ephremides , Apostolos Traganitis

Markov processes with stochastic resetting towards the origin generically converge towards non-equilibrium steady-states. Long dynamical trajectories can be thus analyzed via the large deviations at Level 2.5 for the joint probability of…

Statistical Mechanics · Physics 2021-05-07 Cecile Monthus

By means of extensive computer simulations, the authors consider the entangled coevolution of actions and social structure in a new version of a spatial Prisoner's Dilemma model that naturally gives way to a process of social…

Physics and Society · Physics 2011-06-16 Víctor M. Eguíluz , Martín G. Zimmermann , Camilo J. Cela-Conde , Maxi San Miguel

The technique of cooperative communication has recently gained momentum in the research community; this technique utilizes the notion of relay, as an intermediate node between the source and the destination, to enhance the overall system…

Networking and Internet Architecture · Computer Science 2010-01-20 Abbass Marouni , Youssef Nasser , Maryline Hélard , Haidar El-Mokdad

In this paper, we consider the occupancy distribution for an open network of infinite server queues with multivariate batch arrivals following a non-homogeneous Poisson process, and general service time distributions. We derive a…

Probability · Mathematics 2023-03-29 Somya Mehra , Peter G. Taylor

Exploiting the coherent medium approximation, random walk among sites distributed randomly in space is investigated when the jump rate depends on the distance between two adjacent sites. In one dimension, it is shown that when the jump rate…

Statistical Mechanics · Physics 2021-09-27 Takashi Odagaki

We consider ALOHA and slotted ALOHA protocols as medium access rules for a multi-channel message delivery system. Users decide randomly and independently with a minimal amount of knowledge about the system at random times to make a message…

Probability · Mathematics 2023-01-20 Wolfgang König , Charles Kwofie

Transition points mark qualitative changes in the macroscopic properties of large complex systems. Explosive transitions, exhibiting properties of both continuous and discontinuous phase transitions, have recently been uncovered in network…

Physics and Society · Physics 2021-06-01 Nora Molkenthin , Malte Schröder , Marc Timme

We establish a large deviation principle for the empirical measure process associated with a general class of finite-state mean field interacting particle systems with Lipschitz continuous transition rates that satisfy a certain ergodicity…

Probability · Mathematics 2016-01-26 Paul Dupuis , Kavita Ramanan , Wei Wu

We provide a framework for determining the centralities of agents in a broad family of random networks. Current understanding of network centrality is largely restricted to deterministic settings, but practitioners frequently use random…

Social and Information Networks · Computer Science 2022-02-07 Krishna Dasaratha

We consider scaling laws for maximal energy efficiency of communicating a message to all the nodes in a wireless network, as the number of nodes in the network becomes large. Two cases of large wireless networks are studied -- dense random…

Information Theory · Computer Science 2009-05-26 Aman Jain , Sanjeev R. Kulkarni , Sergio Verdu