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Owing to the influence of real-world networks both in science and society, numerous mathematical models have been developed to understand the structure and evolution of these systems, particularly in a temporal context. Recent advancements…

Probability · Mathematics 2025-10-29 Sayan Banerjee , Shankar Bhamidi , Partha Dey , Akshay Sakanaveeti

The dynamic decode-and-forward (DDF) relaying protocol is a relatively new cooperative scheme which has been shown to achieve promising theoretical results in terms of diversity-multiplexing gain tradeoff and error rates. The case of a…

Information Theory · Computer Science 2015-03-17 Charlotte Hucher , Parastoo Sadeghi

This paper analyzes the impact of statistical delay constraints on the achievable rate of a two-hop wireless communication link, in which the communication between a source and a destination is accomplished via a buffer-aided relay node. It…

Information Theory · Computer Science 2016-03-24 Deli Qiao , M. Cenk Gursoy

Virtually all real-world networks are dynamical entities. In social networks, the propensity of nodes to engage in social interactions (activity) and their chances to be selected by active nodes (attractiveness) are heterogeneously…

Physics and Society · Physics 2017-06-13 Laura Alessandretti , Kaiyuan Sun , Andrea Baronchelli , Nicola Perra

Synchronization in an array of mutually coupled systems with a finite time-delay in coupling is studied using Josephson junction as a model system. The sum of the transverse Lyapunov exponents is evaluated as a function of the parameters by…

Chaotic Dynamics · Physics 2008-05-22 Chitra R Nayak , V. C. Kuriakose

In this work, we consider the case where a source with bursty traffic can adjust the transmission duration in order to increase the reliability. The source is equipped with a queue in order to store the arriving packets. We model the system…

Information Theory · Computer Science 2018-09-11 Nikolaos Pappas

This paper proposes an innovative end-to-end deterministic network mechanism to achieve delay-bounded transmissions across multiple network domains. The proposed mechanism installs discrete shapers at the edge of the network domains, which…

Networking and Internet Architecture · Computer Science 2023-05-17 Binwei Wu , Shuo Wang , Weiqian Tan

Distributed delay equations have been used to model situations in which there is some sort of delay whose duration is uncertain. However, the interpretation of a distributed delay equation is actually very different from that of a delay…

Dynamical Systems · Mathematics 2021-06-23 Philip Doldo , Jamol Pender

In modern computer systems, jobs are divided into short tasks and executed in parallel. Empirical observations in practical systems suggest that the task service times are highly random and the job service time is bottlenecked by the…

Performance · Computer Science 2017-02-08 Yin Sun , C. Emre Koksal , Ness B. Shroff

In this paper, we derive the distribution of a two-dimensional (complex) random walk in which the angle of each step is restricted to a subset of the circle. This setting appears in various domains, such as in over-the-air computation in…

Signal Processing · Electrical Eng. & Systems 2026-05-18 Karl-Ludwig Besser

Scheduling is a critical and challenging resource allocation mechanism for multihop wireless networks. It is well known that scheduling schemes that favor links with larger queue length can achieve high throughput performance. However,…

Networking and Internet Architecture · Computer Science 2016-11-17 Bo Ji , Changhee Joo , Ness B. Shroff

We base ourselves on the construction of the two-dimensional random interlacements [12] to define the one-dimensional version of the process. For this constructions we consider simple random walks conditioned on never hitting the origin,…

Probability · Mathematics 2016-08-04 Darcy Camargo , Serguei Popov

We introduce the driven discrete time quantum walk, where walkers are added during the walk instead of only at the beginning. This leads to interference in walker number and very different dynamics when compared to the original quantum…

Quantum Physics · Physics 2016-09-01 Craig S. Hamilton , Sonja Barkhofen , Linda Sansoni , Igor Jex , Christine Silberhorn

We consider state-feedback predictor-based control of networked control systems with large time-varying communication delays. We show that even a small controller-to-actuators delay uncertainty may lead to a non-small residual error in a…

Optimization and Control · Mathematics 2016-11-07 A. Selivanov , E. Fridman

A non-regenerative dual-hop wireless system based on a distributed space-time coding strategy is considered. It is assumed that each relay retransmits an appropriately scaled space-time coded version of its received signal. The main goal of…

Information Theory · Computer Science 2016-11-18 Jamshid Abouei , Hossein Bagheri , Amir K. Khandani

The iterated random walk is a random process in which a random walker moves on a one-dimensional random walk which is itself taking place on a one-dimensional random walk, and so on. This process is investigated in the continuum limit using…

Statistical Mechanics · Physics 2007-05-23 L. Turban

Delay tolerant Networks (DTNs) leverage the mobility of relay nodes to compensate for lack of permanent connectivity and thus enable communication between nodes that are out of range of each other. To decrease message delivery delay, the…

Networking and Internet Architecture · Computer Science 2009-08-07 Eitan Altman , Francesco De Pellegrini , Lucile Sassatelli

In this paper, we consider a load balancing system under a general pull-based policy. In particular, each arrival is randomly dispatched to one of the servers whose queue lengths are below a threshold, if there are any; otherwise, this…

Performance · Computer Science 2018-08-22 Xingyu Zhou , Jian Tan , Ness Shroff

Performing random walks in networks is a fundamental primitive that has found applications in many areas of computer science, including distributed computing. In this paper, we focus on the problem of sampling random walks efficiently in a…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-02-20 Atish Das Sarma , Danupon Nanongkai , Gopal Pandurangan , Prasad Tetali

We propose a straightforward extension of symbolic transfer entropy to enable the investigation of delayed directional relationships between coupled dynamical systems from time series. Analyzing time series from chaotic model systems, we…

Neurons and Cognition · Quantitative Biology 2016-10-10 Henning Dickten , Klaus Lehnertz
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