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We study the effects of nonzero time delays in stochastic synchronization problems with linear couplings in an arbitrary network. Using the known exact threshold value from the theory of differential equations with delays, we provide the…

Statistical Mechanics · Physics 2015-03-17 D. Hunt , G. Korniss , B. K. Szymanski

Algorithms for the synchronisation of clocks across networks are both common and important within distributed systems. We here address not only the formal modelling of these algorithms, but also the formal verification of their behaviour.…

Logic in Computer Science · Computer Science 2018-09-28 Paul Gainer , Sven Linker , Clare Dixon , Ullrich Hustadt , Michael Fisher

Many geometric estimation problems take the form of synchronization over the special Euclidean group: estimate the values of a set of poses given noisy measurements of a subset of their pairwise relative transforms. This problem is…

Robotics · Computer Science 2017-02-13 David M. Rosen , Luca Carlone , Afonso S. Bandeira , John J. Leonard

Populations of flashing fireflies, claps of applauding audience, cells of cardiac and circadian pacemakers reach synchrony via event-triggered interactions, referred to as pulse couplings. Synchronization via pulse coupling is widely used…

Systems and Control · Computer Science 2017-10-16 Anton V. Proskurnikov , Ming Cao

This paper studies a scheduling problem in a parallel machine setting, where each machine must adhere to a predetermined fixed order for processing the jobs. Given $n$ jobs, each with processing times and deadlines, we aim to minimize the…

Data Structures and Algorithms · Computer Science 2025-05-16 Andre Berger , Arman Rouhani , Marc Schröder

Logical qubits can be protected against environmental noise by encoding them into a highly entangled state of many physical qubits and actively intervening in the dynamics with stabilizer measurements. In this work, we numerically optimize…

Quantum Physics · Physics 2025-06-18 Áron Márton , János K. Asbóth

We consider single-hop radio networks with multiple channels as a model of wireless networks. There are $n$ stations connected to $b$ radio channels that do not provide collision detection. A station uses all the channels concurrently and…

Data Structures and Algorithms · Computer Science 2018-12-31 Bogdan S. Chlebus , Gianluca De Marco , Dariusz R. Kowalski

Motivated by applications in blockchains and sensor networks, we consider a model of $n$ nodes trying to reach consensus on their majority bit. Each node $i$ is assigned a bit at time zero, and is a finite automaton with $m$ bits of memory…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-06-08 Giulia Fanti , Nina Holden , Yuval Peres , Gireeja Ranade

Energy-saving optimization is very important for various engineering problems related to modern distributed systems. We consider here a control problem for a wireless sensor network with a single time server node and a large number of…

Optimization and Control · Mathematics 2014-08-08 Larisa Manita

We improve complexity bounds for energy-efficient speed scheduling problems for both the single processor and multi-processor cases. Energy conservation has become a major concern, so revisiting traditional scheduling problems to take into…

Data Structures and Algorithms · Computer Science 2014-02-19 Vincent Cohen-Addad , Zhentao Li , Claire Mathieu , Ioannis Millis

Real-time systems rely on a distributed global time base. As any physical clock device suffers from noise, it is necessary to provide some kind of clock synchronization to establish such a global time base. Different clock synchronization…

Networking and Internet Architecture · Computer Science 2016-09-23 Wolfgang Wallner

In a state-update protocol for a system of $L$ asynchronous parallel processes that communicate only with nearest neighbors, global desynchronization in operation times can be deduced from kinetic roughening of the corresponding…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 A. Kolakowska , M. A. Novotny

Consensus protocols for asynchronous networks are usually complex and inefficient, leading practical systems to rely on synchronous protocols. This paper attempts to simplify asynchronous consensus by building atop a novel threshold logical…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-17 Bryan Ford

In this paper we consider a variant of population protocols in which agents are allowed to be connected by edges, known as the constructors model. During an interaction between two agents the relevant connecting edge can be formed,…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-01 Leszek Gasieniec , Paul Spirakis , Grzegorz Stachowiak

In this paper, we investigate the approximate consensus problem in highly dynamic networks in which topology may change continually and unpredictably. We prove that in both synchronous and partially synchronous systems, approximate…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-11-13 Bernadette Charron-Bost , Matthias Függer , Thomas Nowak

Synchronization and localization are critical challenges for the coherent functioning of a wireless network, which are conventionally solved independently. Recently, various estimators have been proposed for pairwise synchronization between…

Applications · Statistics 2015-04-15 Raj Thilak Rajan , Alle-Jan van der Veen

In extending fast digital clock synchronization to the bounded-delay model, the expected constant time Byzantine pulse resynchronization problem is investigated. In this problem, the synchronized state of the system should not only be…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-29 Shaolin Yu , Jihong Zhu , Jiali Yang , Wei Lu

We propose a gathering protocol for an even number of robots in a ring-shaped network that allows symmetric but not periodic configurations as initial configurations, yet uses only local weak multiplicity detection. Robots are assumed to be…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-08-01 Sayaka Kamei , Anissa Lamani , Fukuhito Ooshita , Sébastien Tixeuil

Synchronization of coupled oscillators is a ubiquitous phenomenon found throughout nature. Its robust realization is crucial to our understanding of various nonlinear systems, ranging from biological functions to electrical engineering. On…

Adaptation and Self-Organizing Systems · Physics 2022-07-27 Kazuki Sone , Yuto Ashida , Takahiro Sagawa

In this paper, we study the tradeoff between the approximation guarantee and adaptivity for the problem of maximizing a monotone submodular function subject to a cardinality constraint. The adaptivity of an algorithm is the number of…

Data Structures and Algorithms · Computer Science 2018-11-01 Alina Ene , Huy L. Nguyen