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We give fault-tolerant algorithms for establishing synchrony in distributed systems in which each of the $n$ nodes has its own clock. Our algorithms operate in a very strong fault model: we require self-stabilisation, i.e., the initial…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-12 Christoph Lenzen , Joel Rybicki

Population protocols are a formal model of sensor networks consisting of identical mobile devices. Two devices can interact and thereby change their states. Computations are infinite sequences of interactions in which the interacting…

Logic in Computer Science · Computer Science 2018-07-03 Michael Blondin , Javier Esparza , Antonín Kučera

We present a self-stabilizing algorithm for the (asynchronous) unison problem which achieves an efficient trade-off between time, workload, and space in a weak model. Precisely, our algorithm is defined in the atomic-state model and works…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-08-04 Stéphane Devismes , David Ilcinkas , Colette Johnen , Frédéric Mazoit

This paper is concerned with the leader-following consensus problem for a class of Lipschitz nonlinear multi-agent systems with uncertain dynamics, where each agent only transmits its noisy output, at discrete instants and independently…

Optimization and Control · Mathematics 2020-07-03 Tomas Menard , Ali Syed , Emmanuel Moulay , Patrick Coirault , Michael Defoort

Population protocols are a fundamental model in distributed computing, where many nodes with bounded memory and computational power have random pairwise interactions over time. This model has been studied in a rich body of literature aiming…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-05 Simina Branzei , Yuval Peres

We consider the problem of stable matching with dynamic preference lists. At each time step, the preference list of some player may change by swapping random adjacent members. The goal of a central agency (algorithm) is to maintain an…

Computer Science and Game Theory · Computer Science 2016-06-29 Varun Kanade , Nikos Leonardos , Frédéric Magniez

This paper focuses on the problem of constructing time-varying feedback laws that asymptotically stabilize a given part of the state variables for nonlinear control-affine systems. It is assumed that the class of systems under consideration…

Optimization and Control · Mathematics 2021-05-21 Victoria Grushkovskaya , Alexander Zuyev

We propose a novel formulation for phase synchronization -- the statistical problem of jointly estimating alignment angles from noisy pairwise comparisons -- as a nonconvex optimization problem that enforces consistency among the pairwise…

Information Theory · Computer Science 2019-05-15 Tingran Gao , Zhizhen Zhao

We consider the \emph{exact plurality consensus} problem for \emph{population protocols}. Here, $n$ anonymous agents start each with one of $k$ opinions. Their goal is to agree on the initially most frequent opinion (the \emph{plurality…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-12 Gregor Bankhamer , Petra Berenbrink , Felix Biermeier , Robert Elsässer , Hamed Hosseinpour , Dominik Kaaser , Peter Kling

We study information aggregation in networks when agents interact to learn a binary state of the world. Initially each agent privately observes an independent signal which is "correct" with probability $\frac{1}{2}+\delta$ for some $\delta…

Computer Science and Game Theory · Computer Science 2025-08-12 Divyarthi Mohan , Pawel Pralat

Population protocols are a model of distributed computing where $n$ agents, each a simple finite-state machine, interact in pairs to solve a common task against a (adversarial) interaction scheduler. This model was intensively studied in…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-19 Tom-Lukas Breitkopf , Julien Dallot , Antoine El-Hayek , Stefan Schmid

In this paper, we study the phase transition behavior emerging from the interactions among multiple agents in the presence of noise. We propose a simple discrete-time model in which a group of non-mobile agents form either a fixed connected…

Optimization and Control · Mathematics 2008-10-21 Jialing Liu , Vikas Yadav , Hullas Sehgal , Joshua M. Olson , Haifeng Liu , Nicola Elia

We study synchronization of nonlinear systems that satisfy an incremental passivity property. We consider the case where the control input is subject to a class of disturbances, including constant and sinusoidal disturbances with unknown…

Systems and Control · Computer Science 2013-12-24 He Bai , S. Yusef Shafi

We study the minority-opinion dynamics over a fully-connected network of $n$ nodes with binary opinions. Upon activation, a node receives a sample of opinions from a limited number of neighbors chosen uniformly at random. Each activated…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-10-23 Luca Becchetti , Andrea Clementi , Francesco Pasquale , Luca Trevisan , Robin Vacus , Isabella Ziccardi

Partially ordered models of time occur naturally in applications where agents or processes cannot perfectly communicate with each other, and can be traced back to the seminal work of Lamport. In this paper we consider the problem of…

Computational Complexity · Computer Science 2023-05-26 Leif Eriksson , Victor Lagerkvist

We consider congestion control in peer-to-peer distributed systems. The problem can be reduced to the following scenario: Consider a set $V$ of $n$ peers (called clients in this paper) that want to send messages to a fixed common peer…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-12 Michael Feldmann , Thorsten Götte , Christian Scheideler

We investigate space-time trade-offs for population protocols in sparse interaction graphs. In complete interaction graphs, optimal space-time trade-offs are known for the leader election and exact majority problems. However, it has…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-19 Joel Rybicki , Jakob Solnerzik , Robin Vacus

Two remote agents with synchronized clocks may use them to act in concert and communicate. This necessitates some means of creating and maintaining synchrony. One method, not requiring any direct interaction between the agents, is to expose…

Statistical Mechanics · Physics 2026-05-20 Benjamin Sorkin , Thomas A. Witten

In this paper, we first study the leader-following output synchronization problem for a class of uncertain nonlinear multi-agent systems over jointly connected switching networks. Our approach integrates the output-based adaptive…

Optimization and Control · Mathematics 2024-11-04 Jie Huang

In the Contention Resolution problem $n$ parties each wish to have exclusive use of a shared resource for one unit of time. The problem has been studied since the early 1970s, under a variety of assumptions on feedback given to the parties,…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-13 Zixi Cai , Kuowen Chen , Shengquan Du , Tsvi Kopelowitz , Seth Pettie , Ben Plosk