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In this review we establish various connections between complex networks and symmetry. While special types of symmetries (e.g., automorphisms) are studied in detail within discrete mathematics for particular classes of deterministic graphs,…

General Finance · Quantitative Finance 2010-11-04 Diego Garlaschelli , Franco Ruzzenenti , Riccardo Basosi

Comment on ``The 2005 Neyman Lecture: Dynamic Indeterminism in Science'' [arXiv:0808.0620]

Methodology · Statistics 2008-08-06 Grace L. Yang

Comment on ``The 2005 Neyman Lecture: Dynamic Indeterminism in Science'' [arXiv:0808.0620]

Methodology · Statistics 2008-08-06 Hans R. Künsch

In this paper, subgraphs and complementary graphs are used to analyze the network synchronizability. Some sharp and attainable bounds are provided for the eigenratio of the network structural matrix, which characterizes the network…

Networking and Internet Architecture · Computer Science 2009-11-13 Zhisheng Duan , Chao Liu , Guanrong Chen

This paper presents an application of partial contraction analysis to the study of global synchronization in discrete chaotic systems. Explicit sufficient conditions on the coupling strength of networks of discrete oscillators are derived.…

Chaotic Dynamics · Physics 2007-05-23 Juan C. Botero , Jean-Jacques E. Slotine

This is a reply to the comment by J. L. Alonso et al. (arXiv:1302.6146; to appear in J. Chem. Phys) on our paper A. Abedi, N. T. Maitra, and E. K. U. Gross, J. Chem. Phys. 137, 22A530 (2012) [arXiv: 1208.4388]

Chemical Physics · Physics 2015-06-16 Ali Abedi , Neepa T. Maitra , E. K. U. Gross

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

The Response [J. Chem. Phys. 160, 187102 (2024)] of Inoue and coworkers to my Comment [J. Chem. Phys. 160, 187101 (2024)] on their original paper [J. Chem. Phys. 159, 054105 (2023)] clarifies some points put forward in my Comment, but also…

Chemical Physics · Physics 2024-06-25 Wenjian Liu

A unified approach for analyzing synchronization in coupled systems of autonomous differential equations is presented in this work. Through a careful analysis of the variational equation of the coupled system we establish a sufficient…

Adaptation and Self-Organizing Systems · Physics 2015-05-19 Georgi S. Medvedev

The re-identification or de-anonymization of users from anonymized data through matching with publicly available correlated user data has raised privacy concerns, leading to the complementary measure of obfuscation in addition to…

Information Theory · Computer Science 2023-10-26 Serhat Bakirtas , Elza Erkip

Correction to Annals of Applied Statistics 1 (2007) 17--35 [doi:10.1214/07-AOAS114]

Applications · Statistics 2009-09-29 David M. Blei , John D. Lafferty

This manuscript, a revised version of arXiv:0811.3168v1, was inadvertently submitted as a separate paper. It can now be accessed, including some final corrections for the published version, as arXiv:0811.3168v2.

Disordered Systems and Neural Networks · Physics 2009-11-13 Alessia Annibale , Peter Sollich

We comment on a Letter [Phys. Rev. Lett. 115, 080605 (2015), arXiv:1411.1816] "Replica symmetry breaking in trajectories of a driven Brownian particle" and author reply [arXiv:1805.10474]

Soft Condensed Matter · Physics 2018-09-24 Tapas Singha , Mustansir Barma

Here we give our reply to the comment by Sibirtsev et al on our paper ``Mass and K-Lambda Coupling of the N*(1535)".

High Energy Physics - Phenomenology · Physics 2008-11-26 B. C. Liu , B. S. Zou

This is a Comment on the Article ``Aging, phase ordering and conformal invariance'' by M.Henkel, M.Pleimling, C.Godr\`eche and J.M.Luck [Phys.Rev.Lett. 87, 265701 (2001)].

Statistical Mechanics · Physics 2009-11-07 Federico Corberi , Eugenio Lippiello , Marco Zannetti

After the rejection of their comment [arXiv:cond-mat/0609399v1] to our Phys. Rev. Lett. {\bf 97}, 100601 (2006), the Authors informed us that an extended version of their comment is going to be published in a different journal under the…

Statistical Mechanics · Physics 2007-05-23 Fulvio Baldovin , Enzo Orlandini

Due to time delays in signal transmission and processing, phase lags are inevitable in realistic complex oscillator networks. Conventional wisdom is that phase lags are detrimental to network synchronization. Here we show that judiciously…

Chaotic Dynamics · Physics 2018-08-15 Huawei Fan , Ying-Cheng Lai , Shi-Xian Qu , Xingang Wang

Synchronization and resonance on networks are some of the most remarkable collective dynamical phenomena. The network topology, or the nature and distribution of the connections within an ensemble of coupled oscillators, plays a crucial…

Dynamical Systems · Mathematics 2023-03-31 Paolo Bartesaghi

This is our formal Reply to revised version (v2) of arXiv: nucl-th/0510004v2.

Nuclear Theory · Physics 2009-11-11 V. Yu. Ponomarev , A. I. Vdovin

This talk was given at DIS'05 (Madison, April 27-May 2, 2005). It is a brief review of ups and downs of high density QCD during the past year.

High Energy Physics - Phenomenology · Physics 2015-06-25 Eugene Levin